CURRICULUM

VITAE

Name:

John Joseph Dorning

Address 116 Engineer’s Way, University of Virginia

: P.O. Box 400745

Charlottesville, Virginia 22904-4745

Telephone

: (434) 982-5460

E-Mail:

dorning@virginia.edu

Education

:

PhD 1967, Columbia University, Nuclear Science and Engineering (Atomic Energy Commission Special Fellowship), Mark Mills Award.

MS 1963, Columbia University, Nuclear Science and Engineering (Atomic Energy Commission

Special Fellowship), Citation for Outstanding Achievement as a Graduate Student. BS 1959, U.S. Merchant Marine Academy, Marine Engineering, Dean's List, Three Varsity Sports,

Other Extra-Curricular Activities. Employment

:

1984-Present Whitney Stone Professor of Nuclear Engineering, Professor of Engineering Physics, and Professor of Applied Mathematics, University of Virginia. 1984-86 Member, Center for Advanced Studies, University of Virginia. 1975-84 Professor of Nuclear Engineering, University of Illinois. 1998-99 CNRS Visiting Professor of Mathematics, Université Paul Sabatier, Toulouse, France. Spring 1983,84,86 International Professorship in Nuclear Engineering, Ministry of Education, Italy. Summer 1981,85,87 National Research Council Visiting Professor of Mathematical Physics,

University of Bologna, Bologna, Italy. 1977-78 Theoretical Physicist, Plasma Theory Group, Division of Magnetic Fusion Energy,

Lawrence Livermore National Laboratory. Summer 1977 Visiting Scientist, Fusion Technology Group, Brookhaven National Laboratory. Summer 1976 Visiting Scientist, Fusion Technology Group, Brookhaven National Laboratory. 1975-76 National Research Council Visiting Professor of Mathematical Physics, University

of Bologna, Bologna, Italy. Summer 1975 Visiting Scientist, Fusion Technology Group, Brookhaven National Laboratory. 1970-75 Associate Professor of Nuclear Engineering, University of Illinois. Summer 1974 Visiting Scientist, Reactor Safety Division, Brookhaven National Laboratory. 1969-70 Group Leader, Reactor Physics Analysis Group, Brookhaven National Laboratory. 1969-70 Associate Physicist, Reactor Theory Group, Brookhaven National Laboratory. 1967-69 Assistant Physicist, Reactor Theory Group, Brookhaven National Laboratory. Employment (While Full-Time Graduate Student on Fellowship)

:

1965-67 Junior Research Associate, Reactor Theory Group, Brookhaven National Laboratory. 1964-65 Adjunct Instructor of Physics and Mechanical Engineering, Manhattan College, NY. 1963 Adjunct Assistant Professor of Nuclear Engineering, U. S. Merchant Marine Academy, NY. 1963 Summer Research Assistant, Experimental Reactor Physics, Brookhaven National Laboratory.

Employment (Prior to Graduate School)

:

1960-62 Marine Engineer, U.S. Merchant Marine. 1959-60 Main Propulsion Officer, Destroyer Tender, U.S. Navy. Honors and Awards

:

USMMAAA Award for Outstanding Professional Achievement, 2009. National Academy of Engineering, 2007 Glenn T. Seaborg Medal, American Nuclear Society, 2002. Eugene P. Wigner Reactor Physicist Award, American Nuclear Society, 1999. Arthur Holly Compton Award, American Nuclear Society, 1998. Ernest O. Lawrence Memorial Award, U.S. Department of Energy, 1990. Glenn Murphy Award, American Society for Engineering Education, 1988. Fellow, American Association for the Advancement of Science, 1986. USMMAAA Award for Outstanding Professional Achievement, 1984. Awarded the International Professorship in Nuclear Science and Engineering by the Italian Ministry of Public Education, 1983, 1984 and 1986. Fellow, American Physical Society, 1982. U.S. Delegate, International Organization for Economic Cooperation and Development (OECD) Specialists' Meeting on Reactor Noise: SMORN-III, Tokyo, Japan, 1981. C.N.R. Visiting Professorships in Mathematical Physics - Summers 1981, 85, 87 (Awarded by the Committee for Mathematical Sciences of the Italian National Research Council and Spent at the University of Bologna, Bologna, Italy). U.S. Delegate, International OECD Specialists' Meeting on Calculation of Three-Dimensional Rating Distributions in Operating Reactors, Paris, France, 1979. U.S. Delegate, International Atomic Energy Agency (IAEA)/OECD International Symposium on Fast Reactor Physics, Aix-en-Provence, France, 1979. Fellow, American Nuclear Society, 1978. C.N.R. Visiting Professorship in Mathematical Physics, 1976 (Awarded by the Committee for Mathematical Sciences of the Italian National Research Council and Spent at the University of Bologna, Italy). U.S. Delegate, International OECD Specialists' Meeting on Three-Dimensional Neutron Kinetics and the Safety and Nuclear Installations, Munich, Germany, 1975. Mark Mills Award, American Nuclear Society, 1967. Editorships

:

Editor-in-Chief, Transport Theory and Statistical Physics, 1995-Present. Member, Editorial Board, Nuclear Science and Engineering, 1984-Present. Member, Editorial Board, Discrete Dynamics in Nature and Society, 1995-Present. Professional Societies

:

American Nuclear Society (Fellow), American Physical Society (Fellow), Society for Industrial and Applied Mathematics, American Association for the Advancement of Sciences (Fellow), National Academy of Engineering. Research and Supervisory Experience

:

During the period 1965 to 1967, he worked on his doctoral research at Brookhaven National Laboratory. This work included theoretical and analytical transport theory studies, model calculations, and numerical computations of pulse neutron die-away and neutron energy spectra in moderating media. It was for this research that he received the 1967 American Nuclear Society Mark Mills Award. From 1967 to 1969, as a staff member of the BNL Reactor Theory Group, he continued theoretical and analytical

studies in transport theory, neutron physics and reactor mathematics with application to time relaxation, wave propagation and spatial relaxation of thermal neutron fields in moderating media. He also began research on the transient behavior of neutron populations in fast reactor assemblies during this period. In 1969, he was made group leader of the Reactor Physics Analysis Group at BNL. Work done by this group included extensive transport computations and analysis of small spherical fast critical assemblies and comparison with experimental data, analysis of plutonium - heavy water lattices and comparison with experimental data, studies of the Pu-239 capture to fission ratio, studies of group collapsing methods, development of variational methods for the solution of the fast neutron transport equation, and development of methods for combining high order and low order SN calculations and Monte Carlo calculations. From 1969 to 1970, he also continued in his previous position as a member of the Reactor Theory Group and pursued theoretical studies on transient fast neutron populations described by the Boltzmann equation in non-multiplying and subcritical multiplying assemblies. He also began studies on the kinetic theory of sound-wave propagation according to the Boltzmann equation for gases. After moving to the University of Illinois in 1970, he continued neutron transport theory studies for fast multiplying reactor assemblies. These studies included the existence and uniqueness of solutions and the spectral theory of fast neutron migration operators in weighted L1-spaces, the development of a generalized finite-medium dispersion formalism for transient phenomena described by the fast neutron Boltzmann equation, the development of special computational schemes which retain the correct analyticity properties of neutron migration dispersion laws, and the development of a general transport formulation of the theory of neutron noise and the incorporation of the results of these studies into that formulation for the purpose of interpreting reactivity measurements. He also initiated and carried out studies on coarse-mesh numerical methods which formally utilize Green's functions defined over nodes or subdomains of the regions under consideration for multidimensional reactor kinetics, neutron transport, kinetic theory, heat transfer, and fluid flow calculations. It was the research summarized above, on the "development and use of mathematical transport theory for the theoretical interpretation of physical experiments of interest in reactor theory" and on the "development of new computational methods for use in reactor physics calculations and reactor kinetics calculations, and reactor heat transfer and fluid flow calculations," that was cited when he was awarded fellowship in the American Nuclear Society. He also completed work on existence and uniqueness of solutions and the spectra of the hard-sphere-gas and the inverse-power-law-gas Boltzmann operators in classes of L1-spaces. He initiated and carried out collaborative studies to identify deficiencies in nuclear data via fast-neutron and secondary-gamma-ray integral experiments and their analyses. He carried out theoretical studies on test-particle slowing-down, and theoretical and computational studies on the ablation of pellets injected into tokamak fusion plasmas for the purpose of refueling future fusion reactors. He also developed a systematic derivation of point reactor kinetics and a simultaneous homogenization theory for heterogeneous reactors and established their relationships to exact space-, energy- and angle-dependent reactor kinetics. He carried out studies on neutron streaming problems in fusion reactor blankets and on accelerator-driven fission reactor concepts for rejuvenating nuclear fuel. He also completed studies on the electron physics of conventional mirror and thermal barrier tandem mirror fusion devices. Since coming to the University of Virginia in 1984, he has obtained exact singular Eigenfunction solutions to azimuthally asymmetric neutral particle transport problems, studied nonlinear stability and Hopf bifurcation phenomena in two-phase flow, developed variational formulations of nodal transport and diffusion computational methods, explored bifurcation phenomena in rotational flow fluid mechanics problems, studied the nonlinear dynamics of coupled Boltzmann equations, and established the chaotic behavior of forced two-phase-flow systems. He has carried out rigorous nonlinear analysis of the Vlasov-Poisson equations in the kinetic theory of collisionless plasmas, and has obtained exact bifurcating undamped periodic traveling wave solutions and solitary wave and traveling double-layer solutions to these Hamiltonian systems which are of interest in space plasmas and related satellite observations. He also has done work on the development of new computational methods for Fokker-Planck equations, Burgers and K-dV equations, particle transport problems in boundary-fitted coordinates and meteorological models More recently he has completed research on the control of the chaotic and periodic dynamics of convective flows represented by the Lorenz equations, and on steady, periodic and chaotic convective flows described by the full Navier-Stokes-Boussinesq equations; and he has completed research establishing superimposed travelling-waves as solutions to the nonlinear Vlasov-Poisson equations of plasma kinetic theory and on the related nonlinear Landau damping of plasmas to final states of this type, a family of problems that have long been of interest in space plasmas, and recently have become very relevant to the explanation of laser-plasma experiments done in support of the design of the national ignition facility for laser fusion and national defense research.

He has participated in an interdisciplinary activity, sponsored by the Sloan Foundation, whose objective was ultimately to embody social and humanistic values and ideas in scientific and engineering education in such a way that they will instill in students a recognition of their responsibility to delve into the sociological and humanistic consequences and implications of their scientific and technological activities, and thereby, will incorporate this responsibility into their future professional lives. While at the University of Illinois, his name was consistently on the University's semi-annual "List of Teachers Ranked as Excellent by Their Students," and his teaching activities at the University of Virginia have been similarly recognized. Doctoral students who were his advisees have received numerous scientific and engineering awards for their dissertation research. These include several best paper awards at National and International Meetings, an unprecedented five annual American Nuclear Society Mark Mills Awards for outstanding research leading to the advancement of science and engineering related to the atomic nucleus, and an unprecedented four annual University of Virginia Allan Talbott Gwathmey Memorial Awards for the most outstanding graduate research on fundamental problems in the physical sciences. In 1975 he was one of two U.S. delegates to the Specialists' Meeting on New Developments in Three Dimensional Kinetics and the Safety of Nuclear Installations which was convened by the International OECD and held in Munich. He was awarded the 1976 Consiglio Nationale delle Ricerche Visiting Professorship in Mathematical Physics (awarded by the Committee for Mathematical Sciences of the Italian National Research Council and spent at the University of Bologna). In 1979 he was one of nine U.S. delegates to the IAEA/OECD International Symposium on Fast Reactor Physics, Aix-en-Provence, France, and one of seven U.S. delegates to the OECD/NEA-CRP Specialists' Meeting on Calculation of Three-Dimensional Rating Distributions in Operating Reactors, Paris, France. He again was awarded Consiglio Nationale delle Ricerche Visiting Professorships during the summers on 1981, 1985 and 1987. He was one of five U.S. delegates to the OECD/NEA-CRP Specialists' Meeting on Reactor Noise, Tokyo, 1981. In 1983 he was appointed by the Italian Ministry of Public Education to their First International Professorship in Nuclear Science and Engineering, and he was appointed again in 1984 and 1986. He has given numerous seminars and colloquia at universities and research institutes in the United States, Europe and China, and has been an invited participant and presented invited papers and featured plenary lectures at numerous national and international symposia and congresses. In 1988 he was awarded the American Society for Engineering Education's Glenn Murphy Award for teaching and research, in 1990 the U.S. Department of Energy's prestigious Ernest O. Lawrence Memorial Award for research, in 1998 the American Nuclear Society's Arthur Holly Compton Award for teaching and research, in 1999 the American Nuclear Society's Eugene P. Wigner Reactor Physicist Award for research, and in 2002 the American Nuclear Society’s Glenn T. Seaborg Medal for research. He is a fellow of the American Nuclear Society, the American Physical Society and the American Association for the Advancement of Science, and he is a member of the National Academy of Engineering. He has served as a consultant to national laboratories and industrial research organizations on reactor physics, reactor kinetics, neutron and radiation transport, computational methods development, particle transport theory, fluid mechanics, thermohydraulics, plasma physics, nonlinear dynamics and deterministic chaos, fusion studies, and advanced energy technology concepts. He also has served on numerous scientific and engineering advisory committees for national laboratories the US and abroad. He currently serves on the Scientific Committee for the Commisariat à l’Energie Atomique for the Government of France; and he gives an Annual Lecture Series on Reactor Kinetics and Reactor Dynamics at the International Advanced Postgraduate School of the Institut National des Sciences et Techniques Nucléaires in France. Military and Other Experience

:

While in the Navy he oversaw the operation, maintenance and repair of shipboard steam turbines and boilers and supervised seventy men in the two divisions that carried out this work. During the time spent in the Merchant Marine, he was in charge of engine room and boiler room watches, and supervised and carried out maintenance and repair of steam turbines, boilers and other machinery. He is a registered professional nuclear engineer, and he holds a marine engineer's license. Fields of Active Research

:

Fission Reactor Theory, Fission Reactor Kinetics, Neutron and Radiation Transport Theory, Computational Methods Development, Fluid Mechanics, Thermal Hydraulics, Plasma Physics, Nonlinear Dynamical Systems and Deterministic Chaos, Kinetic Theory of Gases.

Research Plan for the General Atomics Chair at the University of South Carolina

(Vision Statement for the USC General Atomics Center for the Development of Transformational Nuclear Technologies)

J. Dorning

Introduction Since Ph. D. and M. S. degree programs in Nuclear Engineering (NE) already exist within the Mechanical Engineering Department in the College of Engineering and Computing at USC, and since Professor Dan Cacuci has recently joined the NE Program as Chair Professor and Director of the SmartState Center of Economic Excellence, research programs and instructional programs in nuclear science and energy (NS&E), and also in some non-nuclear, energy-related areas, already exist. Therefore, building on this existing infrastructure will be the task of the General Atomics (GA) chair-holder. Although this educational infrastructure and research activity does exist, there is a very substantial amount of building that must be done if USC is to achieve national and international stature in energy-related research in general and in nuclear energy research in particular. The holder of the GA Chair also will be building on his past research activities and achievements, on the USC Administration’s clear commitment to energy research and to nuclear energy research, on the State of South Carolina’s strong commitment to these two activities, and on GA’s commitment to, and activities in nuclear energy R & D. Thus, the theme of this research plan will be “Building on …” The details that follow in this plan will make this clear, and they also will make it very evident that the major sub-theme will be collaboration and cooperation, most obviously with Professor Dan Cacuci—with whose research plan this plan is being coordinated.

Building on South Carolina’s Commitment Clearly South Carolina has made a strong commitment to energy in general and to nuclear energy in particular—with its numerous coal-fired power plants and its seven operating nuclear power plants, plus an additional two plants that SCANA very recently announced, all leading to the state being in the very unusual and very enviable position it occupies as a net exporter of energy. The presence of the Department of Energy’s Savannah River Site for nuclear research and production, of course, adds significantly to existing nuclear science and energy

research infrastructure in the state. The increase, over the past two decades, of high tech industry and industrial facilities in general in South Carolina (e.g. the Boeing Company’s recent decision to build a major production facility in S.C.) adds, not only to additional energy demand and an urgent need for a population that has a higher level of education in engineering and science, but also a great need for more advanced and more extensive research in engineering and science— including research in areas related to clean energy production (nuclear, clean coal, wind, solar, etc.).

Beyond the state—just a little beyond it to include North Carolina—there is a budding joint program between S.C. and N.C. (which already has five operating nuclear power plants, and a similarly strong commitment to nuclear power) in the form of an economic development cluster, the Carolinas Nuclear Cluster. This joint interstate venture, although in its infancy, promises to be a strong advocate of industrial development, and especially nuclear power development in the two-state area, The Carolinas. With South Carolina’s seven operating nuclear plants plus the two recently committed by SCANA plus the two plants whose announcement is anticipated in the near future, combined with North Carolina’s five operating nuclear plants plus two announcements expected soon, the total in The Carolinas will rise to no fewer than eighteen! This impressive number—combined with the facts that South Carolina’s seven existing nuclear plants already provide 52% of the state’s electrical power generation, and North Carolina’s five nuclear plants provide 32% of that state’s total electrical power generation—indicate that The Carolinas Nuclear Cluster is not just talk. Rather, we can anticipate that it will provide—in the not too distant future—an environment and a proactive organization that will lead to a continued expansion of the nuclear industry in the Carolinas, and a commensurate expansion of industry-sponsored research at Carolina universities. These regional developments in the Carolinas combined with the long-delayed national and international “nuclear renascence” (finally confirmed by the commitment to two new plants just across the S.C. boarder in northern Georgia, and SCE&G’s commitment to two within an easy twenty-mile commute from Columbia and USC!), and the DOE’s recently expanded programs in advanced nuclear reactor development and computational modeling of nuclear reactors, all combine to provide an excellent state, regional, and national environment for building both a nuclear energy research program and a more general clean energy research program.

Building on Past Research Activities As stated in the Introduction, this research plan is coordinated with that of Professor Cacuci. Thus, some of the planned research programs and projects summarized below will be led jointly by him and Professor Dorning, some will be led by him with Professor Dorning participating, some will be led by Professor Dorning with Professor Cacuci participating, and some of the smaller projects will be pursued independently by one or the other of them. Professor Cauci has made numerous important research contributions in many, many areas—most notably in the fundamentals of sensitivity and uncertainty analysis and its application to

linear and especially nonlinear engineering problems. Therefore, he clearly will be the leader, at least initially, in the programs and projects in this area. Professor Dorning also has worked in many areas of research, including the analysis of nonlinear engineering problems using both large-scale scientific computing methods for practical engineering problems and analytical and computational methods for simplified models of such problems. (This involved the utilization of numerical methods for bifurcation analysis and nonlinear dynamical systems analysis for large-scale nonlinear problems, and analytical and numerical methods for nonlinear model problems.) Therefore, he would be the likely leader, at least initially, in some programs and projects in these areas—although Professor Cacuci also has experience in these areas, and could lead related projects. Professor Dorning also has done a considerable amount of research in nuclear reactor analysis, nuclear reactor kinetics, nuclear reactor stability, radiation and particle transport, computational methods development for nuclear reactor analysis and fluid dynamics, and applications of bifurcation theory, related stability analysis, nonlinear dynamical systems analysis and deterministic chaos analysis to more general engineering and scientific problems. [His research programs in these areas were supported by the Department of Energy (DOE), the Office of Naval Research (ONR), the Nuclear Regulatory Commission (NRC), DOE National Laboratories (Argonne and Brookhaven), NASA, NASA Laboratories, the NSF, the Electric Power Research Institute (EPRI), and the Schlumberger Corporation); and his contributions in many of these areas were cited in various honors and awards he has received over the years—including the Department of Energy’s Ernest O. Lawrence Memorial Award and membership in the National Academy of Engineering.] Professor Cacuci also has done significant research in several of these areas; so, collaboration and cooperation in joint programs and projects will be quite a natural direction to take. In fact, we already have collaborated on several projects in the past—when we were physically located at different institutions (on different continents!). The research plan for the GA Chair, if occupied by Professor Dorning, therefore, will be to build on these past research activities, both Professor Cacuci’s and Professor Dorning’s, in a symbiotic collaborative and cooperative plan to develop large extramurally funded research programs. These will be built on the state’s, region’s and nation’s commitments to energy research and nuclear energy research, on General Atomic’s commitment to nuclear energy R&D, and on potential GA/USC research programs; and, of course, on the existing USC educational infrastructure.

Building on the State, Region and National Commitments to Energy Research and Nuclear Energy Research In order to build on these commitments Professor Cacuci and I will pursue research in several areas that will lead to transformational nuclear technologies. The first is one in which we have independently developed considerable interest during the past decade, but in which we have not yet started a collaborative effort. This is the area of the conceptualization and preliminary design of innovative accident-resistant nuclear reactors: (1) large light-water thermal reactors

(LWRs); (2) small and medium-size reactors—both thermal spectrum and fast spectrum—sometimes referred to as modular reactors; and (3) possibly large fast reactors—although this will be a lower priority than the large LWRs and the modular reactors. The DOE Savannah River Site at Aiken, SC (just “down the road”—about fifty miles from USC) will be a natural location for the large experiments, etc. that should result from our initial conceptual studies which we anticipate will be supported by the US DOE NE Division jointly with SC, NC and Georgia electric utilities and nuclear industry, and possibly utilities and industry beyond that three-state region. (Our work on the modular reactors may also lead to ideas and advances that could be incorporated into GA’s Energy Multiplier Module (EM2) concept.) Our program in this area—which we expect to be a large program—will be led jointly by Professor Cacuci and me.

Another large program will be an R&D program on the conceptualization and design of small modular reactors for the production of diesel fuel from domestic waste and possibly from other non-conventional sources. This program will be led by Professor Cacuci, with participation by me; and we shall seek support for it from a consortium of industrial organizations and government agencies. As in the case of the innovative accident-resistant reactor program mentioned immediately above, the DOE Savannah River Site will be a natural and convenient location for large experiments and a prototype.

A third large program will be an R&D program—led by me with Professor Cacuci’s participation—on the development of a small subcritical reactor driven by a small continuous-beam linear electron accelerator based on niobium superconducting magnet technology. Although the Europeans have, for the most part, abandoned their efforts on so-called accelerator-driven subcritical systems (driven by proton accelerators) due to economic considerations—with the exception of their MYRRHA project in Belgium for isotope production, the use of small niobium-based electron accelerators—rather than proton accelerators—has a favorable impact on the economics, and such systems are being aggressively pursued in India. There, an entirely new laboratory is being developed from a green site near Calcutta that will be dedicated to the development of, and construction of such an accelerator-driven system. There also is considerable interest in such systems among some of my colleagues in the Physics Department here at the University of Virginia (UVA) who do research on accelerators at DOE’s Jefferson Laboratory (in Tide-Water Virginia) which is operated by UVA. Thus an international research program involving USC, DOE’s Jefferson Lab and the Atomic Energy Commission of India will be initiated, with the US DOE Division of Basic Energy Sciences and the US nuclear industry targeted for joint support for the US (i.e., the USC) part of the international program. (Jefferson Laboratory’s participation will be supported by funds it already receives from DOE.) The research program will explore three areas of application of these systems: (1) medical isotope production, (2) process heat production, and (3) electrical power production—and combinations of these. It also will investigate various neutron energy spectra (thermal, epithermal, and fast), various core lattice configurations, and various fuels, including thorium—in which India has a very large interest, due to its large thorium resources.

These three large programs—the first led jointly, the second led by Professor Cacuci, and the third led by Professor Dorning—will require experience and expertise in several important areas. Professor Cacuci has experience and expertise in some, I have experience and expertise in others, and we both have experience and expertise in yet others. [Together our experience and expertise pretty well covers the main areas.] Professor Cacuci’s knowledge of: predictive science; verification, validation and uncertainty quantification and reduction of models; large exascale computations; and non-electricity uses of nuclear energy and synergies with other energy forms make him very well qualified to lead the second program mentioned above. And my past research on: the nonlinear analysis of nuclear reactor stability; large-scale numerical bifurcation calculations and dynamical simulations of thermal convection (relevant to molten-core calculations in severe reactor-accident analysis, and to liquid spallation sources in accelerator-driven systems); computational methods development for reactor analysis, neutron transport and fluid dynamics; and the theoretical analysis of nonlinear wave propagation, leave me in a position to lead the third program. There also are many areas in which we both have experience and expertise—such as nuclear reactor analysis, nuclear reactor kinetics, large-scale nuclear computations, and the nonlinear analysis of model engineering systems—which will be essential to the success of these large research programs.

In addition to very large research programs focused on the development of transformational nuclear technologies, such as the three briefly described above, Professor Cacuci and I will also pursue research projects of a more conventional, but still fairly large size and scope in various areas. Some of the areas in which I shall develop such projects with Professor Cacuci very likely participating as a co-principal investigator, are the following: the development and application of advanced computational methods for the analysis of convection problems in fluid dynamics based on numerical bifurcation methods and nonlinear dynamical systems analysis (funded in the past by ONR, NASA, DOE, EPRI, and Argonne National Laboratory); the modeling and nonlinear stability analysis of boiling water reactors (funded in the past by the NRC, DOE, EPRI, and Brookhaven National Laboratory); the development and application of advanced computational methods for neutron transport, neutron diffusion, and neutron kinetics, and related homogenization procedures (funded in the past by the NRC, DOE, EPRI, Brookhaven National Laboratory, and the Schlumberger Corporation); and fundamental research on the kinetic theory of plasma physics and neutron transport theory (funded in the past by NASA, NASA Laboratories, and the NSF). All these projects except the research on fundamental plasma physics, will be very relevant to the three very large research programs mentioned at the beginning of this section, since they will provide advanced computational techniques (i.e. “tools”) and improved understanding of basic phenomena, both of which will be important in carrying out those very large research programs and other very large programs to follow.

Professor Cacuci also will develop some research projects of this type, with me very likely participating as a co-principal investigator. These are likely to be based on his expertise in

several areas, including: sensitivity and uncertainty analysis for large-scale engineering and applied science systems; data uncertainty assimilation for such large-scale systems; and applications of both of these to nuclear reactor systems, particularly reactor dynamics and safety. Of course the results of these projects also will be very relevant to the three large programs mentioned at the beginning of this section and other very large programs we shall develop.

I shall close this section with a few very preliminary thoughts based on a very short, but very stimulating visit with Professor Kenneth Reifsnider, Educational Foundation University Professor and Director of the Solid Oxide Fuel Cell Program at USC. During a short one-day visit with professor Cacuci at USC, I had the opportunity to meet Professor Reifsnider and go on a short half-hour tour of his laboratories before the three of us had lunch together. During that short tour Professor Reifsnider and I exchanged some ideas when he explained the results of some of the experiments his group had underway. These exchanges included some thoughts I had on the possible exploitation of the natural semi-conductor properties—that arise in some of the solid oxide fuel cells they are developing—to create internal switches in these fuel cells. Another was the possible use of new materials they were developing as “quiet” brushes for motors and generators on US submarines—a research area in which the US Navy (and ONR) currently has enormous interest. A very brief discussion with him on one of their other experiments led me to recognize the potential connection of the relevant equations with those of nonlinear plasma kinetic theory, and the possibility of modifying the rather successful analysis, my students and I did in the past in that area, so that it might be used to explain and analyze their experimental observations. Overall, I found this brief half-hour tour and the subsequent discussions at lunch most exciting. Professor Reifsnider’s keen interest in the mathematical analysis of his experiments, and his receptive attitude to discussions with someone whom he was meeting for the first time, were most appealing to me. Thus I hope that he and I—and he and Professor Cacuci and I—will be able to develop some joint ideas that will lead to exciting research projects supported by ample extra-mural funding.

Building on General Atomic’s Commitment to, and Activities in Nuclear Energy R&D The fact that the corporation that has endowed this chair, General Atomics, is itself an organization that is very much engaged in nuclear engineering research, development and design presents special opportunities—for the GA chair holder, for GA, and for USC. I envision the development of joint large R&D programs involving a university/industry effort—Professor Cacuci, myself, and some assistant professors, post docs, grad students, and possibly even some extraordinary undergrads, as the USC component, with one or more R&D and design groups at GA, as the industry component, all working together on large advanced reactor projects funded by the DOE Innovative Reactor Program, other government programs, and possibly nuclear industry consortia—with the USC and GA contributions playing complementary roles.

Clearly, General Atomics is already very much “on the move” in the innovative reactor arena with its Energy Multiplier Module (EM2), a 240 MW helium-cooled fast reactor that is being designed to convert fertile material to fissile material and burn it over a planned single-core life of thirty years. This advanced system with its gas turbine power conversion unit and its residual heat removal system shows substantial promise as an innovative accident-resistant modular reactor concept. But, of course, the concept pushes conventional design boundaries—a thirty-year core life without refueling, silicone carbide cladding, etc. So, there is much research to be done in support of its development and design. Severe accident analysis (a complicated natural thermal convection cooling problem of molten “corium”—molten reactor core components—in a pool below an argon-helium gas mixture that, in the absence of external power, also will undergo natural thermal convection to remove the heat from the corium pool), fuel burn-up analysis (the conversion of the fertile material to fissile material and its optimum burn-up over the thirty-year core life), verification, validation and qualification (for licensing purposes), sensitivity and uncertainty studies of the economic analysis (for overall justification of the concept), and the reactivity effects of possible water ingress into a below-ground-level fast reactor system even when it is shut down, are just some of the possible studies that will have to be done in the near future during the course of the EM2 R&D program at GA. And Professor Cacuci and I and the joint team we build at USC could certainly contribute to these efforts.

Building on the Existing USC Educational Infrastructure At the beginning of the introduction to this Research Plan, I noted that Ph. D. and M.S. degree programs in NE already exist within the ME Department at USC; and many courses in areas, that are essential to nuclear science and energy education, also already exist in ME and other engineering departments and in the Physics, Mathematics and Chemistry Departments. However, it will still be necessary to develop some advanced courses in support of a large research program in NS&E if that program is to achieve national and international prominence. And it will be necessary for the CoEE chair-holders to develop those advanced courses. Therefore, new courses will be developed by Professor Cacuci initially in the following two areas: (1) Predictive Science with Applications to Nuclear Energy and other Energy Sources, and (2) Verification, Validation, and Uncertainty Quantification and Reduction in Energy Production Systems; and new courses will be developed by Professor Dorning initially in two areas: (1) Bifurcation, Stability and Chaos in Nonlinear Dynamical Systems (with Applications to Engineering and Applied Science), and (2) Plasma Physics (with Applications to Magnetic and Inertial Confinement Fusion, Space Physics, and Plasma Processing). The material covered in these courses will be essential preparation for graduate students to make significant contributions to the research programs and projects summarized above. Since fundamentals will be stressed in these courses, they are likely to attract graduate students from areas outside NE, such as all other engineering disciplines, physics, mathematics, chemistry, biology, and astronomy. [The two courses on nonlinear dynamical systems that I have taught at the University of Virginia on several occasions (An Introduction to Bifurcation, Stability and Chaos

in Nonlinear Dynamical Systems; and Nonlinear Analysis and Deterministic Chaos) have attracted graduate students from all these disciplines, as well as from meteorology, economics, environmental sciences, business, commerce, psychology, and several departments in the School of Medicine—and also faculty members from most of these same departments.] Additional, more standard, advanced courses in NE will be developed by the new assistant professors who will be recruited to build up the two highly-coordinated and integrated teams assembled around the two chairs. These courses will be developed with input and guidance from the two chair-holders who also will play the important role of mentors for these young faculty members to foster their development as research engineers, scientists, teachers, and academicians in general. [This will not be a new role for me. Over the years I have mentored many graduate students and young faculty members who now hold important positions at national laboratories, in the nuclear industry (and other industries), and at research universities. The latter includes former students who hold positions as Dean, Endowed Chair Professor, Department Head, and Full Professor at universities such as the U of Illinois, the U of Michigan, Georgia Tech, North Carolina State U, and City University of New York. Along the way, I have guided these and many other students to the Ph. D. in Nuclear Science and Engineering, in Engineering Physics, in Physics, and in Applied Mathematics—first at the University of Illinois for fourteen years, and then at the University of Virginia as the Whitney Stone Professor of Nuclear Science and Engineering, Professor of Engineering Physics, and Professor of Applied Mathematics.] I believe that building, as described above, on the existing NE educational infrastructure—established by Professor Travis Knight and others, under the guidance of ME Department Head, Professor Jamil Khan—will create a high-level curriculum of graduate instruction that will not only be appropriate for the support of the aggressive research plan that I envision, but also will be unique in the nation. This high-level graduate program also will serve the growing nuclear energy community in central South Carolina very well—providing daytime and/or evening classes (and graduate degree programs) within an easy commute for staff members at the two new nuclear power plants that will soon be rising from foundations a mere twenty miles, or so, from Columbia!

Building on Relationships with Colleagues and Leaders in Energy Research and Nuclear Energy Research—A Joint Advisory Board In order to ensure that continuing close advice will be available to the GA chair-holder (and to the USC General Atomics Center for the Development of Transformational Nuclear Technologies) from senior members of the nuclear science and engineering community, an external advisory board will be established. Further, since Professor Cacuci and I anticipate that the activities associated with the SCANA chair and those associated with the GA chair will be carefully coordinated—usually in the form of various types of collaborations—within the CoEE in Nuclear Science and Energy, a single advisory board for the two chairs will be established. It

will be comprised of members from various segments of the national and international nuclear science and energy communities—including senior members from industry, government, industrial research laboratories, government research laboratories, and academia. There will be many advantages of having a common advisory board for the two chairs including the resulting strengthening of the coordination of the activities of the two chairs. The joint board which, of course, also will be the single board of the CoEE in NS&E will be made up of approximately twelve members. A tentative partial list of some possible members follows. [The initials (EOL) and/or (NAE) indicate, respectively, that the person is a past recipient of the US DOE’s Ernest O. Lawrence Memorial Award and/or is a member of the US National Academy of Engineering.] The person’s principal areas of expertise are included in brackets […] at the end of the listing.

1. Dr. George E. Apostolakis (NAE): Member, US Nuclear Regulatory Commission, Rockville, MD. Also: KEPCO Professor of Nuclear Science and Engineering and Professor of Engineering Systems, Massachusetts Institute of Technology, Cambridge, MA. [Probabilistic Risk Analysis, Nuclear Reactor Risk and Reliability Analysis, Nuclear Reactor Safety]

2. Professor Michael L. Corradini (NAE): Wisconsin Distinguished Professor of Nuclear Engineering and Engineering Physics, and Chair, Department of Engineering Physics, University of Wisconsin, Madison, WI. Also: Currently President of the American Nuclear Society. [Nuclear Reactor Thermal Hydraulics, Nuclear Reactor Safety]

3. Professor James J. Duderstadt (EOL) (NAE): University Professor of Science and Engineering, University of Michigan, Ann Arbor, MI. Also: Director of the Millennium Project at U of M, President Emeritus of U of M, and past Dean of Engineering at U of M. [Energy Policy (Advisor to the White House and the Department of Energy during recent administrations), Engineering Educational Policy, Neutron and Radiation Transport Theory, Nuclear Reactor Theory]

4. Professor William E. Kastenberg (NAE): Daniel M. Tellep Distinguished Professor in Engineering, Emeritus, University of California, Berkeley, CA. Also: Past Department Chair, Nuclear Engineering, UC Berkeley. [Risk Analysis (Advisor to the State of California during recent administrations), Nuclear Reactor Safety, Risk Analysis for Large-Scale Engineering and Environmental Systems]

5. Professor Glenn F. Knoll (NAE): Professor Emeritus of Nuclear Engineering and Radiological Sciences, University of Michigan, Ann Arbor, MI. Also: Past Chair, Department of NE & RS, U of M. [Experimental Nuclear Physics, Nuclear Cross Section Data, Nuclear Reactor Physics]

6. Professor Richard T. Lahey, Jr. (EOL) (NAE): The Edward E. Hood Professor Emeritus of Engineering, Rensselaer Polytechnic Institute, Troy, N.Y. Also: Past Dean of Engineering, RPI, and Past Chair, Department of Energy and Environmental Engineering, RPI. [Nuclear Reactor

Thermal Hydraulics, Two-Phase and Multi-Phase Flow, Experimental Heat Transfer and Fluid Flow]

7. Dr. John W. Landis* (NAE): Retired Executive Vice President, Stone and Webster Engineering Corporation, New York and Boston, and President of several S&W subsidiary corporations including S&W International. (Coincidently he also is a Past President of General Atomics—then Gulf General Atomics, a subsidiary of the Gulf Oil Company, of which he was also a Vice President at the time.) He is also a Past President of the American Nuclear Society. [National and International Nuclear Energy Policy, National and International Standards for the Nuclear Industry, “Macro” Engineering (Large-Scale Engineering Projects, e.g. Petrochemical Plant Projects, Nuclear Power Plant Construction, etc.), Standards for Radiation Exposure]

_________________________________________________________________________________________

*John Landis is one of the most senior statesmen of the national and international nuclear enterprise. He has served on numerous high-level US Government advisory committees, and he has been a leader of the US and international nuclear industries for half a century, and an advocate of, and leader in the development of industry-initiated nuclear standards. Past health problems prevent him from travelling, and he will therefore have to participate in advisory board meetings via teleconference. Although retired, he is extremely active and very much involved in the nuclear energy endeavor. It was John Landis who, on behalf of the family of the late Whitney Stone and the Stone and Webster Corporation, set up the Whitney Stone Chair in Nuclear Science and Engineering at the University of Virginia which I have held since it was established. In that position I have had contact with him, and I have benefited enormously from his technical knowledge and his broad perspective on nuclear energy, and from his wisdom on energy-related issues in general.

_________________________________________________________________________________________

8. Dr. Warren (Pete) F. Miller (NAE): Recently-Resigned (for Personal Reasons) Assistant Secretary of Energy for Nuclear Energy, US Department of Energy. Also: Former Associate Director of Los Alamos National Laboratory, and Professor of Nuclear Engineering at Texas A&M University. [Nuclear Energy Research Policy and Administration, Neutron and Radiation Transport Theory]

9. Professor Donald R. Olander (NAE): James Fife Professor of Engineering, Emeritus, Department of Nuclear Engineering, University of California, Berkeley, CA. [Material Science and Engineering, Nuclear Materials, Nuclear Reactor Fuels]

10. Professor Neil E. Todreas (NAE): Korea Electric Power Company Professor of Nuclear Engineering and Professor of Mechanical Engineering Emeritus, Massachusetts Institute of Technology, Cambridge, MA. Also: Past Department Chair, Department of Nuclear Engineering, MIT. [Advanced Nuclear Reactor Concepts, Nuclear Reactor Thermal Hydraulics, Nuclear Reactor Design]

Either Professor Cacuci or Professor Dorning, or both of us have had past contact (e.g., collaborative research, joint project, service on a committee, etc.) with all the persons on this

incomplete list of possible members of the joint advisory board. We plan also to include members from nuclear utilities and other nuclear industry corporations (preferably from the Carolinas), and possibly a member of the SC Congressional Delegation (to the US Senate and US House of Representatives) who has special interests in energy-related government policy issues, and possibly a member of the SC State Legislature who has such interests.

Closing Comment Naturally, in the course of drafting this Research Plan, I have reflected on the overall situation at the University of South Carolina, and on the challenges and opportunities at USC for the holder of the GA chair. As a result of these reflections, I recognize the significant challenges involved in developing a large, high-quality research program in nuclear science and energy from a program that is currently quite modest. However, I also recognize that the environment, that will make developing such a rewarding program possible, exists at USC—because I see a state committed to energy development and especially nuclear energy development; I see a senior university administration committed to significant expansion of scientific and engineering research, including energy research and nuclear energy research; I see an energetic and enthusiastic Dean of Engineering who is supportive of bold new initiatives; and I see a natural connection and synergy with General Atomics. I find all this very exciting! And I look forward most enthusiastically to the possibility of playing a major leadership role in the development of a large, high-quality nuclear science and energy research program at USC.

JOHN J. DORNING

Publications

J. Dorning, "Thermal Neutron Decay Constants for a Simple Scattering Kernel," Trans. Am. Nucl. Soc., 9, 176 (1966). J. Dorning, "Pulsed-Neutron Experiments in Light Water," Trans. Am. Nucl. Soc., 10

, 295 (1967).

J. Dorning, "Neutron Thermalization in Finite Media," Trans. Am. Nucl. Soc., 10

, 626 (1967).

J. Dorning, "Thermal Neutron Decay in Small Systems," Nucl. Sci. Eng., 33

, 65 (1968).

J. Dorning, "Time-Dependent Neutron Thermalization in Finite Light Water Systems," Nucl. Sci. Eng., 33

, 81 (l968).

J. Dorning, "The Effect of Scattering Anisotropy on the Calculation of Pulsed-Neutron Decay Constants," in Neutron Thermalization and Reactor Spectra

(Proc. IAEA Symp.) Vol. I, pp. 571-589, IAEA, Vienna, 1968.

J. Dorning, "Application of the SN-Method to Pulsed-Neutron Experiment Calculations," in Review of the Discrete Ordinates SN-Methods for Radiation Transport Calculations

, (eds., D. K. Trubey and B. E. Moskewitz), pp. 213-219, ORNL-RSIC-19, Radiation Information Center, Oak Ridge National Laboratory, 1968.

J. Dorning, "Size-Dependent Extrapolation Distances for Pulsed Small Systems," Trans. Am. Nucl. Soc., 11

, 295 (1968).

J. Dorning and J. K. Thurber, "Unstable Pulsed-Neutron Decay States in Non-crystalline Moderators," Trans. Am. Nucl. Soc., 11

, 290 (1968).

J. Dorning and B. Nicolaenko, "Time-Dependence of Finite Subcritical Fast Multiplying Assemblies," Trans. Am. Nucl. Soc., 11

, 577 (l968).

J. Dorning and J. K. Thurber, "An Explanation of the Apparent Violation of the Maximum Absorption Theorem," Trans. Am. Nucl. Soc., 11

, 579 (1968).

J. Dorning and J. K. Thurber, "Purely Discrete Neutron Wave Phenomena in the Continuum Region," Trans. Am. Nucl. Soc., 11, 580 (1968). J. J. Dorning and J. K. Thurber, "Some Comments on Observable Modes and Pseudo-Modes Imbedded in the Continuous Spectrum of the Linear Boltzmann Operator for the Wave and Poisoning Problems," in Neutron Transport Theory Conference

, pp. 1-35, ORO-3858-1, U.S. Atomic Energy Commission, Washington, 1969.

2

J. Dorning, B. Nicolaenko and J. K. Thurber, "Some Comments on Pseudo Mode Solutions of the Initial-Value Problem Obtained by Analytic Continuation: Thermal and Fast Systems," in Neutron Transport Theory Conference

, pp. 36-75, ORO-3858-1, U.S. Atomic Energy Commission, Washington, 1969.

J. Dorning, B. Nicolaenko and J. K. Thurber, "Some Mathematical Considerations on Cauchy Integrals Related to Pulsed Neutron Dispersion Relations," in Neutron Transport Theory Conference

, pp. 76-121, ORO-3858-1, U.S. Atomic Energy Commission, Washington, 1969.

J. Dorning, B. Nicolaenko and J. K. Thurber, "Unstable Decay States of Far Subcritical Fast Assemblies," Trans. Am. Nucl. Soc., 12

, 251 (1969).

J. Dorning, B. Nicolaenko and J. K. Thurber, "The Theory of Pulsed Decay in Subcritical Fast Systems with General Cross Sections," Trans. Am. Nucl. Soc., 12

, 656 (1969).

J. Dorning, B. Nicolaenko and J. K. Thurber, "The Time-Behavior of Pseudo-Modes in Subcritical Fast Systems Described by Exact Elastic Slowing-Down," Trans. Am. Nucl. Soc., 12

, 657 (1969).

J. Dorning, B. Nicolaenko and J. K. Thurber, "An Integral Identity Due to Ramanujam Which Occurs in Neutron Transport Theory," J. Math. and Mech., 19

, No. 5, 429 (1969).

J. Dorning and A. Ginsberg "Pulse Neutron Decay in Heavy Water Spheres," Nucl. Sci. Eng., 41

, 138 (1970).

J. Dorning, "Extrapolation Distances and Diffusion Parameters via Pulsed Neutron Analysis," Nucl. Sci. Eng., 41

, 22 (1970).

J. Dorning, "Transport Theory for Kinetic Models via Analytic Continuation," Trans. Am. Nucl. Soc., 13

, 200 (1970).

B. Nicolaenko, J. K. Thurber and J. Dorning, "Rarefied Gas Models with Velocity Dependent Collision Frequencies," J. Quant. Spectrosc. Radiat. Transfer, 11

, 1007 (1971).

F. T. Adler and J. Dorning, "The Energy Distribution of Ions Slowing-Down in a Plasma," Trans. Am. Nucl. Soc., 14

, 446 (1971).

J. Dorning, "Fast and Thermal Reactor Prompt Kinetics via Models," in Dynamics of Nuclear Systems

, (ed., D. L. Hetrick), pp. 429-452, University of Arizona Press, Tucson, Arizona, 1972.

J. Dorning, "Determination of Reactivity by the Pulsed Source Method When Die-Away is Not Purely Exponential," Trans. Am. Nucl. Soc., 15, 446 (1972).

3

T. J. Burns and J. J. Dorning, "A Partial Current Balance Method for Space-, and Energy-Dependent Reactor Calculations," in Mathematical Models and Computational Techniques for Analysis of Nuclear Systems

, Vol. II, pp. VII.162-VII.178, CONF-730414, American Nuclear Society--U.S. Atomic Energy Commission, Washington, 1973.

J. Dorning and T. Kraft, "Finite Medium Dispersion Formalisms for the Calculation of Transient Phenomena in Fast Multiplying Assemblies," in Mathematical Models and Computational Techniques for Analysis of Nuclear Systems

, Vol. II, pp. IX.15-IX.30, CONF-730414, American Nuclear Society--U.S. Atomic Energy Commission, Washington, 1973.

J. Dorning and Y. Orechwa, "The Initial-Value Problem for the Hard-Sphere Gas Boltzmann Operator in L1 Space," in Rarefied Gas Dynamics

, pp. 107-115, Academic Press, New York, 1974.

J. Dorning, "Existence and Uniqueness of L1 Solutions to the Boltzmann Equation for Hard-Sphere Intermolecular Potentials," in Rarefied Gas Dynamics

, pp. A10.1-A.10.11, DFVLR Press, Linder Hohe, Germany, 1974.

Y. Orechwa and J. Dorning, "Properties of Neutron Migration Operators for Fast Multiplying Assemblies," Trans. Am. Nucl. Soc., 19

, 167 (1974).

T. J. Burns and J. J. Dorning, "Approximate Generation of Coupling Parameters for Multidimensional Neutron Diffusion Calculations," Trans. Am. Nucl. Soc., 19

174 (1974).

F. Gunnison and J. Dorning, "An Area Radio Method for Reactivity Determination in Subcritical Fast Reactors," Trans. Am. Nucl. Soc., 19

, 375 (1974).

R. H. Johnson, B. W. Wehring and J. J. Dorning, "NE-213 Neutron Spectrometry System for Measurements to 15 MeV," in Proc. Conf. on Nuclear Cross Sections and Technology

, pp. 62-66, National Bureau of Standards, Washington, 1975.

R. H. Johnson, J. J. Dorning and B. W. Wehring, "Integral Tests of Cross Sections Using Neutron Leakage Spectra from Spheres of Iron, Niobium, Beryllium, and Polyethylene," in Proc. Conf. on Nuclear Cross Sections and Technology

, pp. 169-173, National Bureau of Standards, Washington, 1975.

T. J. Burns and J. J. Dorning, "Multidimensional Applications of an Integral Balance Technique for Neutron Diffusion Computations," in Computational Methods in Nuclear Engineering, Vol. II, pp. V.57-V.68, CONF-750413, American Nuclear Society--U.S. Energy Research and Development Agency, Washington, 1975.

4

T. J. Burns and J. Dorning, "The Partial Current Balance Method: A New Computational Method for the Solution of Multidimensional Neutron Diffusion Problems," in Proc. of the Joint NEACRP/CSNI Specialists' Meeting on New Developments in Three-Dimensional Neutron Kinetics and Review of Kinetics Benchmark Calculations

, pp. 109-130, Laboratorium fur Reaktorregelung and Anlagensicherung, Garching (Munich), Germany, 1975.

J. Dorning, "Spectral Theory, Dispersion Analysis, and Computational Methods for the Initial Value Fast Neutron Transport Problem," in Fourth Neutron Theory Conference

, pp. 150-175, U.S. Energy Research and Development Agency, Washington, 1975.

R. H. Johnson, B. W. Wehring, J. J. Dorning and D. T. Ingersoll, "Californium-252 Fast Neutron Spectrum Measured to 15 MeV," Trans. Am. Nucl. Soc., 22

, 727 (1975).

R. H. Johnson, B. W. Wehring and J. J. Dorning, "Smoothing in the FERDOR Method of Neutron Spectrum Unfolding," Trans. Am. Nucl. Soc., 22

, 798 (1975).

R. H. Johnson, J. J. Dorning and B. W. Wehring, "Integral Tests of Neutron Cross Sections for Iron Above 1.0 MeV," Trans. Am. Nucl. Soc., 22

, 799 (1975).

T. Kraft and J. Dorning, "Generalized Dispersion Theory for Bounded Fast Assemblies," Trans. Am. Nucl. Soc., 22

, 709 (1975).

W. B. Arthur and J. J. Dorning, "A Dynamic Model of Nuclear Energy Market Share Employing Full-Information Maximum Likelihood Parameter Estimation and Extended Kalman Filtering," in Proc. Seventh Annual Pittsburgh Conference on Modelling and Simulation

, pp. 173-177, IEEE, 1976.

R. Lawrence and J. Dorning, "A Smoothing and Extrapolation Method for Point Kinetics," Trans. Am. Nucl. Soc., 24

, 199 (1976).

J. Powell, J. Fillo, B. Twining and J. Dorning (Editors), Proceedings of the Magnetic Fusion Energy Blanket and Shield Workshop--A Technology Assessment

, Two Volumes, ERDA-76-ll7-1, U.S. Energy Research and Development Agency, Washington, 1976.

V. C. Boffi, J. Dorning, V. G. Molinari and G. Spiga, "Integral Boltzmann Equation for Test Particles in a Conservative Field: I) Theory and Solutions to Some Stationary and Time-Dependent Cases," in AIAA Progress in Rarefied Gas Dynamics

, pp. 715-732, Academic Press, New York, 1976.

J. Dorning, C. Pescatore and G. Spiga, "A Continuous Slowing-Down Theory of Test Particles," in AIAA Progress in Rarefied Gas Dynamics, pp. 745-762, Academic Press, New York, 1976.

5

J. Dorning, C. Pescatore and G. Spiga, "The Distribution Function Continuity Method: A Local Green's Function Technique for the Numerical Solution of the Boltzmann Equation," in AIAA Progress in Rarefied Gas Dynamics

, pp. 763-780, Academic Press, New York, 1976.

R. H. Johnson, D. T. Ingersoll, B. W. Wehring and J. J. Dorning, "NE-213 Neutron Spectroscopy System for Measurements from 1.0 to 20 MeV," Nucl. Instr. Methods, 145

, 337 (1977).

D. T. Ingersoll, B. W. Wehring and J. J. Dorning, "Integral Tests of Niobium Cross Sections Through Simultaneous Measurements of Neutron and Gamma-Ray Leakage Spectra," in Nuclear Reactor Shielding

(Proc. of the Fifth International Conf. on Reactor Shielding), pp. 841-848, Science Press, 1977.

Chiang, R-T., and J. Dorning, "Diffusion Equations as Asymptotic Approximations to the Neutron Transport Equation," Trans. Am. Nucl. Soc., 27

, 952 (1977).

M. Kantrowitz and J. Dorning, "An Energy-Dependent Formalism for Neutron Noise Analysis," Trans. Am. Nucl. Soc., 27

, 942 (1977).

W. C. Horak and J. J. Dorning, "A Local Green's Function Method for the Numerical Solution of Heat Conduction and Fluid Flow Problems," Nucl. Sci. Eng., 64

, 192 (1977).

R. D. Lawrence and J. J. Dorning, "Smoothing and Extrapolation Techniques for Reactor Kinetics," Nucl. Sci. Eng., 64

, 492 (1977).

J. Dorning and G. Spiga, "The Relationship Between Point Kinetics Calculations and Space-, and Energy-Dependent Reactor Kinetics Calculations," in Advances in Reactor Physics

(Ed., E. G. Silver), pp. 107-120, CONF-180401, ORNL, Oak Ridge, Tenn., 1978.

W. B. Arthur and J. J. Dorning, "A New Model Development Methodology Applied to the Nuclear-Energy Market Share," Trans. Am. Nucl. Soc., 28

, 12 (1978).

R. D. Lawrence and J. J. Dorning, "A Nodal Green's Function Method for Multidimensional Neutron Diffusion Calculations," Trans. Am. Nucl. Soc., 28

, 248 (1978).

P. K. Mast, J. H. Scott and J. J. Dorning, "A Simple Computational Model for the Prediction of Fuel Pin Failure in the Transient-Over-Power Accident," Trans. Am. Nucl. Soc., 28

, 474 (1978).

J. Dorning and G. Spiga, "Point Kinetics as an Asymptotic Representation of Space-, Energy-, and Angle-Dependent Reactor Kinetics," Trans. Am. Nucl. Soc., 28

, 761 (1978).

W. C. Horak and J. J. Dorning, "A Local Green's Function Method for Initial Value Problems in Heat Conduction and Fluid Flow," Trans. Am. Nucl. Soc., 30, 215 (1978).

6

R. D. Lawrence and J. J. Dorning, "Application of an Integral Coarse-Mesh Diffusion Method to Transients with Feedback," Trans. Am. Nucl. Soc., 30

, 244 (1978).

J. Dorning and G. Spiga, "The Initial-Value Problem in L1 Space for Rarefied Gases with Inverse-Power-Law Intermolecular Potentials," in Rarefied Gas Dynamics

(Papers Selected from the Eleventh International Symp. on Rarefied Gas Dynamics), 1, pp. 29-42, CEA, Paris, 1979.

J. Dorning, C. Pescatore and G. Spiga, "Numerical Solution to the Boltzmann Equation for Rarefied Gas via a Local Green's Function Technique," in Rarefied Gas Dynamics

(Papers Selected from the Eleventh International Symp. on Rarefied Gas Dynamics), 1, pp. 165-176, CEA, Paris, 1979.

J. Dorning, "Modern Coarse-Mesh Methods--A Development of the '70's." in Comp. Meth. in Nucl. Engr

., Vol. I, pp, 3.1-3.32, NTIS, Washington, 1979.

R-T. Chiang and J. Dorning, "Diffusion Theory Calculations as Asymptotic Approximations to Energy-Dependent Neutron Transport Calculations," in Comp. Meth. in Nucl. Engr

., Vol. I, pp. 3.147-3.164, NTIS Washington, 1979.

W. C. Horak and J. J. Dorning, "A Local Green's Tensor Technique for the Numerical Solution of Incompressible Fluid Flow Problems," in Comp. Meth. in Nucl. Engr

., Vol. III, pp. 10.37-10.55, NTIS, Washington, 1979.

F. Gunnison and J. Dorning, "Pulsed Neutron Die-Away in Fast Multiplying Assemblies," Trans. Am. Nucl. Soc., 32

, 311 (1979).

N. E. Hertel, B. W. Wehring and J. J. Dorning, "Integral Tests of ENDF/B-IV High-Energy Neutron Cross-Section Data for Tungsten," Trans. Am. Nucl. Soc., 32

, 621 (1979).

J. Dorning, J. Tsang, J. R. Powell, and M. Kantrowitz, "The Effects of Neutral- Beam-Injection Tubes on Tokamak Reactor Blankets," Trans. Am. Nucl. Soc., 32

, 662 (1979).

J. Dorning and F. Gunnison, "On the Feasibility of an Accelerator-Driven Rejuve-nator for Light-Water-Reactor Fuel," Trans. Am. Nucl. Soc., 32

, 799 (1979).

R-T. Chiang and J. J. Dorning, "The Relationship Among the Various Anisotropic Diffusion Coefficients for Periodic Lattices," Trans. Am. Nucl. Soc., 33

, 779 (1979).

M. Kantrowitz and J. Dorning, "A General Formulation of Neutron Noise for Fast Reactor Systems," Trans. Am. Nucl. Soc., 33

, 794 (1979).

F. Gunnison and J. Dorning, "Interpretation of Non-Exponential Pulsed Neutron Die-Away Via Simple Models," Trans. Am. Nucl. Soc., 33, 855 (1979).

7

B. W. Wehring, J. J. Dorning, N. E. Hertel, D. T. Ingersoll and R. H. Johnson, "Benchmark Shielding Problems Obtained from Integral Tests of Neutron Cross Sections," Trans. Am. Nucl. Soc., 33

, 666 (1979).

J. J. Dorning, R. D. Lawrence and A. M. Ougouag, "Application of a New Coarse-Mesh Computational Method to the Determination of Power Distributions in a Heterogeneous-Core Large Fast Reactor," in Proc. International Symp. on Fast Reactor Physics

(held in Aix-en-Provence, France, 24-28 Sept. 1979). Vol. 2, pp. 383-400, IAEA, Vienna, 1979.

N. E. Hertel, R. H. Johnson, J. J. Dorning and B. W. Wehring, "Measurements and Analyses of Neutron Transport Through Iron," in Nuclear Cross Sections for Technology

(Proc. International Conference on Nuclear Cross Sections for Technology) (Eds., J. L. Fowler, C. H. Johnson, C. D. Bowman), NBS Special Publ. 594, pp. 563-576, NBS, U.S. Dept. of Commerce, Washington, 1980.

R. D. Lawrence and J. J. Dorning, "New Coarse-Mesh Diffusion and Transport Theory Methods for the Efficient Numerical Calculation of Multi-Dimensional Reactor Power Distributions," in Proc. OECD NEA-CRP Specialists' Meeting on Calculation of Three-Dimensional Rating Distributions in Operating Reactors

(held in Paris, France, 26-28 Nov. 1979), pp. 383-411, OECD, Paris, 1979.

R. H. Johnson, B. W. Wehring and J. J. Dorning, "Optimized Smoothing in Neutron Spectrum Unfolding by the FERDOR Method," Nucl. Sci. Eng., 73

, 93 (1980).

R-T. Chiang and J. J. Dorning, "A Spatially Asymptotic Solution to the Energy-Dependent ω-Mode Transport Equation," Trans. Am. Nucl. Soc., 34

, 280 (1980).

J. Dorning, "Point Kinetics with ω-Mode Shape Functions via Multiple-Time-Scale Asymptotics," Trans. Am. Nucl. Soc., 34

, 281 (1980).

R-T. Chiang and J. J. Dorning, "Effective Diffusion Tensors for Systems with Two- and Three-Dimensional Periodic Lattices," Trans. Am. Nucl. Soc., 34

, 829 (1980).

R. D. Lawrence and J. J. Dorning, "A Nodal Green's Function Method for Multi-dimensional Neutron Diffusion Calculations," Nucl. Sci. Eng., 76

, 218-231 (1980).

R. H. Cohen, I. B. Bernstein, J. J. Dorning and G. Rowlands, "Particle and Energy Exchange Between Untrapped and Electrostatically Confined Populations in Magnetic Mirrors," Nucl. Fusion, 20

, 1421 (1980).

J. Dorning and R-T. Chiang, "A Simultaneous Development of Point Kinetics and Lattice Homogenization Theory," in 1980 Advances in Reactor Physics and Shielding, pp. 309-318, Am. Nucl. Soc., LaGrange Park, IL, 1980.

8

R-T. Chiang and J. Dorning, "A Homogenization Theory for Lattices with Burnup and Non-Uniform Loadings," in 1980 Advances in Reactor Physics and Shielding

, pp, 319-329, Am. Nucl. Soc., LaGrange Park, IL, 1980.

A. M. Ougouag and J. J. Dorning, "A Hybrid Nodal Green's Function Method for Multigroup Multidimensional Neutron Diffusion Calculations," in 1980 Advances in Reactor Physics and Shielding

, pp. 228-239, Am. Nucl. Soc., LaGrange Park, IL, 1980.

R. D. Lawrence and J. J. Dorning, "A Nodal Integral Transport Theory Method for Multidimensional Reactor Physics and Shielding Calculations," in 1980 Advances in Reactor Physics and Shielding

, pp. 240-251, Am. Nucl. Soc., LaGrange Park, IL, 1980.

J. Dorning, "A Review of Local Green's Function Coarse-Mesh and Nodal Methods for the Numerical Solution of Fluid Flow Problems," in Advances in Math. Methods for the Solution of Nuclear Engineering Problems

, Vol. 1, pp. 437-460, Fachinformationszentrum Energie, Physik, Mathematik GmbH, Karlsruhe, West Germany, 1981.

O. M. B. Dieter and J. J. Dorning, "A Heterogeneous-Element Coarse-Mesh Method for the Numerical Solution of the Multigroup Neutron Diffusion Equations," in Advances in Math. Methods for the Solution of Nuclear Engineering Problems

, Vol. 2, pp. 89-101, Fachinformationszentrum Energie, Physik, Mathematik GmbH, Karlsruhe, West Germany, 1981.

W. C. Horak and J. J. Dorning, "A Coarse-Mesh Method for Heat Flow Analysis Based Upon the Use of Locally-Defined Green's Functions," in Numerical Methods in Thermal Problems

, 2 (Eds., R. W. Lewis, K. Morgan and B. A. Schrefler) (Proc. Second International Conf., Venice, 7-10 July 1981), pp. 515-524, Pineridge Press, Swansea, U.K., 1981.

W. C. Horak and J. J. Dorning, "A Nodal Green's Tensor Method for the Efficient Numerical Solution of Laminar Flow Problems," in Numerical Methods in Laminar and Turbulent Flow

, 2 (Eds., C. Taylor and B. A. Schrefler) (Proc. Second International Conf., Venice, 13-16 July 1981), pp. 103-112, Pineridge Press, Swansea, U.K., 1981.

K. Kantrowitz and J. Dorning, "A General Theory of Neutron Noise in Fast Reactors and Its Implications for the Interpretation of Experimental Data,"Prog. Nucl. Energy, 9, 411 (1982). J. J. Ullo, J. J. Dorning, H. L. Dodds and R. E. Pevey, "A Comparison of Nodal Transport Methods Based on Exponential and Polynominal Expansions," Trans. Am. Nucl. Soc., 43

, 367 (1982).

Y. Y. Azmy and J. J. Dorning, "A Nodal Integral Method for the Numerical Solu-tion of Incompressible Fluid Flow Problems," Trans. Am. Nucl. Soc., 43

, 387 (1982).

K. P. Beernink and J. J. Dorning, "The Relationship Between Linear Nodal and Linear Characteristic Solutions to the Transport Equation," Trans. Am. Nucl. Soc., 43, 370 (1982).

9

Y. Y. Azmy and J. J. Dorning, "A Nodal Integral Approach to the Numerical Solution of Partial Differential Equations," in Advances in Reactor Computations

, Vol. II, pp. 893-909, Am. Nucl. Soc., LaGrange Park, IL, 1983.

Kurt P. Beernink and J. J. Dorning, "The Relationships Between the Nodal, and Moments Characteristic, Transport Methods and Their Errors," in Advances in Reactor Computations

, Vol. II, pp. 737-756, Am. Nucl. Soc., LaGrange Park, IL, 1983.

Y. Y. Azmy and J. J. Dorning, "Nodal Integral Method Solutions and Singular Points for Driven Cavity Problems," in Num. Methods in Laminar and Turbulent Flow

, 3 (Eds., C. Taylor, J. A. Johnson and W. R. Smith) (Proc. Third Inter-national Conf., Seattle, 8-11 August 1983), pp. 582-594, Pineridge Press, Swansea, U.K., 1983.

Y. Y. Azmy and J. J. Dorning, "Arc-Length Continuation through Limit Points of Nodal Integral Method Solutions to the Navier-Stokes Equations," in Num. Methods for Nonlinear Problems

, (Eds., C. Taylor, E. Hinton, D.R.J. Owen and E. Onate) (Proc. Second International Conf., Barcelona Spain, 9-13 April 1984), pp. 672-687, Pineridge Press, Swansea, U.K., 1984.

A. Badrussaman, Z. S. Xie, J. J. Dorning and J. J. Ullo, "A Discrete Nodal Transport Method for Efficient, Three-Dimensional, Reactor Physics and Shielding Calculations," in Proc. 1984 Topical Mtg. on Reactor Phys. and Shielding

(Chicago, IL, 17-19 September 1984), Vol. I, pp. 170-184 Am. Nucl. Soc., LaGrange Park, IL, 1984.

K. P. Beernink and J. J. Dorning, "Elementary Solutions in Azimuthally Asymmetric Neutral Particle Transport," Trans. Am. Nucl. Soc., 47

, 228 (1984).

Y. Y. Azmy and J. J. Dorning, "Diffusion Synthetic Acceleration of the Multi-Dimensional Discrete Nodal Transport Method," in Advances in Computational Methods for Nuclear Engineering Problems

, Vol. II, pp. 440-451, Am. Nucl. Soc., LaGrange Park, IL, 1985.

J. J. Dorning, "Nodal Transport Methods After Five Years," in Advances in Computational Methods for Nuclear Engineering Programs

, Vol. II, pp. 412-429, Am. Nucl. Soc., LaGrange Park, IL, 1985.

Y. Y. Azmy and J. J. Dorning, "Accurate Solution of Natural Thermal Convection Problems by the Nodal Integral Method," Trans. Am. Nucl. Soc., 49

, 227 (1985).

Rizwan-uddin and J. J. Dorning, "Nonlinear Stability Analysis of Two Phase Flow in Heated Channels," Trans. Am. Nucl. Soc, 49

, 229 (1985).

J. Dorning, "Recent Developments in Multidimensional Reactor Physics Compu-tational Capabilities for Input to Transient and Safety Calculations," Trans. Am. Nucl. Soc., 49, 410 (1985).

10

W. C. Horak and J. J. Dorning, "A Nodal Coarse-Mesh Method for the Efficient Numerical Solution of Laminar Flow Problems," J. Comp. Phys., 59

, 405-440 (1985).

Y. Y. Azmy and J. J. Dorning, "Nodal Integral Method Solutions of Cavity Thermal Convection Problems," in Num. Methods in Laminar and Turbulent Flow

, 4 (Eds., C. Taylor, M. D. Olson, P. M. Gresho and W. G. Habaski) (Proc. Fourth International Conf., Swansea, U.K., 9-12 July 1985), pp. 753-767, Pineridge Press, Swansea, U.K., 1985.

Rizwan-uddin and J.J. Dorning, "Linear and Nonlinear Stability Analyses of Density Wave Oscillations Using the Drift Flux Model," in ANS Proceedings, 1985 National Heat Transfer Conference

, pp. 48-61, Am. Nucl. Soc., LaGrange Park, IL, 1985.

N. E. Hertel, R. H. Johnson, B. W. Wehring and J. J. Dorning, "Transmission of Fast Neutrons through an Iron Sphere," Fusion Technology, 9, 345-361 (1986). Rizwan-uddin and J. Dorning, "Some Nonlinear Dynamics of Heated Channels," Nucl. Engr. and Design, 93

, 1-14 (1986).

James Paul Holloway and J. J. Dorning, "On the Nonlinear Dynamics of Multi-species Gas Kinetic Equations," in Proc. of the Fifteenth International Symposium on Rarefied Gas Dynamics

(Eds., V. Boffi and C. Cercignani) (held in Grado, Italy, 16-20 June 1986), Vol. I, pp. 85-99, B. C. Teubner Publ., Stuttgart, West Germany, 1986.

Y. Y. Azmy and J. J. Dorning, "Numerical Studies of Bifurcations in the Confined Bénard Problem," in Proc. of the Tenth International Conference on Numerical Methods in Fluid Mechanics

(Eds., F. G. Zhauang and Y. L. Zhu)(held in Beijing, China, 23-27 June 1986), pp. 96-104, Springer-Verlag, Berlin, West Germany, 1986.

Rizwan-uddin and J. J. Dorning, "Stability Analyses of Density Wave Oscillations in Channels with Non-Uniform Heat Fluxes," Trans. Am. Nucl. Soc., 52

, 404 (1986).

Y. Y. Azmy and J. J. Dorning, "Numerical Determination of Bifurcation Points and Catastrophe Phenomena in Thermal Convection Problems," Trans. Am. Nucl. Soc., 52

, 406 (1986).

Y. Y. Azmy and J. J. Dorning, "Bifurcations, Unfoldings and Critical Rayleigh Numbers in the Bénard Problem", in Proc. of the Third International Conference on Numerical Methods for Non-Linear Problems

(Eds., C. Taylor, D. R. J. Owen, E. Hinton and F. R. Damjanic) (held in Dubrovnik, Yugoslavia, 15-18 September 1986), pp. 1222-1237, Pineridge Press, Swansea, UK, 1986.

J. Dorning, "Bifurcation, Nonlinear Dynamics and Chaos in Nuclear Systems," Trans. Am. Nucl. Soc., 53, 235 (1986).

11

J. Dorning, "Course-Mesh and Nodal Methods for the Optimal Numerical Solu-tion of Linear and Nonlinear Partial Differential Equations," in Proc. of the International Conference on Numerical Optimization and Applications

(held in Xi´an, Peoples' Republic of China, 14-17 June 1986), 113, Jiaotong University Press, Xi´an, China, 1986.

Rizwan-uddin and J. J. Dorning, "Numerical Analysis of Two-Phase Flow Oscil-lations: Stable Fixed Points to Stable Limit Cycles, Invariant Tori and a Strange Attractor," in Proc. Intern. Topical Mtg. on Advances in Reactor Physics, Mathematics and Computation

, Vol. 3, pp. 1883-1897, CEA, Paris, France, 1987.

Rizwan-uddin and J. J. Dorning, "Nonlinear Stability Analysis of Density-Wave Oscillations in Nonuniformly Heated Channels," Trans. Am. Nucl. Soc., 55

, 746 (1987).

Rizwan-uddin and J. J. Dorning, "Numerical Simulations and the Nonlinear Dynamics of Two-Phase Flow in Heated Channels," in Heat Transfer -- Pittsburgh 1987

(Proc. ASME/AIChE Twenty-Fourth National Heat Transfer Conf.), pp. 190-198, Am. Inst. Chem. Engr., New York, 1987.

James Paul Holloway and J. J. Dorning, "The Dynamics of Coupled Non-linear Model Boltzmann Equations," J. Statistical Physics 49

, 607-660 (1987).

James Paul Holloway and J. J. Dorning, "Periodic Traveling Waves Bifurcating from Multi-Humped Vlasov Equilibria," Trans. Am. Nucl. Soc., 56

, 311 (1988).

Rizwan-uddin and J. J. Dorning, "A Chaotic Attractor in a Periodically Forced Two-Phase Flow System," Nucl. Sci. Engr., 100

, 393-404 (1988).

Rizwan-uddin and J. J. Dorning, "Thermal Hydraulic Mixing in the Split-Core ANS Reactor Design," Trans. Am. Nucl. Soc., 57

, 301 (1988).

James Paul Holloway and J. J. Dorning, "Spatially Nonuniform Traveling Waves Bifurcating from Single-Humped Vlasov Equilibria," Trans. Am. Nucl. Soc., 57

, 100 (1988).

Rizwan-uddin and J. J. Dorning, "Dynamic Analysis of Heated Channels with Time-Dependent Inlet Temperature, Heat Flux and Pressure Drop," Trans. Am. Nucl. Soc., 57

, 120 (1988).

S. T. Kim and J. J. Dorning, "A Discrete Nodal Transport Method for Cylindrical Geometry," Trans. Am. Nucl. Soc., 57

, 233 (1988).

Rizwan-uddin and J. J. Dorning, "Chaotic Dynamics of a Triply-Forced Two-Phase Flow System," in Advances Nucl. Engr. Computation and Radiation Shielding, pp. 74:1-74:22, Am. Nucl. Soc., LaGrange, IL, 1989.

12

S. T. Kim and J. J. Dorning, "Discrete Nodal and SN Transport Methods for Boundary-Fitted Coordinate Geometries," in Advances Nucl. Engr. Computation and Radiation Shielding

, pp. 2:1-2:15, Am. Nucl. Soc., LaGrange, IL, 1989.

Rizwan-uddin and J. J. Dorning, "Nonlinear Dynamics of Nuclear Coupled Density-Wave Oscillations," Trans. Am. Nucl. Soc., 59

, 165 (1989).

James Paul Holloway and J. J. Dorning, "Bifurcating Families of Periodic Traveling Waves in Rarefied Plasmas," Progress in Astronautics and Aeronautics, 116

, 115-126 (1989).

J. Dorning, "An Introduction to Chaotic Dynamics in Two-Phase Flow," AIChE Symp. Series No. 269, 85

, 241-248 (1989).

Rizwan-uddin and J. J. Dorning, "Nonlinear Dynamics of Multi-Phase Flow," in Cavitation and Multiphase Flow Forum -- 1989

(Ed., O. Furuya), pp. 101-108, ASME, NY, 1989.

James Paul Holloway and J. J. Dorning, "Undamped Longitudinal Plasma Waves," Phys. Letters A, 138

, 279-284 (1989).

J. Dorning, "Nonlinear Dynamics and Chaos in Heat Transfer and Fluid Flow," AIChE Symp. Series No. 269, 85

, 13-29 (1989).

K. R. McArdle and J. J. Dorning, "A Nodal Integral Method for the Fokker-Planck Equation," Trans. Am. Nucl. Soc., 60

, 362 (1989).

J. Dorning, "Is There a Strange Attractor in Your Reactor?" Trans. Am. Nucl. Soc., 60

, 341 (1989).

Rizwan-uddin and J. J. Dorning, "The Nonlinear Dynamics of Two-Phase Flow in a Simple Heated Loop," Chemical Engineering Communications, 87

, 1-19 (1990).

J. Dorning, "A Review of Bifurcation Nonlinear Dynamics and Chaos with Examples from Fluid Dynamics, Two-Phase Flow and Nuclear Power Reactors," in IMORN-21: Proc. Twenty-First Intern Mtg. on Reactor Noise

, PSI, Zurich, 1990.

S. T. Kim and J. J. Dorning, "Discrete Nodal and SN Transport Methods for Irregularly Shaped Shields," Nucl. Sci. Engr., 105

, 16-30 (1990).

Rizwan-uddin and J. J. Dorning, "Chaotic Dynamics of a Triply-Forced Two-Phase Flow System," Nucl. Sci. Engr., 105

, 123-135 (1990).

M. L. Buchanan and J. J. Dorning, "Bifurcation Theory of Solitary Waves in Vlasov Plasmas," Trans. Am. Nucl. Soc., 61, 166 (1990).

13

Rizwan-uddin and J. J. Dorning, "Nonlinear Nodal Two-Phase Thermal Hydraulics and Nodal Neutron Kinetics," Trans. Am. Nucl. Soc., 62

, 294 (1990).

M. L. Buchanan and J. J. Dorning, "Travelling Double Layers as Limits of Exact Solutions to the Nonlinear Vlasov Equations," Trans. Am. Nucl. Soc., 62

, 282 (1990).

H. Zhang, Rizwan-uddin and J. J. Dorning, "Systematic Lattice Cell and Fuel Assembly Homogenization for Nodal Diffusion Methods," Trans. Am. Nucl. Soc., 62

, 516 (1990).

James Paul Holloway and J. J. Dorning, "Nonlinear But Small Amplitude Longitudinal Plasma Waves," in Modern Mathematical Methods in Transport Theory (Operator Theory): Advances and Applications, Vol. 51

[Eds., W. Greenberg and J. Polewczak], pp. 155-179, Birkhäuser Verlag, Basel, 1991.

Rizwan-uddin and J. J. Dorning, "A Nonlinear Nodal Method for the Coupled Two-Phase Thermal Hydraulics and Neutron Kinetics of Boiling Water Reactors," in Advances in Mathematics, Computations, and Reactor Physics

, pp. 3.2 4-1 -- 3.2 4-17, University Graphics and Printing, University of Pittsburgh, Pittsburgh, PA, 1991.

M. L. Buchanan and J. J. Dorning, "Nonlinear Waves in Thermal Vlasov Plasmas," Trans. Am. Nucl. Soc., 63

, 193 (1991).

J. P. Hannon, J. P. Holloway and J. J. Dorning, "A Nodal Method for the Inviscid Shallow-Water Equations," in Advances in Mathematics, Computations, and Reactor Physics

, pp. 6.2 2-1 -- 6.2 2-13, University Graphics and Printing, University of Pittsburgh, Pittsburgh, PA, 1991.

H. Zhang, Rizwan-uddin and J. Dorning, "Systematic Cell and Assembly Homogenization and Local Flux Reconstruction for Nodal Diffusion Methods," in Advances in Mathematics, Computations, and Reactor Physics

, pp. 16.2 4-1 -- 16.2 4-20, University Graphics and Printing, University of Pittsburgh, Pittsburgh, PA, 1991.

James Paul Holloway and J. J. Dorning, "Undamped Nonlinear Plasma Waves," Physical Review A, 44

, 3856-3868 (1991).

J. Dorning, "Controlling Chaos in the Presence of Noise," Trans. Am. Nucl. Soc., 64

, 295 (1991).

M. L. Buchanan, James Paul Holloway and J. J. Dorning, "Recent Applications of Bifurcation Theory to Nonlinear Waves in Collisionless Plasmas," in Research Trends in Physics, Vol. I - Nonlinear and Relativistic Effects in Plasmas

[Ed., V. Stefan], 601-626, American Institute of Physics, New York, 1992.

J. Dorning, "Nonlinearity, Noise and Statistics in Natural Convective Flows," Trans. Am. Nucl. Soc., 65, 400, 1992.

14

Rizwan-uddin and J. Dorning, "Nonlinear Dynamics of Two-Phase Flow in Multiple Parallel Heated Channels," in ASME Proc. of the Symposium on Two-Phase Flow and Heat Transfer

, HTD-Vol 197, 63-72, 1992.

J. Dorning and J. Kim, "Bridging the Gap between the Science of Chaos and its Technological Applications," Chapter I in Applied Chaos

, pp. 3-30, John Wiley and Sons, New York, 1992.

J. J. Dorning, W. J. Decker and J. P. Holloway, "Controlling the Dynamics of Chaotic Convective Flows," Chapter VII in Applied Chaos

, pp. 189-206, John Wiley and Sons, New York, 1992.

Rizwan-uddin and J. Dorning, "Stability of Advanced Boiling Water Reactors," in ANS Proc. of the 1992 National Heat Transfer Conference

, HTC-Vol 6, 161-170, 1992.

M. L. Buchanan and J. J. Dorning, "Superposition of Small-Amplitude Nonlinear Waves in Collisionless Plasmas," Trans. Am. Nucl. Soc., 66

, 234 (1992).

Carlo Lancellotti and J. J. Dorning, "Plasma Waves in Lagrangian Coordinates," Trans. Am. Nucl. Soc., 66

, 235 (1992).

Hongbin Zhang, Rizwan-uddin and J. Dorning, "Applications of a Systematic Homogenization Theory for Nodal Diffusion Methods," Trans. Am. Nucl. Soc., 66

, 497 (1992).

W. J. Decker and J. J. Dorning, "A Block-Iterative Nodal Integral Method for Forced Convection Problems," Trans. Am. Nucl. Soc., 66

, 283 (1992).

M. L. Buchanan and J. J. Dorning, "Nonlinear Waves in Collisionless Plasmas," Physics Letters A, 179

, 306-310 (1993).

H. Zhang, Rizwan-uddin and J. J. Dorning, "Multiple-Scales Homogenization of the Diffusion Equation for Coarse-Mesh Calculations," Trans. Am. Nucl. Soc., 68A

, 222-224 (1993).

M. L. Buchanan and J.J. Dorning, "Superposition of Non-Linear Plasma Waves," Physical Review Letters, 70

, 3732-3735 (1993).

W. J. Decker and J. J. Dorning, "A Block Iterative Nodal Integral Method for Fluid Dynamics Problems," in Proc. of the Joint Int. Conf. on Math. Methods and Supercomputing in Nuclear Appl.

[Eds., H. Küsters, E. Stein and W. Werner], pp. 208-223, Kernforschungszentrum Karlsruhe GmbH, Karlsruhe, Germany, 1993.

M. L. Buchanan, P. Kirkitelos and J. J. Dorning, "Time-Asymptotic Field Amplitudes in Nonlinear Landau Damping," Trans. ANS, 69

, 230-232 (1993).

E. P. Michael, J. J. Dorning, E. M. Gelbard and Rizwan-uddin, "Nodal Integral Method for the Convection-Diffusion Heat Equation," Trans. Am. Nucl. Soc., 69, 239-241 (1993).

15

W. J. Decker and J. J. Dorning, "Numerical Studies of Three-Dimensional Effects in Natural Convection: The Double Glazing Problem," in Numerical Methods for Thermal Problems

[Ed., R. W. Lewis], pp. 419-430, Pineridge Press, Swansea, U.K., 1993.

H. Zhang, Rizwan-uddin and J. J. Dorning, "Systematic Homogenization of the Diffusion Equation and Flux Reconstruction for Nodal Methods," in Proc. of 1994 Topical Meeting on Advances in Reactor Physics in the Twenty-First Century

.Vol. III, pp. 397-415, American Nuclear Society, LaGrange Park, IL, 1994

Carlo Lancellotti and J. J. Dorning, "A Lagrangian Kinetic Theory Analysis of Wave Propagation in Rarefied Plasmas," Prog. in Aeronautics and Astronautics, 160

, 419-427 (1994).

M. L. Buchanan and J. J. Dorning, "Exact Solitary Waves in Rarefied Plasmas," Prog. in Aeronautics and Astronautics, 160

, 405-418 (1994).

J. Dorning, "Bifurcation, Nonlinear Dynamics and Chaos in Heat Transfer: A Brief Introduction and Overview," in Chaos in Heat Transfer and Fluid Dynamics [Eds: V. F. Arpaci, N. A. Hussain, S. Paolucci and R. G. Watts], HTD-Vol. 298

, 9-18, ASME, 1994.

C. Lancellotti and J. J. Dorning, "Nonlinear Trajectory Corrections in Landau Damping of Plasmas," Trans. Am. Nucl. Soc., 70

, 164-167 (1994).

J. Dorning, "The Singular Eigenfunction Solution to the Transport Equation - Or Separation of Variables with Tender Loving Care," Trans. Am. Nucl. Soc., 71

, 209-211 (1994).

J. Dorning, "From the Hilbert Expansion of the Boltzmann Equation to Reactor Homogenization," Trans. Am. Nucl. Soc., 71

, 237-239 (1994).

A. A. Karve, Rizwan-uddin and J. J. Dorning, "On Spatial Approximations for Liquid Enthalpy and Two-Phase Quality During Density-Wave Oscillations," Trans. Am. Nucl. Soc., 71

, 533-535 (1994).

E. P. E. Michael, J. J. Dorning and Rizwan-uddin, "Third Order Nodal Integral Method for the Convection-Diffusion Equation," Trans. Am. Nucl. Soc., 71

, 195-197 (1994).

P. C. Kirkitelos, M. L. Buchanan and J. J. Dorning, "Beam-Solitary Wave Interaction in Collisionless Plasmas," Trans. Am. Nucl. Soc., 71

, 269-271 (1994).

M. L. Buchanan and J. J. Dorning, "Near Equilibrium Multiple-Wave Plasma States," Physical Review E, 50

, 1465-1478 (1994).

M. L. Buchanan and J. J. Dorning, "Nonlinear Wave Packets in Rarefied Plasmas," Rarefied Gas Dynamics, 19, 631-637 (1995).

16

C. Lancellotti and J. J. Dorning, "Nonlinear Particle Trajectories and the Damping of Waves in Rarefied Plasmas," Rarefied Gas Dynamics, 19

, 85-92 (1995).

P. C. Kirkitelos, M. L. Buchanan and J. J. Dorning, "Beam-Plasma Interaction and Asymmetric Solitary Waves in Rarefied Plasmas," Rarefied Gas Dynamics, 19

, 638-644 (1995).

W. J. Decker and J. J. Dorning, "A Numerical Study of Pitchfork Bifurcations in a Volumetrically Heated Fluid," in Mathematics and Computations, Reactor Physics, and Environmental Analyses

, pp. 1104-1111, American Nuclear Society, LaGrange Park, IL, 1995.

M. L. Buchanan and J. J. Dorning, "Nonlinear Electrostatic Waves in Collisionless Plasmas," Physical Review E, 52

, 3015-3033 (1995).

W. J. Decker and J. J. Dorning, "Incomplete LU Decomposition in Nodal Integral Methods for Laminar Flow Problems," in Numerical Methods in Fluid Dynamics XIV

[Eds. S. M. Deshpande, S. S. Desai and R. Narasimha], pp. 325-330, Springer-Verlag, Berlin, 1995.

H. Zhang, Rizwan-uddin and J. Dorning, "Systematic Homogenization and Self-Consistent Flux and Pin Power Reconstruction for Nodal Diffusion Methods. Part I: Diffusion Equation Based Theory," Nuclear Science and Engineering, 121

, 226-244 (1995).

A. A. Karve, Rizwan-uddin and J. J. Dorning, "Stability Analysis of BWR Nuclear-Coupled Thermal-Hydraulics Using a Simple Model," in Proc. Seventh International Meeting on Nuclear Reactor Thermal-Hydraulics

, Vol. IV, pp. 2677-2703, NUREG/CP-0142, U.S. Nuclear Regulatory Commission, Washington, DC, 1995.

Paul C. Kirkitelos, M. Buchanan and J. J. Dorning, "Large Amplitude Solitary Waves in Nonlinear Collisionless Plasmas," Trans. Am. Nucl. Soc., 73

, 191-193 (1995).

Carlo Lancellotti and J. J. Dorning, "Time-Asymptotic Wave Propagation in Collisionless Plasmas," Trans. Am. Nucl. Soc., 73

, 190-191 (1995).

W. J. Decker and J. Dorning, "Bifurcations and Unfoldings in Natural Con-vection," Trans. Am. Nucl. Soc., 74

, 163-165 (1996).

W. J. Decker and J. Dorning, "Transitions to Chaos in Natural Convection," Trans. Am. Nucl. Soc., 74

, 165-166 (1996).

Carlo Lancellotti and J. J. Dorning, "Time-Asymptotic Amplitude Analysis for Nonlinear Plasma Waves," Trans. Am. Nucl. Soc., 75

, 166-167 (1996).

Atul A. Karve, Rizwan-uddin and J. J. Dorning, "Stability Boundaries of BWRs in Operating Parameter Space and in the Power-Flow Plane," Trans. Am. Nucl. Soc., 75, 392-394 (1996).

17

Carlo Lancellotti and J. Dorning, "Nonlinear Plasma Wave Propagation," in Proceedings of the Twenty-Third International Conference on Phenomena in Ionized Gases

," I.210-I.213, Université Paul Sabatier of Toulouse Press, Toulouse, France, 1997.

Hongbin Zhang, Rizwan-uddin and J. J. Dorning, "Systematic Homogenization and Self-Consistent Flux and Pin Power Reconstruction for Nodal Diffusion Methods. Part II: Transport Equation Based Theory," Transport Theory and Statistical Physics, 26

, 433-468 (1997).

Atul A. Karve, Rizwan-uddin and J. J. Dorning, "Stability Analysis of BWR Nuclear-Coupled Thermal-Hydraulics Using a Simple Model," Nuclear Engineering and Design, 177

, 155-177 (1997).

Hongbin Zhang, Rizwan-uddin and J. J. Dorning, "A Multiple-Scales Systematic Theory for the Simultaneous Homogenization of Lattice Cells and Fuel Assemblies," Transport Theory and Statistical Physics, 26

, 765-811 (1997).

J. Dorning, "Solution to the Nonlinear Critical Eigenvalue Problem with a Supplementary Variational Principle," in Proceedings of the Joint International Conference on Mathematical Methods and Supercomputing for Nuclear Applications

, Vol. 1, pp. 930-941, American Nuclear Society, LaGrange Park, IL, 1997.

Atul A. Karve, J. J. Dorning and Rizwan-uddin, "Out-of-Phase Power Oscillations in Boiling Water Reactors," in Proceedings of the Joint International Conference on Mathematical Methods and Supercomputing for Nuclear Applications

, Vol. 2, pp. 1633-1647, American Nuclear Society, LaGrange Park, IL, 1997.

J. Dorning, "Some Comments on Cold Hydrogen Moderators, Simple Synthetic Scattering Kernels and Benchmark Calculations," in The Proceedings of the International Workshop on Cold Moderators for Pulsed Neutron Sources

, pp. 100-108, OECD, Paris, 1998.

Carlo Lancellotti and J. J. Dorning, "Nonlinear Landau Damping in a Collisionless Plasma," Physical Review Letters, 80

, 5236 (1998).

Carlo Lancellotti and J. Dorning, "Critical Initial States in Collisionless Plasmas," Physical Review Letters 81

, 5137-5140 (1998).

J. Dorning, "A Comment on Runaway Particles," Progress in Nuclear Energy, 34Carlo Lancellotti and J. Dorning, "Time-Asymptotic Traveling-Wave Solutions to the Nonlinear Vlasov-Poisson-Ampère Equations," Journal of Mathematical Physics,

, 507-513 (1999).

40

, 3895-3917 (1999).

J. Dorning, "Models and Numerical Methods in Transport Theory and in Mathematical Physics," Transport Theory and Statistical Physics (Conf. Rpt.), 28

, 531-541 (1999).

18

J. Dorning, "Why Cold Neutron Sources "Burp:" An Example of a Supercritical Hopf Bifurcation," in Proceedings of the International Conference on Mathematics and Computation, Reactor Physics and Environmental Analysis in Nuclear Applications

, Vol. 1, pp. 474-481, Senda Editorial, Madrid, Spain, 1999.

J. Dorning, "Mathematical Aspects of Fluid and Plasma Dynamics," Transport Theory and Statistical Physics (Conf. Rpt.), 28

, 743-761(1999).

E. P. E. Michael and J. Dorning, "A Primitive-Variable Nodal Method for the Steady-State Navier-Stokes Equations, Trans. Am. Nucl. Soc., 83

, 420-422 (2000).

B. E. Mays and J. Dorning, "A Nodal Integral Method for the Shallow-Water Equations with Dissipation," Trans. Am. Nucl. Soc., 83

, 424-426 (2000).

E. P. Michael, J. Dorning and Rizwan-uddin, "Studies on Nodal Integral Methods for the Convection-Diffusion Equation," Nuclear Science and Engineering, 137

, 380-399 (2001).

J. Dorning, P. Nelson and P. F. Zweifel, "Particle Transport in Gases, Plasmas, Semiconductors and Nuclear Systems," Transport Theory and Statistical Physics (Conf. Rpt.), 30

, 86-115 (2001).

E. P. E. Michael and J. Dorning, "A Primitive-Variable Nodal Method for the Time-Dependent Navier-Stokes Equations," in the Proceedings of the 2001 American Nuclear Society International Meeting on Mathematical Methods for Nuclear Applications

, pp.101-116, American Nuclear Society, LaGrange Park, IL, 2001.

B. E. Mays and J. Dorning, "A Nodal Integral Method for the Dissipative Shallow-Water Equations with Coriolis Force," in the Proceedings of the 2001 American Nuclear Society International Meeting on Mathematical Methods for Nuclear Applications

, pp. 201-214, American Nuclear Society, LaGrange Park, IL, 2001.

E. P. E. Michael and J. Dorning, "Studies on Nodal Methods for the Time-Dependent Convection-Diffusion Equation," in the Proceedings of the 2001 American Nuclear Society International Meeting on Mathematical Methods for Nuclear Applications

, pp. 215-232, American Nuclear Society, LaGrange Park, IL, 2001.

Carlo Lancellotti and J. Dorning, “Time-Asymptotic Wave Propagation in Collisionless Plasmas,” Physical Review E, 68

, No. 2, 026406: 1-31 (2003).

J. Dorning, “Homogenized Multigroup and Energy-Dependent Diffusion Equations as Asymptotic Approximations to the Boltzmann Equation,” Transactions American Nuclear Society, 89

, 313-316 (2003).

19

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Brian E. Mays and J. Dorning, “An Improved Nodal Integral Method for the Shallow Water Equations in Cartesian Geometries,” in the Proceedings of the 2005 American Nuclear Society International Conference on Mathematics and Computation, Supercomputing, Reactor Physics and Nuclear and Biological Applications

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