itnpact of ocean circulation on regional polar clitnate sitnulations ... · 30 ppt in ice-covered...

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.1 nlla/rqf (.' /aci%gy 25 199 7 C Int e rn a ti onal Gl a ci ological Socie t)" Itnpact of ocean circulation on regional polar clitnate sitnulations using the Arctic Region Clitnate Systetn Model DAVID A. BAIL EY )-, AMAC\fDA H. LYNCH) *, KATHERINE S. ) All taTc tic alld S Oli them Ocean St udi es CR G [ "nil' e1"si{v qf Tc w l1allia. ('PO Bar 252(,: Hobart. Ta smania 7 001 .. l l/slT{dia ".! j ll stilute qf , I[mi ne and Co ast al Sciences. R lIlgers. Th e Slale qf .. \ eu '1me)' .. \ elC B ru nsw ick . . \] 089 03. l ABSTRACT. G lobal climatc models ha\'c pointedLO the polar regions as \ "C ry sensiti\'e a rcas in r es ponse to elimatc changc . Howc\ "Cr, these models o ft cn do not contain re pre sen- ta tion s of pr oce ss es peculiar to the polar regions such as dynamic sea ic e, pe rm a l'ro st, and Ar c ti c stratu s cl o ud s. Further, global models do not ha\ "C the resolution necessary to model acc ur ately many of the imp o rt a nt pr ocesses a nd f'ce db ac ks. Thu s, th ere is a nccd for r eg ional climatc models of hi gher resolution. On c such model (ARCS yJ\I) has been de\'e l- oped by A. Lynch a nd W. Ch a pm a n. Thi s modcl in co rp oratcs the :\fCAR R eg io nal C l i m a te ;\I odel with the a dditi on of FlalO H ibler ca \·itat i ng n uid sea -i ce dy nami cs and Parkinson \\ 'as hin g ton ice thermod ynamic fo rmul ation. Recently work has been co ndu cted to couple a mix ed-layer ocea n to the a tm os ph ere ice model, a nd a thr ee -dim ensional (3-D) dynami ca l o cea n model, in this case the S-Co o rdin ate Prillliti\ "C Equ ation H odel (SPE?\J), to the ice model. Simul a ti ons including oceanic c irc ul a ti on will allow im'Cs ti ga ti ons of the fee db ac ks in\'o h- ed in fr cs h-water runoff from sea -i ce melt and sea -i ce tr ans port. Furth er, it is s hown that th e definition or the mixed-la yer de pth has sig nificant impa ct on icc th er mody namic s. INTRODUCTION Th e Arctic O cca n a nd a clj ace nt seas s tron g ly innu ence th c Ea rth's climatc systcm di rec tl y, du e larg el y to the o\ "C rlying sea-i ce Co\T r that cr ea tes a high surface renec tan ce a nd limits turbul ent h ea t exchanges be tween the ocea n and the o\ 'C rlying a tm os ph ere. Furth er, the halocline te nd s to redu ce th e heat exchange be tween th e surf ace a tm os ph eric la yer and the subs urf ace oce anic la yers in the mode !. At th e same tim e, hi gh latitud e a ir- sea -i ce interac ti o n is the main con- duit thr ough which the deep ocea n co mmuni ca tes \\'ith the r es t of the climate systcm and \f a rtin so n. 199-+). A key element in und ersta ndin g ocea ni c imp act on clim ate is co mpr ehe ndin g the processes th at co ntrol the n ea r- surf ace exchange of h ea t, salt a nd mome ntum. A mod- elling a pproac h is well-suited to elucidating these c omple x interac ti on s. 7\fany a uth ors have fo und that models exhibit a sensiti\'ity or simulated climate to the tr eatm e nt of ocean th e rm odynamics and cir culation (De lworth a nd oth er s, 1993), and that the sensiti\'ity of a coupled a tm os pher e- ocea n model is diff erent from that of a s impl e a tmos ph eric global climate model (GC T\I ). Th e rel ax ing of consu" aint s a t th e ocea n a tm os ph ere inte rr acc intr o du ces new degrecs o Crr eedom into the systc m. ?\lany present-day coupled GCT\Is exhibit som(' degree of climate drift , a major c on ce rn in studies of climate and climat e \'a ri ability (Sto ckdal c and others, 1 994). Thi s pa per takes a regiona l-climat e mod elling a ppro ac h to the problem or ocean a tm os pher e interac ti on in the Ar c ti c in an effort to * Pr esent a ddr ess: C IRES, U ni\ 'ersity of Colorado, Boulde r, CO 80309 -0 21 6, U. S.A. und erstand better the linkages a nd fC cdb acks bet\\'een the a tm ospher e, ice and oce an without suff e rin g from the bi ases a nd simplifi ca tions o ra global mod e !. Of fundamental imp o rl ance is t he presence or a s urf ace layer in thc Arctic O cea n th at ext ends dO\\'n to about 200 m (Ba rr y and other s, 1993 ). \\ 'hile exhibitin g \'arious regio nal characteris ti cs, the surface layer is o ft e n " \\ -e ll-m ixed" down to about 50 m, with saliniti es as low as 29 ppt at the s urf ace a nd increasing with de pth. \Ve will di sc uss the criteria for defining ;' well-mixed" and how th ey relate to th e model simula ti on s. Th e pr esence of this s urf ace lay er is d e termined prim arily by continental runoff throu gh mixin g from the s helC seas a nd the Be ring Str a it infl ow. Th e la tt er re pr ese nt s almost a third of the total fr es h-water input to the Ar ctic Ocean (A agaa rd a nd Carma ck, 1989), a nd the Be rin g Str a it prO\'ides the only a\T nU e of exchange for ice, water and heat bet ween the Pacific and Ar c ti c O cea ns. Thu s, the wes tern Ar c ti c has been chosen as a fo cus a rea lor this stud y. Th (" Bering Strait is less than 60 m deep and c onne cts two sha ll ow, smoo th a nd extensi\'e she lf reg ion s to the Chukc hi Sea to the no rth a nd th e Be rin g Sea to th e south. Th c she lr\ n ll erS arc co nn ected to the :\fo rth Pac ifi c throu gh the Aleutian passes, \\'ith wa ter exchange on the o rder 01' 25- 35 S\·. Th e backgro und 110\\' to the no rth thr ough the Be rin g Str a it is dri\ "C n by a mean sea-le\'el slope bet\\"cen the Pa cifi c and Ar c ti c Oceans, with an anllual mean or 0. 8 S\· a nd a seasonal cycle of a mplitud e O.G S\', with the maximum in Jun e and the minimum in Fe bru ary ( Coachman and Aagaa rd 1 988). The observed s tr ong \'a ri a bilit y of the Be r- ing Str a it fl ow is prim a ril y c au sed by thc \'ariability in the regional wind fi eld (Aaga ard a nd others, 1985), with str ong no rth e rl y wind s redu cing th e no rthwa rd tr anspo rt durin g the winte r. 203

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. 1nlla/rqf(.' /aci%gy 25 1997 C Interna ti ona l Gla ciological Societ)"

Itnpact of ocean circulation on regional polar clitnate sitnulations using the Arctic Region Clitnate Systetn Model

DAVID A. BAIL EY)-, AMAC\fDA H. LYNCH ) *, KATHERINE S. HEDSTRbM~ ) AlltaTctic alld S Oli them Ocean Studies CR G [ "nil'e1"si{v qfTcw l1allia. ('PO B ar 252(,: H obart. Tasmania 7001 .. l l/slT{dia

".! j ll stilute qf ,I[mine and Coastal Sciences. R lIlgers. Th e S lale Cnil 'ersi~) ' qf .. \ eu'1me)' . . \ elC B runswick . . \] 08903. l ~s. . J.

ABSTRACT. G loba l clima tc models ha\'c pointedLO the pola r regions as \"C r y sensiti\ 'e a rcas in response to elim atc cha ngc. Howc\"Cr, these models oft cn do not conta in represen­ta tions of processes pec uli a r to the pola r regions such as dyna mic sea ice, perm a l'rost, and Arctic stratus clo ud s. Further, g loba l models do not ha\"C th e resolution necessa ry to model acc ura tely m a ny o f th e impo rt a nt processes a nd f'cedbac ks. Thus, there is a nccd for regional clim atc m odels of higher resolution. Onc such model (ARCSyJ\I ) has been de\'el­o ped by A. Ly nch a nd W. Ch a pm a n. Thi s modcl inco rpo ra tcs the :\fCAR R egio nal C l i m a te ;\Iodel ( RegC~I 2) with the additi o n of FlalO H ibl er ca\·it a t i ng n uid sea-ice dynamics a nd Pa rkinson \\'as hington ice thermod yna mic fo rmul ation. Recentl y work has been conducted to couple a mixed-laye r ocean to the a tmosphere ice model , a nd a three-dimensiona l (3-D ) dyna mical ocean model, in thi s case the S-Coordinate Prillliti\"C Equa tion H odel (SPE?\J ), to the ice model. Simula ti ons including oceanic circul a ti on will a llow im'Cs tigati ons of the feedbacks in\'oh-ed in frcsh-wa ter runoff from sea-ice melt and sea-ice tra nsport. Further, it is shown that the definiti on or the mixed-laye r depth has sig nificant impact on icc therm od ynamics.

INTRODUCTION

The Arct ic O ccan a nd aclj ace nt seas strong ly innuence thc Ea rth's clim atc systcm di rectl y, due la rgely to the o\"Crlying sea-ice Co\Tr that creates a high surface renec tance a nd limits turbulent heat exchanges between the ocean a nd the o\'C rlying a tmosphere. Further, the ha loc line tends to reduce the hea t excha nge between the surface a tmospheric layer

a nd the subsurface oceanic laye rs in the mode!. At the sam e time, high latitude air- sea-ice interac tio n is the main con­duit throug h which the deep ocean communica tes \\'ith the rest of the clim ate systcm ( ~l cPhee a nd \fa rtinson. 199-+).

A key element in understa nding ocea nic impact on climate is comprehending the processes that control the

nea r-surface excha nge of heat, sa lt a nd momentum. A mod­elling a pproach is we ll-suited to elucida ting these complex interacti ons. 7\fany a uthors have found that models exhibit a sensiti\ 'it y or simul ated clima te to the treatment of ocea n thermod ynamics a nd circulati on (Delworth a nd others, 1993), a nd tha t the sensiti\'ity of a co upled a tmosphere­

ocea n model is different from that of a simple a tmospheric globa l climate model (G CT\I ).

The relax ing of consu"aints a t the ocean a tmosphere interracc introduces new deg recs oCrreedom into the systcm. ?\la ny present-day coupled GCT\Is ex hibit som(' deg ree of climate drift, a maj or concern in studi es o f climate and

climate \'a ri ability (Stockdal c and others, 1994). This paper ta kes a regio nal-climate modelling a pproac h to the problem or ocea n a tmos phere interacti on in the Arctic in an effort to

* Present address: C IRES, U ni\'ersity of Colorado , Boulder, CO 80309-0216, U. S.A.

understa nd better the linkages a nd fC cdbacks bet\\'een the a tmosphere, ice a nd ocean witho ut suffering from the biases

a nd simplifica tions ora globa l mode!. Of fund a menta l imporla nce is t he presence or a surface

layer in thc Arctic O cean tha t extends dO\\'n to a bout 200 m (Ba rr y a nd others, 1993). \\' hile exhibiting \'a ri ous regional cha racteri sti cs, the surface laye r is oft en "\\-ell-m ixed" down

to about 50 m, with saliniti es as low as 29 ppt at the surface

a nd increasing with depth. \Ve will di scuss the criteri a for defining ;'well-mi xed" and how they rela te to the model simul ati ons. The presence of thi s surface layer is determined prima ril y by continental runoff through mixing from the shelC seas a nd the Bering Stra it infl ow. The la tter represents

a lmost a third of the total fres h-water input to the Arctic

O cean (Aagaa rd a nd Carmack, 1989), a nd the Bering Strait

prO\'ides the o nly a\TnUe of exchange for ice, water and heat bet ween th e Pacific a nd Arctic O ceans. Thus, the western Arcti c has been chosen as a fo cus a rea lo r this stud y.

Th (" Berin g Strait is less than 60 m deep and connects

two sha ll ow, smooth a nd extensi\'e shelf regions to the

Chukchi Sea to the north a nd the Bering Sea to the south. Thc shelr\n ll erS a rc connected to the :\fo rth Pac ific through the Aleuti a n passes, \\'ith water excha nge on the order 01'25-35 S\·. The bac kg ro und 110\\' to the north through the Bering Stra it is dri\ "C n by a mean sea-le\'e l slo pe bet\\"cen the Pacific

a nd Arctic O cea ns, with a n a nllua l mean or 0.8 S\· a nd a

seasona l cycle of a mplitude O.G S\', with the maximum in June a nd the minimum in Februa ry (Coachman a nd Aagaard 1988). The observed strong \'a ri a bilit y of the Ber­ing Stra it fl ow is prima ril y caused by thc \'a riability in the regiona l wind fi eld (Aagaa rd a nd oth ers, 1985), with strong

northerl y winds reducing the northwa rd transport during the wint er.

203

Bailey and others: Impact qf ocean circulation on climate simulations

First, the Arctic Region Climate System Model (ARC­SyM ) and the ocean components used in this study of three­month simulations from J anuary to M arch 1988 will be described. Second the influence of ocean thermodynamics a nd ocean dynamics are discussed. Finally, the question of the definition of a "well-mixed" layer in an ice-covered ocean is considered.

MODEL DESCRIPTION

Since the ARCSy M has been desc ribed in detail in Lynch a nd others (1995) only a brief summa ry will be reproduced here. The atmospheric component is based on the NCAR

RegCM 2 (Giorgi and others, 1993), a hydrostatic, primi­tive-equation model with a terrain following verti cal coo rdinates and a stagge red '1\rakawa E" hori zonta l grid. T he model dom.ain has a hori zontal resolution of 63 km and 23 sigma levels in the vertical, with the highes t resolu­

tion in the bounda ry layer. The sea-ice component is based on the cavitating-fluid

ice-dynamics scheme of Flato a nd Hibler (1992) with an a nti-diffusion option (Lynch and others, 1997), and the ther­modynamics of Pa rkinson and Washing ton (1979). The thermodynamics fo rmulation is a simple two-laye r model

allowing for ice, leads and snow cover. The turbulent heat and moisture flu xes are parameteri sed using the standa rd bulk aerodynam.ic formulae, with the tu rbul ent transfer coeffi cient a function of the near-surface atmospheric stab­ility. Thc bulk Richardson number is calculated sepa rately over ice and open-water surfaces as a measure of the stability of the near-surface environment (Curry and Ebert, 1992).

New to thi s formulation is the addition of mixed-layer and dynamica l ocean components. The mi xed-l ayer compo­nent is a second-order closure turbul ence scheme (Kantha and Clayson, 1994) belonging to the M ellor- Yamada hierar­chy, but with some m odifications (G alperin and others, 1988). The surface bounda ry of the water column is forced by the sensibl e and latent heat fluxes, the radiati ve flu xes, the precipitation- evaporation rate (at open ocean and lead a reas), melting- freez ing rates (ice-covered a reas ), and sur­face stresses at the ice- ocean or atmosphere-ocean inter­faces. The one-dimensiona l (I-D) mixed-l aye r formulation then solves the turbul ence-closure equations for the tem­p erature, salinity, mean velocity components, turbulent energy, and mixed-layer depth. The model is con fi gured with one water column at open-ocean gridcell s, and two water columns a t ice-covered gridcells. The latter a llows for the ca lculation of separate lead- to-a tmosphere a nd ice­to-atmosphere flu xes. The amount of the shortwave radi ati on th at reaches the ocean through the ice a nd snow cover is decreased exponenti ally with ice a nd snow thick­ness. This is a ge nera li sed curve based on the findin gs of Ebert a nd others (1995), who considered the ex tinction of severa l shortwave bands in different typ es of icc cover. The

incoming longwave is ge nera ll y assumed to be absorbed in either the snow layer or very thin upper ice layer.

The dynamical ocean model is th e S-coorc1inate prim.i­ti ve-equa ti on ocean-circul ation model SPEM Version 5.1 , which has a rigid lid approximation a nd a genera li zed topo­g raphy following the S-coordinate in the vertical (H a idvo­

gel and others, 1991 ; Song and H aidvogel, 1994). This coordinate is capabl e of simultaneously m aintaining high resolution in the surface layer as well as dealing with steep a nd deep bathymetry.

204

The model domain is a regIOn of the westcrn Arctic

centred on the Bering Strait. Th e bathymetry for this region, smoothed from the ETOP0 5 global ocean-topography data­sc t, is shown in Figure la, and the orog raphy is shown in Figure lb. The ocean model bounda ry conditions fo r this doma in a re sp ec ifi ed as foll ows: a barotropic inflow of 10.8 Sv into the Gulf of Alaska is fixed, ba lanccd by a ba ro­tropic outflow of 10 Sv on the wes tern side of the Bering Sea, and 0.8 Sv northward through the Bering Strait a nd into th e Arctic O cean. The surface-water sa linity is set to 30 ppt and the sea ice is assumed to be fres h. The atmospheric bound­ary conditions a re provided by 12 hour European Centre for M edium-Ra nge Weather Forecasts (ECMWF) analyses as

des crib cd in Lynch and others (1 995). Three model experi­ments were performed on this domain as follows:

(b)

Fig. l. Computational domain showing ( a) bath:ymel1y ( m) and ( b) orography ( 117). Note thalmaximum ocean dejJth is limited to 500 In.

(I ) C oupled a tmos ph ere- ice simul a tion : th e model wa s

initialized on I J anuary 1988 using ECMWF ana lyses, and a uniform ice cover 2 m thick with 99.5% concen­tra tion. Ice concentra tion a nd thickness spin-up rel a­tively quickl y from these a rbitrary initia l co nditions. Initial ice-edge da ta were obta ined from the weekly ice charts of the Navy-NOAAJoint Ice Center; snow cover

over land was initialized to 0.3 m depth at all g rid points that were initia lly colder than O°C (all land points dur­ing thi s season ). The slab ocean temperatures were initi­a lised from the da ta o f Shea and o thers (1992), with

modifica tions for compatibility with obscn "Cd icc cO\"Cr. Th e deep-ocean heat flux \vas fixed at 2 \V 111 ~ up\vards as desc ribed in Pa rkinson and Was hing ton (1979).

(2) Coupled atmosphere- ice- mixed-Iaye r-ocean model: the a tmos phere a nd ice components were initia lised as in experiment A. T he wat er column down to 50 m below the surface was modelled a t Im verti ca l resolut ion for this simu lation and in itia li sed with a uniform tempera­ture from the Shea SST. Sa linities we re initi a li sed a t

30 ppt in ice-covered areas, and 33 ppt in open-ocean a reas. The mea n ,"clocit y components were sta rted a t rest a nd rorced by the ice-wa ter or a i r water stresses.

(3) Co upled ire- ocean simula tion: the sea-i ce conditi ons were initi a li sed as in experiment A. Th e ocean, contain­ing 16 \'erti cal S-coordina te levels, was ini tia li zed in the ice-covered gridcclls with zero cur rents and a n a\'Craged profil e based on the Levitus ocean a tlas (Lev itus a nd Ge lfi cld , 1992) [or salinity and te mpera ture, typica l fo r the Arct ic Bas in. Th e open-ocean gridcell s we re initia l­ised with the Shea SST and a uniform sa linity of 33 ppt down to a depth of 50 m, and an a\'eraged Levitus profi le typical of the North Pac ific O cean below 50 m. Surface winds, rad ia ti ve nu xes, specific hum idity a nd surface-a ir temperature from exper iment A were used as forcing for the ice ocean model.

INFLUENCE OF OCEAN THERMODYNAMICS

Ex periment A provides an adequa te base sta te of ice con­centrations in the high Arctic when compared to the GISST 2.2 datase t (Pa rker and others, 1995). Figure 2 shows the monthly mean ice concentrations [or M arch - note the

low resolution of the GISST2.2 data (I C) compa red to the regiona l model. However, experiment A shows ice g rowing thermodynamically in the southern Eering Sea region in Februa ry and Nla rch, where it does not typically appear. This is due to cold simu lated atmos pheric temperatures (not shown), wh ich act to cause ice g rowth without the a me­liorating e[[ect of oceanic fecdbacks. In ex periment B, with the m ixed-l ayer ocean, the ove ra ll ice di stribution is much thinner due to th e warmth of the underlying ocean. As a result, the simulated ice edge (Fig. 3) is more rea listic than in experiment A, ye t a compari son with the GISST 2.2 data­

set shows the temperatures in the mixed-laye r case to be

overes tim ated by up to 5° in the most southern pa rts of the domain . The surrace nu x formula tion in the co upled model is current ly very simple, and these res ults suggest tha t a m ore sophi sticated f()rmu la tion may be necessa r y. Further, a n absence of ocean dynamics a llows a pos itive feedback between urface flu xes, air and ocea n temperatures, which is not mitigated by lateral transport.

INFLUENCE OF OCEAN DYNAMICS

Experiment C is dr iven by the output of experiment A,

which includes the co ld-air temperatures in the southern Bering Sea. Despi te th is, the add ition of a three-dimen­siona l (3-D ) ocean model, which includes a predi ctive ocean temperatu re, produces a more realist ic ice co ncentralion in the southern Bering Sea (Fig. 4). The pos itive reed backs lead ing to the excessive ice in experiment A and the excess­ive ocean temperatures in experiment E, a re absent in this

Bailey and others: i mjJact qfocean circulation Oil c/£lIZa/e simulations

(b)

0.5 0 .6 0.7 0.8 0.9 1.0

Fig. 2. '\/011 llz (J' mean ice colI[fnlraltonjor J1arclz ,jor ( a) exjmiment ,,-1 and (b) G1SST2.2 data.

case. The interaction of ocean dynamics a nd thermody­namics wilh the ice is sti ll present, a nd indicates a reduction of ice g rowth, but not at the expense of excessi\'e ocean tem­peratures. The ice edge in this case sti ll extends too fa r south, a nd concentrations are genera ll y 10\\'. It is expec ted that an impl ementa ti on 0 (" a full y coupl ed model that

0.5 0 .6 0 .7 0 .8 0.9 1.0

Fig. 3. .\101l /1z6' mean ice cOllcen/m/ionjor .\larch ,jor eljJeri­menl B l1, ith the lilt 'Ced-lc£ver 1Il0del.

205

Bailey and others: Impact qfocean circulation on climate si7l1ulatiolls

0.5 0.6 0.7 0.8 0.9 1.0

Fig. 4. M onthfy mean ice concentrationJor A Iarch,for e'<J)eri-7I1ent C with the 3-D ocean model.

includes ocean d yna mics a nd a m ixed- layer formul a ti on

will reduce th e unreali stic ice g rowth in the Bering Sea

a nd imp rove th e overa ll sea-ice di stribution. Prio r to this

implementa tion, it is necessar y to conside r th e appropria te definiti on fo r the mixed layer in ice-cove red ocea ns.

DEFINITION OF THE "MIXED LAYER"

The Pa rkinson and Was hing ton (1979) ice-therm od yna mics scheme ass umes tha t the inc rease in th e frac tion of ice in a g ridcell is ti ed to the energy ba la nce o f a constant depth a nd uniform tempera ture ocean mi xed layer. Ba rry a nd others (1993) a lso consider a tempera ture-dependent criteri on, in

which the mixed-layer dep th is defin ed by some max imum

difTerence (ge nera lly 0.2 1.0 K ) betwee n surfa ce tempera­ture a nd the tempera ture at th a t depth. It is a lso poss ible to

employ a simila r criteri on based on salinit y. K antha a nd Clayson (1994) a nd L a rge and o thers (1994) consider a criteri o n based on tu rbu lence, which ass umes the base of

the ocean mi xed layer occurs a t a depth where th e turbu­

lence pa ra mete r drops below a certa in threshold. ''''hile thi s criteri o n is consistent with the a tmospheric ana logy of th e bounda ry layer, it rema ins th a t the ice-fl-action g rowth ass umption of Pa rkinson a nd ' Vas hing ton (1979) is based on

a uniform-temperature mixed layer, which would imply the

temperature criterion is more applicable to this use. In add i­

tion, th e presence of ice a t th e surface can have a strong im­pact on the str ucture of the mi xed layer.

In a n at tempt to understa nd better th e impac t of these criteria, I-D experiments were p erfo rm ed with a 200 m

water column using the K a ntha a nd C layson (1994) mi xed­

layer ocean m odel. The surface fo rcing fo r the three m onths

from ex periment A was used in two situati ons: (i) a t a n o pen-ocean g r idcell in the so uthern pa rt of th e doma in, a nd a g ridcell in th e high A rc tic fo r bo th th e (ii ) ice-cove red a nd lead areas of the cell. In th ese ex periments a tempera­

ture difTerence 0[0.2 K , a salinity difTerence 0[0.1 ppt, a nd a

turbulence pa rameter thres hold value of 1.0 x 10 9 were

used as th e th ree cri teri a. It was found tha t fo r open ocean a nd leads, the ent ire

water column bccamc wel l-mixed very quickl y, by a ll criteri a.

206

Vario us initi a l conditions were tested, from stabl y stra tifi ed

to well- m ixed , and thi s behaviour was found to be indepen­dent of th e initi a l conditi ons. FromJanua ry to mid-Ma rch the sola r radi a tion is neglig ible becau e of the reduced day­light hours. Thus, ve ry strong upwa rd surface Du xes (Fig. 5b ) lead to rapid cooling of the surface laye r, a nd subse­

quent overturning of th c water colu mn .

Under ice-cove red areas, the situation was ver y differ­

ent. In addition to neglig ible sola r radi a tion, precipita tion

()n.....,..-----------------, 25

50

75

100

125

150

(a)

175

200~~--------------------~--~~~_t

o 15 30 45 60 75 90 days

20,-------------------------------,-800

15

10

5

o 15 30 45

days 60 75

(b)

90

()n-r~~r-----------------~(c~)

50

100

day 70

150

2oo-+---r--~--._--._--r__.--~--_i

00

-1 .88 -1.86 -1.84 -1.82 -1.80C

Fig. 5. (a) M iud-Iayer depth (m) ~y the turbulence criter­ion (bold line) and the temjJerature and salini~JI CTileria ( l1 arrow line at 200 m). Ocean sllIfoce is at 0 m. ( b) Net }lures at the suifaceJor the water coluInn under the ice ( bold, lift a ris) and that under the lead (dashed line, right axis) in

1 . I V m-. (c) Temperature prqfzles Jor the water column under the ire at day 50 and day 70 qft/ze integration. Ocean sll1Jace isot Om.

and evaporation do not affect th e ocean in these areas. The mai n su rface forces in the ice-covered areas i ncl ude the flux of hea t due to ice thermoconducti\·it y, ice freezing a nd melt­

ing (including runofHrom surface melt ), a nd ice-drag. H ow­

ever, while the salinity and temperatu re-dependent crite ri a indicated that the entire water column was well-mixed , the turbulent criterion did not. Fig ure 5a shows the predicted mixed-layer depth for the 3 month illlegralion under the

ic e. The turbulence criterion shows that the entire water col­

umn does not remain turbulent for the whole period. As the

surface fluxes of heat (Fig 5b), salinity and ice-drag arc rela­tively small , th e deep-ocean heat nux a llows tl1(" deeper water to become stably stratified O\·er time. Figure 5c shows the temperature profile for day 50 (which is well-mixed to 160 m by the turbulence criterion ) a nd clay 70 (which is well- mixed throughout the entire water column by a ll cri­teri a ). The temperature profile at day 50 indicates that there is strati fi cation below 160 m, yet th e temperature criterion is not strict enoug h to reflect thi s.

SUMMARY AND DISCUSSION

The exp eriments in this paper have shown that a mixed­layer formulation has imprO\·ed the O\·crall ice di stribution in the weste rn Arctic region, but at the expense of producing sea-surface temperatures that were too warm. This is par­tially due to the simplicity of the assumpti ons in coupling the mixed-l ayer ocean to the ice thermodynamics, a nd a lso in th e simplicity of the ice thermodynamics itself. The use of an ice model coupled to a 3-D ocean mode l without a mixed-layer formul ation can also imprO\·e the ice di stribu­ti on without the warmer sea-surfacc temperatures, and

cou ld be co upl ed to the atmospheric model in future runs.

T\!fO\·ing to a simula tion using a co upl ed atmosphere- ice­ocean model that ineludes the 3-D dynamical ocean primi­tive equations toget her with a mixed-laye r formulation is expected to conl.bine the best aspects of the two expni­ment s. However, there is a need to choose propn criteria for calculating the mixed-layer depth under the ice. It ap­

pears tha t a turbulence-based formulation is the most ac­cepted and more representative or the changes in the mixed layer under th e Arctic ice cover. The present ice-modelther­modyna mics could be adapted to include thi s, or a new ice­thermodynamic formul a tion co uld be incorporated.

Bailey and others: Impact q/ocean circulation 0 11 climate simulations

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