nato asi conference, kyiv-20041 modeling and simulation of turbulent penetrative convection and...

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NATO ASI Conference, Kyiv -2004 1 MODELING AND SIMULATION OF TURBULENT PENETRATIVE CONVECTION AND POLLUTANT DISPERSION ABOVE THE URBAN HEAT ISLAND IN STABLY STRATIFIED ENVIRONMENT A.F. Kurbatskiy Institute of Theoretical and Applied Mechanics SB RAS Novosibirsk State University Novosibirsk, Russia L.I. Kurbatskaya Institute of Computational Math. and Math. Geophysics SB RAS Novosibirsk, Russia

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Page 1: NATO ASI Conference, Kyiv-20041 MODELING AND SIMULATION OF TURBULENT PENETRATIVE CONVECTION AND POLLUTANT DISPERSION ABOVE THE URBAN HEAT ISLAND IN STABLY

NATO ASI Conference, Kyiv-2004 1

MODELING AND SIMULATION OF TURBULENT PENETRATIVE CONVECTION

AND POLLUTANT DISPERSION ABOVE THE URBAN HEAT ISLAND IN STABLY

STRATIFIED ENVIRONMENT

A.F. KurbatskiyInstitute of Theoretical and Applied Mechanics SB RAS

Novosibirsk State UniversityNovosibirsk, Russia

L.I. KurbatskayaInstitute of Computational Math. and Math. Geophysics SB RAS

Novosibirsk, Russia

Page 2: NATO ASI Conference, Kyiv-20041 MODELING AND SIMULATION OF TURBULENT PENETRATIVE CONVECTION AND POLLUTANT DISPERSION ABOVE THE URBAN HEAT ISLAND IN STABLY

NATO ASI Conference, Kyiv-2004 2

HEAT TRANSFER BOUNDARY CONDITIONS

At the plume axis and at its outer boundary

symmetric conditions

(/r) = (/r) = (/r) (2/r) = 0 are prescribed.

(Ur=0 at r = 0 and at r =1.8R)

At the top boundary

the zero-flux condition

V/z = /z = /z =

= 2/z = 0 is enforced.

Domain of integration

is a cylinder

rz

s o u r c e

Top boundary

Heat Flux, H0

Page 3: NATO ASI Conference, Kyiv-20041 MODELING AND SIMULATION OF TURBULENT PENETRATIVE CONVECTION AND POLLUTANT DISPERSION ABOVE THE URBAN HEAT ISLAND IN STABLY

NATO ASI Conference, Kyiv-2004 3

HEAT TRANSFER BOUNDARY CONDITIONS

The surface heat source is placed on the bottom (z = 0) has the size 0 r / D 0.5.

Boundary conditions at the bottom are specified as

heat flux H0 is prescribedvalues of E, and 2 at the first level above surface

are chosen according to Kurbatskii

(JAM, 2001, vol.40, No.10)

Domain of integration

is a cylinder

Z0

Top boundary

s o u r c e

Heat Flux, H0

r

Page 4: NATO ASI Conference, Kyiv-20041 MODELING AND SIMULATION OF TURBULENT PENETRATIVE CONVECTION AND POLLUTANT DISPERSION ABOVE THE URBAN HEAT ISLAND IN STABLY

NATO ASI Conference, Kyiv-2004 4

MASS TRANSFER BOUNDARY CONDITIONS

At the plume axis and at outer boundary,

(C/r) = (c/r) = 0.

At the top,

Constant flux of mass,

is prescribed inside a source.

At the bottom and outside of a source

Domain of integrationis a cylinder

Z

r

Top boundary

mass source

L = 0.5 D

.0// zczC

cHzCD )/(

,0 c.0/ zC

Page 5: NATO ASI Conference, Kyiv-20041 MODELING AND SIMULATION OF TURBULENT PENETRATIVE CONVECTION AND POLLUTANT DISPERSION ABOVE THE URBAN HEAT ISLAND IN STABLY

NATO ASI Conference, Kyiv-2004 5

MASS TRANSFER BOUNDARY CONDITIONS

The same boundary conditions are used for source of small length located at the center of a heat island.

Domain of integration

is a cylinder

Z

r

Top boundary

mass source

L=0.1D

Page 6: NATO ASI Conference, Kyiv-20041 MODELING AND SIMULATION OF TURBULENT PENETRATIVE CONVECTION AND POLLUTANT DISPERSION ABOVE THE URBAN HEAT ISLAND IN STABLY

NATO ASI Conference, Kyiv-2004 6

MASS TRANSFER BOUNDARY CONDITIONS

and the same boundary conditions are used for source of small length located at the periphery of a heat island.

Domain of integration

is a cylinder

Z

r

Top boundary

mass source

L= 0.1D