Home | english  | Impressum | Datenschutz | Sitemap | KIT

Budgets

Budget of vertical turbulent heat flux <w'T'>

x3 centered position of mesh cell centers in x_3-direction
Production production due to mean temperature field and buoyancy
Press. Scr. pressure scrambling term
Mol. Dest. molecular destruction
Diffusion molecular and turbulent diffusion
Sum = Production + Press. Scr. + Mol. Dest. + Diffusion

Reference:
Wörner, M., Schmidt, M., Grötzbach, G.,
Direct numerical simulation of turbulence in an internally heated convective fluid layer and implications for statistical modelling.
Journal of Hydraulic Research, 35:773-798 (1997).

Wörner, M., Grötzbach, G.,
Turbulent heat flux balance for natural convection in air and sodium analysed by direct numerical simulations.
Proc. 5th Int. Symposium on Refined Flow Modelling and Turbulence Measurements, Sept. 7 - 10, 1993, Paris, France. Presses de l'ecole nationale des ponts et chaussees, Paris, pp. 335 - 342, (1993).

 

Budget of epsilon

data are not included yet!

 

Budget of k

x3 centered position of mesh cell centers in x_3-direction
turb. Diff. correlation in turbulent diffusion term
Mol. Diff. 1/(SQRT(Gr)) * (d k / d x_3)
Shear Prod. production by shear
Buoy. Prod. production by buoyancy
Production sum of production by shear and buoyancy
Dissipation Dissipation of k (=Epsilon)
Diffusion turbulent and molecular diffusion (with outer derivative)
Sum = Production + Diffusion - Dissipation

Reference:
Wörner, M., Schmidt, M., Grötzbach, G.,
Direct numerical simulation of turbulence in an internally heated convective fluid layer and implications for statistical modelling.
Journal of Hydraulic Research, 35:773-798 (1997).

Wörner, M., Grötzbach, G.,
Analysis of diffusion of turbulent kinetic energy by numerical simulations of natural convection in liquid metals.
Proc. 6th International Topical Meeting on Nuclear Reactor Thermal Hydraulics (NURETH-6), Oct. 5 - 8, 1993, Grenoble, France. American Nuclear Society (French Section), Eds.: M. Courtaud & J.M. Delhaye, Vol. I, pp. 186 - 193, (1993).

 

Budget of (T' * T') / 2

x3 centered position of mesh cell centers in x_3-direction
Production production by mean temperature field
Dissipation  Dissipation of (=Epsilon_T)
Diffusion  turbulent and molecular diffusion
Sum  = Production + Diffusion - Dissipation

 

Reference:
Wörner, M., Grötzbach, G.,
Analysis of thermal variance equation for natural convection of air and sodium.
in:"Turbulence, Heat and Mass Transfer I", Eds.: K.Hanjalic & J.C.F. Pereira, Begell House Inc., N.Y., pp. 332 - 337, (1995).
 
 

Budget of Epsilon_T

x3 centered  position of mesh cell centers in x_3-direction
Production  sum of generation terms due to mean temperature field, mean velocity field and fine scale turbulence interaction
Dissipation  destruction due to fine scale turbulence interaction
Diffusion  turbulent and molecular diffusion
Sum  = Production + Dissipation + Diffusion

 

Reference:
Wörner, M., Grötzbach, G.,
Analysis of the transport equation of temperature variance dissipation rate by direct numerical simulation data of natural convection.
in: "Engineering Turbulence Modelling and Experiments 3", Eds.: W. Rodi & G. Bergeles, Elsevier Science B.V., pp. 229-238, (1996).