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 |
References:
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 |
References:
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).