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flux limiter involving tensor : How to use fvc::flux() with volTensorField ? 

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December 21, 2010, 06:57 
flux limiter involving tensor : How to use fvc::flux() with volTensorField ?

#1 
Senior Member
Cyprien
Join Date: Feb 2010
Location: Stanford University
Posts: 251
Rep Power: 10 
Hi!
I am trying to build a flux from the fvc::flux() function with an volTensorField. The aim is to use flux limiter such as vanLeer scheme. For a volScalarField I use: Code:
volScalarField fS = blahblah; surfaceScalarField phi = linearInterpolate(U) & mesh.Sf(); surfaceScalarField phiS = fvc::flux(phi,fS,sScheme); Now I want to replace the volScalarField fS with a volTensorField TfS but Code:
volTensorField TfS = blahblah; surfaceScalarField phiS = fvc::flux(phi,TfS,sScheme); I can replace the previous snippet of code by: Code:
volTensorField TfS = blahblah; surfaceScalarField phiS = linearInterpolate(U&TfS) & mesh.Sf(); Do you know a trick to do such a thing ? Thank you very much for your help, Cyp 

January 3, 2011, 06:05 

#2 
Senior Member
Cyprien
Join Date: Feb 2010
Location: Stanford University
Posts: 251
Rep Power: 10 
Hi!
I am still facing this problem. Does anyone have an idea to solve this issue ? Best regards, Cyp (and happy new year!) 

January 21, 2011, 05:36 

#3 
Senior Member
Cyprien
Join Date: Feb 2010
Location: Stanford University
Posts: 251
Rep Power: 10 
Hi!
Here is the solution I found out to use tensor with the fvc::flux() object. Since fvc::flux() doesn't seem to be adapted to volTensorField, I turn the tensor formulation to a sum of scalarField formulation. Hence I can use fvc::flux(). U = Ux + Uy + Uz fS&U = fSxx*Ux+fSyx*Ux+fSzx*Ux + fSxy*Uy+fSyy*Uy + ...... Firstly, I need to get the surfacic flux of each component of the velocity field: Code:
phi_x = linearInterpolate(U.component(vector::X)*vector(1,0,0)) & mesh.Sf(); phi_y = linearInterpolate(U.component(vector::Y)*vector(0,1,0)) & mesh.Sf(); phi_z = linearInterpolate(U.component(vector::Z)*vector(0,0,1)) & mesh.Sf(); Then, I defined a surfaceScalarField which is based on the sum of volScalarField: Code:
surfaceScalarField phiS = fvc::flux(phi_x,fSb.component(tensor::XX),sScheme) + fvc::flux(phi_x,fSb.component(tensor::YX),sScheme) + fvc::flux(phi_x,fSb.component(tensor::ZX),sScheme) + fvc::flux(phi_y,fSb.component(tensor::XY),sScheme) + fvc::flux(phi_y,fSb.component(tensor::YY),sScheme) + fvc::flux(phi_y,fSb.component(tensor::ZY),sScheme) + fvc::flux(phi_z,fSb.component(tensor::XZ),sScheme) + fvc::flux(phi_z,fSb.component(tensor::YZ),sScheme) + fvc::flux(phi_z,fSb.component(tensor::ZZ),sScheme); I hope the snippet above could some of you, Best regards, Cyp 

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