Kinetic spatial fluxes description

alberto · March 7, 2008, 19:11

Hello,

I'm currently working on a new project where the spatial fluxes are calculated according to their kinetic description.

Did anyone try or has some experience in implementing this technique in openFOAM?

Thanks in advance,
Alberto

alberto · March 9, 2008, 23:47

To clarify what I mean with kinetic description of the fluxes, I forgot to say that it's basically a flux splitting method. The spatial flux G of a variable is calculated as the sum of two contributions as:

G = G+ + G-

where, if we consider a cell i, f is a face of i, j is a neighbour of i along f, and n is the outward normal to the face f,

G+ = G+ (i, n)
G- = G- (j, n)

as explained for example in J. L. Estivalezes; P. Villedieu, High-Order positivity-Preserving Kinetic Schemes for the Compressible Euler Equations, SIAM Journal on Numerical Analysis, Vol. 33, No. 5. (Oct., 1996), pp. 2050-2067.

Regards,
A.

March 7, 2008, 19:11	Hello, I'm currently workin	#1
alberto Senior Member Alberto Passalacqua Join Date: Mar 2009 Location: Ames, Iowa, United States Posts: 1,912 Rep Power: 36	Hello, I'm currently working on a new project where the spatial fluxes are calculated according to their kinetic description. Did anyone try or has some experience in implementing this technique in openFOAM? Thanks in advance, Alberto __________________ Alberto Passalacqua GeekoCFD - A free distribution based on openSUSE 64 bit with CFD tools, including OpenFOAM. Available as in both physical and virtual formats (current status: http://albertopassalacqua.com/?p=1541) OpenQBMM - An open-source implementation of quadrature-based moment methods. To obtain more accurate answers, please specify the version of OpenFOAM you are using.

March 9, 2008, 23:47	To clarify what I mean with ki	#2
alberto Senior Member Alberto Passalacqua Join Date: Mar 2009 Location: Ames, Iowa, United States Posts: 1,912 Rep Power: 36	To clarify what I mean with kinetic description of the fluxes, I forgot to say that it's basically a flux splitting method. The spatial flux G of a variable is calculated as the sum of two contributions as: G = G+ + G- where, if we consider a cell i, f is a face of i, j is a neighbour of i along f, and n is the outward normal to the face f, G+ = G+ (i, n) G- = G- (j, n) as explained for example in J. L. Estivalezes; P. Villedieu, High-Order positivity-Preserving Kinetic Schemes for the Compressible Euler Equations, SIAM Journal on Numerical Analysis, Vol. 33, No. 5. (Oct., 1996), pp. 2050-2067. Regards, A. __________________ Alberto Passalacqua GeekoCFD - A free distribution based on openSUSE 64 bit with CFD tools, including OpenFOAM. Available as in both physical and virtual formats (current status: http://albertopassalacqua.com/?p=1541) OpenQBMM - An open-source implementation of quadrature-based moment methods. To obtain more accurate answers, please specify the version of OpenFOAM you are using.

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