Rusanov flux computation

dextercfd · July 16, 2010, 04:05

Hi All,

I have a basic doubt in Flux computation in unstructured grids (DG scheme). The Rusanov fluxes are given by

F = 0.5*(FL+FR - Smax * ( QR - QL ) )

Can anyone please explain the transformation of the fluxes and solution vectors from the cartesian to local face coordinates in the process of solution evolution?

Is the following procedure correct?

1) Transform Q to face local coordinate QT
2) Compute Flux FT(QT)
3) Transform the flux vector back to cartesian coordinate

or, is the following one prefferable?

1) Compute 3D cartesian fluxes
2) Estimate wave speed (Smax) along normal direction
3) Compute normal flux (F .dot. n)

Not sure what they use in common...

Your help is much appreciated. Thanks.

praveen · July 16, 2010, 10:51

See

http://www.cfd-online.com/Forums/blo...red-grids.html

dextercfd · July 19, 2010, 02:06

Hi Praveen,

Thank you for the link. This is exactly what I was searching.

July 16, 2010, 04:05	Rusanov flux computation	#1
dextercfd New Member Join Date: Jul 2010 Posts: 2 Rep Power: 0	Hi All, I have a basic doubt in Flux computation in unstructured grids (DG scheme). The Rusanov fluxes are given by F = 0.5(FL+FR - Smax ( QR - QL ) ) Can anyone please explain the transformation of the fluxes and solution vectors from the cartesian to local face coordinates in the process of solution evolution? Is the following procedure correct? 1) Transform Q to face local coordinate QT 2) Compute Flux FT(QT) 3) Transform the flux vector back to cartesian coordinate or, is the following one prefferable? 1) Compute 3D cartesian fluxes 2) Estimate wave speed (Smax) along normal direction 3) Compute normal flux (F .dot. n) Not sure what they use in common... Your help is much appreciated. Thanks. aerosayan likes this.

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July 16, 2010, 10:51		#2
praveen Super Moderator Praveen. C Join Date: Mar 2009 Location: Bangalore Posts: 342 Blog Entries: 6 Rep Power: 18	See http://www.cfd-online.com/Forums/blo...red-grids.html

July 19, 2010, 02:06		#3
dextercfd New Member Join Date: Jul 2010 Posts: 2 Rep Power: 0	Hi Praveen, Thank you for the link. This is exactly what I was searching.