2D Implicit HLLC scheme

harish_0689@ · January 20, 2012, 04:28

Hello, I have developed implicit HLLC scheme for the euler equations and tried to test it on some 2-dimensional cases. But i found few problems with it and do not know the reasons for it.
1) my CFL number is not going beyond 5 for the implicit case
2) supersonic cases are totally diverging.

can anyone tell me what is the problem, is it the nature of the HLLC implicit scheme or am i doing some mistake.

the matrix solver i am using is GMRES

duri · January 21, 2012, 08:14

HLLC scheme is best suited for high mach cases. Something might be problem with you implementation. To check you implementation first try with 1D Shock tube cases given in Toro.

harish_0689@ · January 21, 2012, 13:22

I have solved C_D nozzle problem which is a quasi 1d problem and it converged. Anyway i vl try the shocktube problem and check.

January 20, 2012, 04:28	2D Implicit HLLC scheme	#1
harish_0689@ New Member C.Harish Join Date: Jun 2011 Posts: 15 Rep Power: 14	Hello, I have developed implicit HLLC scheme for the euler equations and tried to test it on some 2-dimensional cases. But i found few problems with it and do not know the reasons for it. 1) my CFL number is not going beyond 5 for the implicit case 2) supersonic cases are totally diverging. can anyone tell me what is the problem, is it the nature of the HLLC implicit scheme or am i doing some mistake. the matrix solver i am using is GMRES

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January 21, 2012, 08:14		#2
duri Senior Member duri Join Date: May 2010 Posts: 245 Rep Power: 16	HLLC scheme is best suited for high mach cases. Something might be problem with you implementation. To check you implementation first try with 1D Shock tube cases given in Toro.

January 21, 2012, 13:22		#3
harish_0689@ New Member C.Harish Join Date: Jun 2011 Posts: 15 Rep Power: 14	I have solved C_D nozzle problem which is a quasi 1d problem and it converged. Anyway i vl try the shocktube problem and check.