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Old   January 6, 2011, 15:43
Default 2D riemann solver
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m p
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I am trying to use roe scheme for a converging diverging nozzle. The basic work is from the work of Liu and Vinokur AIAA 89-0201. I first tried the method for a Sod shock tube problem. It forms the desired shape but there is a small jump on the expansion part,right on the middle of the tube where we assume the initial discontinuity. The same thing happens when I tried the code for a nozzle, The shock is formed, but on the throat, there is an unreal big jump downward. I tried to put some extra constant area zone to the beginning of the nozzle to have the throat some place other than imax/2 location , just as a guess of source of problem, but no difference actually.
I'll be thankful even if some body can guide me through any efficient formulations of Roe scheme for two dimensional applications.
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Old   January 10, 2011, 05:45
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Hi moein_joon27,

The best Riemann solver I know of is called GRP (Generalized Riemann Problem) by Joseph Falcowitz & Matania Ben-Artzi, and Sod's problem was their test case to show the GRP superiority over other schemes. It is quite complex, though. If you are not deterred - search for their publications since the mid 80's or so (there is even a book by these authors on the subject).

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