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How FVM will solve shock problem?

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Old   June 10, 2007, 22:34
Default How FVM will solve shock problem?
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michael
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I wonder, whether FVM can solve shock problem or not? I know that FDM can't solve it, but what is about FVM? Does FVM can solve it?
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Old   June 10, 2007, 23:00
Default Re: How FVM will solve shock problem?
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ag
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FVM and FDM can both solve the shock tube problem if the algorithms are formulated properly. You should examine some of the classic references.
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Old   June 11, 2007, 10:15
Default Re: How FVM will solve shock problem?
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michael
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Hi ag, thanks for response. I wonder, how fdm can solve? bcoz in fdm we are assuming that function is continuous, while shock itself is discontinuity. Pls let me know some of referances for fvm for shock problems. thanks.
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Old   June 12, 2007, 23:29
Default Re: How FVM will solve shock problem?
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ncat
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I don't know any example of FVM, but I know the discontinuous Galerkin FEM can solve shock problems. I guess some special interpolation function must be chosen in order to capture the discontinuity.

Check out Chi-Wang Shu's work.
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Old   June 13, 2007, 09:07
Default Re: How FVM will solve shock problem?
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ag
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The books by Hirsch, or Anderson, Tannehill and Pletcher, are good starting points.
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