# Reimann problem

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 May 24, 2007, 20:34 Reimann problem #1 Shuo Guest   Posts: n/a What's the difference between the Riemann problem and the shock tube?

 May 25, 2007, 05:13 Re: Reimann problem #2 Tom Guest   Posts: n/a The Riemann problem is a method and the shock tube is an example of the method.

 May 25, 2007, 13:34 Re: Reimann problem #3 jinwon Guest   Posts: n/a I guess you have confusions about the concept of the Riemann problem. Riemann problem is a problem containing one single wave. That is, u(x,t=0)=uL for x x0 Like above, the problem is spatially divided by two region but constant. If it is not constant(i.e. uL(x),uR(x)), it is called the Generalized Riemann problem. The shock tube problem is a very famous example used to simulate such a riemann problem. The reason you confused may be the difference between the exact solution and the numerical solution of the Riemann problem. There are a number of books available on this issue. For example, computational gasdynamics written by Culbert B. Laney. Good luck

 May 25, 2007, 14:51 Re: Reimann problem #4 Remi Guest   Posts: n/a is there any other example of the Riemann problem ?

 May 26, 2007, 10:09 Re: Reimann problem #5 Tom Guest   Posts: n/a A dam breaking in shallow water is one. Any problem governed by a hyperbolic equation has a Riemann problem (look up the theory of Riemann invariants in a book on pdes).

 May 28, 2007, 15:44 Re: Reimann problem #6 Remi Guest   Posts: n/a Do you think someone can see it in two-phase flows ? any advice will be very much appreciated.

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