A Class of Approximate Riemann Solvers and Their Relation to Relaxation Schemes
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چکیده
We show that a simple relaxation scheme of the type proposed by Jin and Xin Comm. Pure Appl. Math. 48(1995) pp. 235{276] can be reinterpreted as deening a particular approximate Riemann solver for the original system of m conservation laws. Based on this observation, a more general class of approximate Riemann solvers is proposed which allows as many as 2m waves in the resulting solution. These solvers are related to more general relaxation systems and connections with several other standard solvers are explored. The added exibility of 2m waves may be advantageous in deriving new methods. Some potential applications are explored for problems with discontinuous ux functions or source terms.
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تاریخ انتشار 2001