Shock tube problem of a van der Waals fluid with a relaxation model was investigated.In the limit of relaxation parameter tending towards zero,this model yields a specific Riemann solver.Relaxing and relaxed schemes were derived.For an inci- dent shock in a fixed tube,numerical simulations show convergence toward the Riemann solution in one space dimension.Impact of parameters was studied theoretically and nu- merically.For certain initial shock profiles,nonclassical reflecting wave was observed.In two space dimensions,the effect of curved wave fronts was studied,and some interesting wave patterns were exposed.
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