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A fast Riemann solver with constant covolume applied to the random choice method. (English) Zbl 0673.76090
Summary: The Riemann problem for the unsteady one-dimensional Euler equations together with the constant-covolume equation of state is solved exactly. The solution is then applied to the random choice method to solve the general initial-boundary value problem for the Euler equations. The iterative procedure to find $$p^*$$, the pressure between the acoustic waves, involves a single algebraic (nonlinear) equation, all other quantities follow directly throughout the x-t plane, except within rarefaction fans where an extra iterative procedure is required. The solution is validated against existing exact results both directly and in conjunction with the random choice method.

##### MSC:
 76N15 Gas dynamics, general 65C05 Monte Carlo methods
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##### References:
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