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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.

76N15 Gas dynamics, general
65C05 Monte Carlo methods
Full Text: DOI
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