A Fast Riemann Solver with Constant Covolume Applied to the Random Choice Method

Report (1987)

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Copyright: © 1987 Cranfield Institute of Technology
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Published Date

31-10-1987

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College of Aeronautics Report 8719

Abstract

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 initialboundary value problem for the Euler equations. The iterative procedure to find p*, the pressure between the acoustic waves, involves a single algebraic (non-linear) equation, all other quantities follow directly throughout the x - t plane, except within rarefaction fans, where an extra iterative procedure is required. Starting in 1946 as the College of Aeronautics, the Cranfield Institute of Technology was granted university status in 1969. In 1993 it changed its name to Cranfield University.