Accerated Convergence of Jameson's Finite-Volume Euler Scheme Using Van der Houwen Integators.
by J. Pike and P. L. Roe
Computers and Fluids, Vol 13, No 2, pp.223-236, 1985.
An efficient method for obtaining converged solutions to the time dependent Euler equations has recently been proposed by Jameson. The convergence of the method is stablised by using a four-stage Runge-Kutta scheme. In this paper the convergence is assessed of multistage algorithms which are of Runge-Kutta type, and are stable for large time steps. This is done by means of numerical experiments using a coarse mesh. A six-stage algorithm is found to be best. It gives answers 15-20% more quickly than the standard method. No overheads in terms of increased storage is involved, and the results are indistinguishable at plotting accuracy from those obtained by the standard method.
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Last amended:March 09.