Accelerated convergence of Jameson's finite-volume Euler scheme using van der Houwen integrators (Q1061566)

An efficient method for obtaining converging solutions to the time- dependent Euler equations has recently been proposed by \textit{A. Jameson}, \textit{W. Schmidt} and \textit{E. Turkel} [Numerical solutions of the Euler equations by finite volume methods using Runge-Kutta time stepping schemes, AIAA Paper 81-1259 (1981)]. The convergence of the method is stabilised 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 larger time steps. This is done by means of numerical experiments using a coarse mesh.