Three topics on modern shock capturing methods for the time-dependent Euler equations of Gas Dynamics are addressed. First we present the Weighted Average Flux Method (or WAF), one of several Riemann-problem based shock capturing methods. Then we deal with the Riemann problem. We present an efficient exact Riemann solver, a robust non-iterative Riemann solver based on the behaviour of the exact solver, and an improved version of the Harten-Lax-van Leer Riemann solver. Also, a very simple linearised Riemann solver is presented together with a Riemann solver adaptation procedure. We also present a Riemann-solver adaptation procedure that has proved successful. Applications of the WAF method with the various Riemann solvers are presented.Cranfield Institute of Technolog
To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.