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Preprint-No.: <   442   >   Published in: January 2016   PDF-File: IGPM442.pdf
Title:A new stable splitting for the isentropic Euler equations
Authors:Klaus Kaiser, Jochen Schütz, Ruth Schöbel, Sebastian Noelle
Abstract:
In this work, we propose a new way of splitting the flux function of the isentropic compressible Euler equations at low Mach number into stiff and non-stiff parts. Following the IMEX methodology, the latter ones are treated explicitly, while the first ones are treated implicitly. The splitting is based on the incompressible limit solution, which we call reference solution (RS). An analysis concerning the asymptotic consistency and numerical results demonstrate the advantages of this splitting.
Keywords: flux splitting, isentropic Euler equations, low Mach, IMEX, reference solution
DOI: 10.1007/s10915-016-0286-6
Publication:Journal of Scientific Computing
March 2017, Volume 70, Issue 3, pp 1390-1407
Note:updated version of July 21, 2016