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arXiv · 1308.6177

Low Mach Asymptotic Preserving Scheme for the Euler-Korteweg Model

Jan Giesselmann
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Abstract

We present an all speed scheme for the Euler-Korteweg model. We study a semi-implicit time-discretisation which treats the terms, which are stiff for low Mach numbers, implicitly and thereby avoids a dependence of the timestep restriction on the Mach number. Based on this we present a fully discrete finite difference scheme. In particular, the scheme is asymptotic preserving, i.e., it converges to a stable discretisation of the incompressible limit of the Euler-Korteweg model when the Mach number tends to zero.

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Jan Giesselmann. 2013-08-28. Low Mach Asymptotic Preserving Scheme for the Euler-Korteweg Model. https://doi.org/10.1093/imanum%2Fdru022

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