Low Mach Asymptotic Preserving Scheme for the Euler-Korteweg Model

Giesselmann, Jan (2013) Low Mach Asymptotic Preserving Scheme for the Euler-Korteweg Model. (Submitted)

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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.

Item Type: Article
Subjects: Q Science > QA Mathematics
Depositing User: Dr Jan Giesselmann
Date Deposited: 24 Aug 2013 08:22
Last Modified: 05 May 2017 13:48
URI: http://preprints.acmac.uoc.gr/id/eprint/239

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