A Low Mach Number IMEX Flux Splitting for the Level Set Ghost Fluid Method

doi:10.1007/s42967-021-00137-2

Abstract

Abstract: Considering droplet phenomena at low Mach numbers, large differences in the magnitude of the occurring characteristic waves are presented. As acoustic phenomena often play a minor role in such applications, classical explicit schemes which resolve these waves suffer from a very restrictive timestep restriction. In this work, a novel scheme based on a specific level set ghost fluid method and an implicit-explicit (IMEX) flux splitting is proposed to overcome this timestep restriction. A fully implicit narrow band around the sharp phase interface is combined with a splitting of the convective and acoustic phenomena away from the interface. In this part of the domain, the IMEX Runge-Kutta time discretization and the high order discontinuous Galerkin spectral element method are applied to achieve high accuracies in the bulk phases. It is shown that for low Mach numbers a significant gain in computational time can be achieved compared to a fully explicit method. Applications to typical droplet dynamic phenomena validate the proposed method and illustrate its capabilities.

Key words: IMEX flux splitting, Level set method, Ghost fluid method, Low Mach number flows

CLC Number:

Jonas Zeifang, Andrea Beck. A Low Mach Number IMEX Flux Splitting for the Level Set Ghost Fluid Method[J]. Communications on Applied Mathematics and Computation, 2023, 5(2): 722-750.

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