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

被引:1
作者
Zeifang, Jonas [1 ,2 ]
Beck, Andrea [2 ,3 ]
机构
[1] Hasselt Univ, Fac Sci, Agoralaan Gebouw D, BE-3590 Diepenbeek, Belgium
[2] Univ Stuttgart, Inst Aerodynam & Gas Dynam, Pfaffenwaldring 21, D-70569 Stuttgart, Germany
[3] Otto von Guericke Univ, Lab Fluid Dynam & Tech Flows, Univ Pl 2, D-39106 Magdeburg, Germany
关键词
IMEX flux splitting; Level set method; Ghost fluid method; Low Mach number flows; DISCONTINUOUS GALERKIN METHODS; NAVIER-STOKES EQUATIONS; EULER EQUATIONS; 2-PHASE FLOWS; FINITE-VOLUME; ISENTROPIC EULER; RIEMANN SOLVER; SPEED SCHEME; ALGORITHM; COMPUTATION;
D O I
10.1007/s42967-021-00137-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页码:722 / 750
页数:29
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