scholarly journals Flux Splitting for Stiff Equations: A Notion on Stability

2014 ◽  
Vol 64 (2) ◽  
pp. 522-540 ◽  
Author(s):  
Jochen Schütz ◽  
Sebastian Noelle
Keyword(s):  
Stiff Equations ◽  
Flux Splitting

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

2021 ◽  
Author(s):  
Jonas Zeifang ◽  
Andrea Beck
Keyword(s):  
Level Set ◽  
Phase Interface ◽  
Time Discretization ◽  
Spectral Element ◽  
Computational Time ◽  
Minor Role ◽  
Ghost Fluid Method ◽  
Specific Level ◽  
Flux Splitting ◽  
Mach Numbers

AbstractConsidering 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.

A low diffusion flux splitting method for inviscid compressible flows

2015 ◽  
Vol 112 ◽  
pp. 83-93 ◽  
Author(s):  
Wenjia Xie ◽  
Hua Li ◽  
Zhengyu Tian ◽  
Sha Pan
Keyword(s):  
Compressible Flows ◽  
Diffusion Flux ◽  
Splitting Method ◽  
Flux Splitting ◽  
Inviscid Compressible Flows

A flux-splitting solver for shallow water equations with source terms

2003 ◽  
Vol 42 (1) ◽  
pp. 23-55 ◽  
Author(s):  
Tomás Chacón Rebollo ◽  
Enrique D. Fernández Nieto ◽  
Macarena Gómez Mármol
Keyword(s):  
Shallow Water ◽  
Shallow Water Equations ◽  
Source Terms ◽  
Flux Splitting
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