Year: 2016
Author: Yonghui Guo, Ruo Li, Chengbao Yao
Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 2 : pp. 187–212
Abstract
We develop a numerical method to simulate a two-phase compressible flow with sharp phase interface on Eulerian grids. The scheme makes use of a level set to depict the phase interface numerically. The overall scheme is basically a finite volume scheme. By approximately solving a two-phase Riemann problem on the phase interface, the normal phase interface velocity and the pressure are obtained, which is used to update the phase interface and calculate the numerical flux between the flows of two different phases. We adopt an aggregation algorithm to build cell patches around the phase interface to remove the numerical instability due to the breakdown of the CFL constraint by the cell fragments given by the phase interface depicted using the level set function. The proposed scheme can handle problems with tangential sliping on the phase interface, topological change of the phase interface and extreme contrast in material parameters in a natural way. Though the perfect conservation of the mass, momentum and energy in global is not achieved, it can be quantitatively identified in what extent the global conservation is spoiled. Some numerical examples are presented to validate the numerical method developed.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2014.m706
Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 2 : pp. 187–212
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 26
Author Details
-
An approximate solver for multi-medium Riemann problem with Mie–Grüneisen equations of state
Chen, Li | Li, Ruo | Yao, ChengbaoResearch in the Mathematical Sciences, Vol. 5 (2018), Iss. 3
https://doi.org/10.1007/s40687-018-0147-z [Citations: 0] -
1D Exact Elastic-Perfectly Plastic Solid Riemann Solver and Its Multi-Material Application
Gao, Si | Liu, TiegangAdvances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 3 P.621
https://doi.org/10.4208/aamm.2015.m1340 [Citations: 9]