Runge-Kutta Discontinuous Galerkin Method with Front Tracking Method for Solving the Compressible Two-Medium Flow on Unstructured Meshes
Year: 2017
Author: Haitian Lu, Jun Zhu, Chunwu Wang, Ning Zhao
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 1 : pp. 73–91
Abstract
In this paper, we extend using the Runge-Kutta discontinuous Galerkin method together with the front tracking method to simulate the compressible two-medium flow on unstructured meshes. A Riemann problem is constructed in the normal direction in the material interfacial region, with the goal of obtaining a compact, robust and efficient procedure to track the explicit sharp interface precisely. Extensive numerical tests including the gas-gas and gas-liquid flows are provided to show the proposed methodologies possess the capability of enhancing the resolutions nearby the discontinuities inside of the single medium flow and the interfacial vicinities of the two-medium flow in many occasions.
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.2015.m1070
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 1 : pp. 73–91
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Runge-Kutta discontinuous Galerkin method front tracking method two-medium flow Riemann problem unstructured mesh.