Runge-Kutta Discontinuous Galerkin Method with Front Tracking Method for Solving the Compressible Two-Medium Flow on Unstructured Meshes

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.

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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.

Author Details

Haitian Lu

Jun Zhu

Chunwu Wang

Ning Zhao

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