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Volume 9, Issue 1
Runge-Kutta Discontinuous Galerkin Method with Front Tracking Method for Solving the Compressible Two-Medium Flow on Unstructured Meshes

Haitian Lu, Jun Zhu, Chunwu Wang & Ning Zhao

Adv. Appl. Math. Mech., 9 (2017), pp. 73-91.

Published online: 2018-05

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  • 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.

  • Keywords

Runge-Kutta discontinuous Galerkin method, front tracking method, two-medium flow, Riemann problem, unstructured mesh.

  • AMS Subject Headings

65M60, 65M99, 35L65

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

wang_chunwu@163.com (Chunwu Wang)

  • BibTex
  • RIS
  • TXT
@Article{AAMM-9-73, author = {Haitian and Lu and and 19552 and and Haitian Lu and Jun and Zhu and and 19553 and and Jun Zhu and Chunwu and Wang and wang_chunwu@163.com and 19554 and Sino-Dutch Biomedical and Information Engineering School, Northeastern University, Shenyang, Liaoning 110819, China and Chunwu Wang and Ning and Zhao and and 19555 and and Ning Zhao}, title = {Runge-Kutta Discontinuous Galerkin Method with Front Tracking Method for Solving the Compressible Two-Medium Flow on Unstructured Meshes}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {9}, number = {1}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2015.m1070}, url = {http://global-sci.org/intro/article_detail/aamm/12137.html} }
TY - JOUR T1 - Runge-Kutta Discontinuous Galerkin Method with Front Tracking Method for Solving the Compressible Two-Medium Flow on Unstructured Meshes AU - Lu , Haitian AU - Zhu , Jun AU - Wang , Chunwu AU - Zhao , Ning JO - Advances in Applied Mathematics and Mechanics VL - 1 SP - 73 EP - 91 PY - 2018 DA - 2018/05 SN - 9 DO - http://doi.org/10.4208/aamm.2015.m1070 UR - https://global-sci.org/intro/article_detail/aamm/12137.html KW - Runge-Kutta discontinuous Galerkin method, front tracking method, two-medium flow, Riemann problem, unstructured mesh. AB -

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.

Haitian Lu, Jun Zhu, Chunwu Wang & Ning Zhao. (2020). Runge-Kutta Discontinuous Galerkin Method with Front Tracking Method for Solving the Compressible Two-Medium Flow on Unstructured Meshes. Advances in Applied Mathematics and Mechanics. 9 (1). 73-91. doi:10.4208/aamm.2015.m1070
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