@Article{AAMM-9-1,
author = {Lu, Haitian and Zhu, Jun and Wang, Chunwu and Zhao, Ning},
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 = {2017},
volume = {9},
number = {1},
pages = {73--91},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2015.m1070},
url = {https://global-sci.com/article/73239/runge-kutta-discontinuous-galerkin-method-with-front-tracking-method-for-solving-the-compressible-two-medium-flow-on-unstructured-meshes}
}