@Article{CiCP-15-1184,
author = {Zhenzhen Li, Xijun Yu, Jiang Zhu and Zupeng Jia},
title = {A Runge Kutta Discontinuous Galerkin Method for Lagrangian Compressible Euler Equations in Two-Dimensions},
journal = {Communications in Computational Physics},
year = {2014},
volume = {15},
number = {4},
pages = {1184--1206},
abstract = {<p style="text-align: justify;">This paper presents a new Lagrangian type scheme for solving the Euler
equations of compressible gas dynamics. In this new scheme the system of equations
is discretized by Runge-Kutta Discontinuous Galerkin (RKDG) method, and the mesh
moves with the fluid flow. The scheme is conservative for the mass, momentum and
total energy and maintains second-order accuracy. The scheme avoids solving the geometrical
part and has free parameters. Results of some numerical tests are presented
to demonstrate the accuracy and the non-oscillatory property of the scheme.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.210313.181213s},
url = {http://global-sci.org/intro/article_detail/cicp/7134.html}
}