@Article{CiCP-15-1184, author = {}, 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 = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.210313.181213s}, url = {http://global-sci.org/intro/article_detail/cicp/7134.html} }