TY - JOUR
T1 - A Runge Kutta Discontinuous Galerkin Method for Lagrangian Compressible Euler Equations in Two-Dimensions
JO - Communications in Computational Physics
VL - 4
SP - 1184
EP - 1206
PY - 2014
DA - 2014/04
SN - 15
DO - http://doi.org/10.4208/cicp.210313.181213s
UR - https://global-sci.org/intro/article_detail/cicp/7134.html
KW - 
AB - <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>