Open AccessRunge-Kutta discontinuous Galerkin finite element method for two-dimensional gas dynamic equations in unified coordinate
Author(s) -
Guozhong Zhao,
Xijun Yu
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.110208
Subject(s) - discontinuous galerkin method , runge–kutta methods , finite element method , polygon mesh , coordinate system , galerkin method , grid , extended finite element method , computer science , conservation law , mathematics , compressibility , mathematical analysis , numerical analysis , physics , geometry , mechanics , thermodynamics
In this paper we develop the Runge-Kutta discontinuous Galerkin finite element method for two-dimensional compressible gas dynamic equations in unified coordinate. The equations for fluid dynamics and geometry conservation laws are solved simultaneously. All the calculations can be performed on the fixed meshes. The information about the grid velocities is not needed in calculation. Some numerical examples are given to evaluate the efficiency and the reliability of the scheme. The numerical results show that the algorithm works well.