统一坐标系下二维气动方程组的Runge-Kutta间断Galerkin有限元方法

赵国忠; 蔚喜军

物理学报

赵国忠, 蔚喜军. 2012: 统一坐标系下二维气动方程组的Runge-Kutta间断Galerkin有限元方法, 物理学报, 61(11): 70-78.

引用本文:

赵国忠, 蔚喜军. 2012: 统一坐标系下二维气动方程组的Runge-Kutta间断Galerkin有限元方法, 物理学报, 61(11): 70-78.

2012: Runge-Kutta discontinuous Galerkin finite element method for two-dimensional gas dynamic equations in unified coordinate, Acta Physica Sinica, 61(11): 70-78.

Citation:

2012: Runge-Kutta discontinuous Galerkin finite element method for two-dimensional gas dynamic equations in unified coordinate, Acta Physica Sinica, 61(11): 70-78.

统一坐标系下二维气动方程组的Runge-Kutta间断Galerkin有限元方法

包头师范学院数学科学学院,包头,014030
北京应用物理与计算数学研究所计算物理实验室,北京,100088

Runge-Kutta discontinuous Galerkin finite element method for two-dimensional gas dynamic equations in unified coordinate

摘要: 构造了统一坐标系下二维可压缩气动方程组的Runge-Kutta间断Galerkin（RKDG）有限元格式.文中将流体力学方程组和几何守恒律统一求解,所有计算都在固定的网格上进行,在计算过程中不需要网格节点的速度信息.文中对几个数值算例进行了数值模拟,得到了较好的数值模拟结果.
- 统一坐标系 /
- Runge－Kutta间断Galerkin有限元方法 /
- 二维气动方程组
Abstract: 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.