摘要
提出一种求解二维非平衡辐射扩散方程的数值方法.空间离散上采用加权间断Galerkin有限元方法,其中数值流量的构造采用一种新的加权平均;时间离散上采用隐-显积分因子方法,将扩散系数线性化,然后用积分因子方法求解间断Galerkin方法离散后的非线性常微分方程组.数值试验中在非结构网格上求解了多介质的辐射扩散方程.结果表明:对于强非线性和强耦合的非线性扩散方程组,该方法是一种非常有效的数值算法.
A numerical method is developed for two-dimensional nonequilibrium radiation diffusion equations. Discontinuous Galerkin method is applied in spatial diseretization in which numerical flux is constructed with weighted flux averages. Implicit-explicit integration factor method for time discretization is applied to nonlinear ordinary differential equations which is obtained with discontinuous Galerkin method. Radiation diffusion equations with multiple materials are solved on unstructured grids in numerical tests. It demonstrates that the method is effective for high nonlinear and tightly coupled radiation diffusion equations.
出处
《计算物理》
EI
CSCD
北大核心
2012年第5期647-653,共7页
Chinese Journal of Computational Physics
基金
国家自然科学基金(11171038
11261035)资助项目
关键词
二维辐射扩散方程
间断有限元
加权平均
隐-显积分因子方法
非结构网格
two-dimensional radiation diffusion equation
discontinuous Galerkin finite element method
weighted averages
implicit-explicit integration factor method
unstructured grid