Weighted Interior Penalty Methodwith Semi-Implicit Integration Factor Method for Non-Equilibrium Radiation Diffusion Equation  

作　　者：Rongpei Zhang Xijun Yu Jiang Zhu Abimael F.D.Loula Xia Cui 

机构地区：[1]School of Sciences,Liaoning ShiHua University,Fushun 113001,China [2]Laboratory of Computational Physics,Institute of Applied Physics and ComputationalMathematics,Beijing 100088,China [3]Laborat´orio Nacional de Computa¸cao Cient´ıfica,MCTI,Avenida Get´ulio Vargas333,25651-075 Petr´opolis,RJ,Brazil

出　　处：《Communications in Computational Physics》2013年第10期1287-1303,共17页计算物理通讯（英文）

基　　金：the National Nature Science Foundation of China(11171038);R.Zhang’s work was also supported by Brazilian Young Talent Attraction Program via National Council for Scientific and Technological Development(CNPq).J.Zhu and A.Loula’s works were partially supported by CNPq.X.Cui’s work was partially supported by the National Natural Science Foundation of China(11271054);the Science Foundation of CAEP(2010A0202010,2012B0202026);the Defense Industrial Technology Development Program(B1520110011).

摘　　要：Weighted interior penalty discontinuous Galerkin method is developed to solve the two-dimensional non-equilibrium radiation diffusion equation on unstructured mesh.There are three weights including the arithmetic,the harmonic,and the geometric weight in the weighted discontinuous Galerkin scheme.For the time discretization,we treat the nonlinear diffusion coefficients explicitly,and apply the semiimplicit integration factormethod to the nonlinear ordinary differential equations arising from discontinuous Galerkin spatial discretization.The semi-implicit integration factor method can not only avoid severe timestep limits,but also takes advantage of the local property of DG methods by which small sized nonlinear algebraic systems are solved element by element with the exact Newton iteration method.Numerical results are presented to demonstrate the validity of discontinuous Galerkin method for high nonlinear and tightly coupled radiation diffusion equation.

关 键 词：Discontinuous Galerkin weighted interior penalty semi-implicit integration factor non-equilibrium radiation diffusion 

分 类 号：O17[理学—数学]