Picard-Newton Iterative Method with Time Step Control for Multimaterial Non-Equilibrium Radiation Diffusion Problem  

作　　者：Jingyan Yue Guangwei Yuan 

机构地区：[1]National Key Laboratory of Science and Technology on Computational Physics,Institute of Applied Physics and Computational Mathematics,P.O.Box 8009,Beijing 100088,China

出　　处：《Communications in Computational Physics》2011年第9期844-866,共23页计算物理通讯（英文）

基　　金：supported by the Basic Research Project of National Defence(B1520110011);the Foundation of CAEP(2010A0202010),the Foundation of National Key Laboratory of Science and Technology on Computational Physics。

摘　　要：For a new nonlinear iterative method named as Picard-Newton(P-N)iterative method for the solution of the time-dependent reaction-diffusion systems,which arise in non-equilibrium radiation diffusion applications,two time step control methods are investigated and a study of temporal accuracy of a first order time integration is presented.The non-equilibrium radiation diffusion problems with flux limiter are considered,which appends pesky complexity and nonlinearity to the diffusion coef-ficient.Numerical results are presented to demonstrate that compared with Picard method,for a desired accuracy,significant increase in solution efficiency can be obtained by Picard-Newton method with the suitable time step size selection.

关 键 词：Non-equilibrium radiation diffusion PICARD Picard-Newton based on linearizationdiscretization nonlinear iterative method time step control 

分 类 号：O17[理学—数学]