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

Published online by Cambridge University Press:  20 August 2015

Jingyan Yue  and
Guangwei Yuan
Jingyan Yue*
Affiliation:
National Key Laboratory of Science and Technology on Computational Physics, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, China
Guangwei Yuan*
Affiliation:
National Key Laboratory of Science and Technology on Computational Physics, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, China
*
Email:yue_jingyan@iapcm.ac.cn
Corresponding author.Email:yuan_guangwei@iapcm.ac.cn
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Abstract

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 coefficient. 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.

Keywords

65M0665M0865M12Non-equilibrium radiation diffusionPicardPicard-Newton based on linearization-discretizationnonlinear iterative methodtime step control
Type
Research Article
Information
Communications in Computational Physics , Volume 10 , Issue 4 , October 2011 , pp. 844 - 866
Copyright
Copyright © Global Science Press Limited 2011

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