Optimized higher order time discretization of second order hyperbolic problems: Construction and numerical study

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:234

Article; Proceedings Paper

Joly, P.¹  Rodriguez, J.^1,2 

[1] INRIA Rocquencourt, ENSTA, INRIA, CNRS,Team Project Poems,UMR 2706, Le Chesnay, France

[2] USC, Dept Matemat Aplicada, Santiago De Compostela 15782, A Coruna, Spain

关键词: Time stepping;    High order methods;    Wave propagation problems;    Second order hyperbolic problems;    CLF condition;    Modified equation method;   

DOI  :  10.1016/j.cam.2009.08.046

来源: Elsevier

【 摘 要 】

We investigate explicit higher order time discretizations of linear second order hyperbolic problems. We study the even order (2m) schemes obtained by the modified equation method. We show that the corresponding CFL upper bound for the time step remains bounded when the order of the scheme increases. We propose variants of these schemes constructed to optimize the CFL condition. The corresponding optimization problem is analyzed in detail. The optimal schemes are validated through various numerical results. (C) 2010 Published by Elsevier B.V.

【 授权许可】

Free