Radiation boundary conditions for time-dependent waves based on complete plane wave expansions

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:234

Article; Proceedings Paper

Hagstrom, Thomas¹  Warburton, Timothy²  Givoli, Dan³ 

[1] Univ New Mexico, Dept Math & Stat, Albuquerque, NM 87131 USA

[2] Rice Univ, Dept Computat & Appl Math, Houston, TX 77005 USA

[3] Technion Israel Inst Technol, Dept Aerosp Engn, IL-32000 Haifa, Israel

关键词: Plane wave representations;    Radiation boundary conditions;    Evanescent modes;   

DOI  :  10.1016/j.cam.2009.08.050

来源: Elsevier

【 摘 要 】

We develop complete plane wave expansions for time-dependent waves in a half-space and use them to construct arbitrary order local radiation boundary conditions for the scalar wave equation and equivalent first order systems. We demonstrate that, unlike other local methods, boundary conditions based on complete plane wave expansions provide nearly uniform accuracy over long time intervals. This is due to their explicit treatment of evanescent modes. Exploiting the close connection between the boundary condition formulations and discretized absorbing layers, corner compatibility conditions are constructed which allow the use of polygonal artificial boundaries. Theoretical arguments and simple numerical experiments are given to establish the accuracy and efficiency of the proposed methods. (C) 2010 Published by Elsevier B.V.

【 授权许可】

Free