Local nonreflecting boundary condition for time-dependent multiple scattering

被引：26

作者：

Grote, Marcus J. ^{[1
]}

Sim, Imbo ^{[2
]}

机构：

[1] Univ Basel, Inst Math, CH-4051 Basel, Switzerland

[2] Ecole Polytech Fed Lausanne, Math Inst Computat Sci & Engn, CH-1015 Lausanne, Switzerland

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2011年 / 230卷 / 08期

基金：

瑞士国家科学基金会;

关键词：

Nonreflecting boundary conditions; Absorbing boundary conditions; Multiple scattering; Time dependent waves; Exterior evaluation; Far-field evaluation; PERFECTLY MATCHED LAYER; WAVE-EQUATION; FORMULATION;

D O I：

10.1016/j.jcp.2011.01.017

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Starting from from a high-order local nonreflecting boundary condition (NBC) for single scattering [25], we derive a local NBC for time-dependent multiple scattering problems in three space dimensions, which is completely local both in space and time. To do so, we first develop an exterior evaluation formula for a purely outgoing wave field, given its values and those of certain auxiliary functions needed for the local NBC at the artificial boundary. By combining that evaluation formula with the decomposition of the total scattered field into purely outgoing contributions, we obtain a completely local NBC for time-dependent multiple scattering problems. The accuracy and stability of this new local NBC are evaluated by coupling it to a standard finite difference method. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：3135 / 3154

页数：20

共 30 条

[1] Coupling of Dirichlet-to-Neumann boundary condition and finite difference methods in curvilinear coordinates for multiple scattering [J].