A modified and stable version of a perfectly matched layer technique for the 3-d second order wave equation in time domain with an application to aeroacoustics

被引：72
|
作者：
Kaltenbacher, Barbara [1 ]
Kaltenbacher, Manfred [2 ]
Sim, Imbo [3 ]
机构：
[1] Alpen Adria Univ Klagenfurt, Inst Appl Anal, Klagenfurt, Austria
[2] Vienna Univ Technol, Inst Mech & Mechatron, Vienna, Austria
[3] Alpen Adria Univ Klagenfurt, Inst Appl Mechatron, Klagenfurt, Austria
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2013年 / 235卷
基金：
奥地利科学基金会;
关键词：
Finite element method; Perfectly matched layer; Time-domain analysis; RADIATION BOUNDARY-CONDITIONS; FORMULATION; ORDER;
D O I：
10.1016/j.jcp.2012.10.016
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We consider the second order wave equation in an unbounded domain and propose an advanced perfectly matched layer (PML) technique for its efficient and reliable simulation. In doing so, we concentrate on the time domain case and use the finite-element (FE) method for the space discretization. Our un-split-PML formulation requires four auxiliary variables within the PML region in three space dimensions. For a reduced version (rPML), we present a long time stability proof based on an energy analysis. The numerical case studies and an application example demonstrate the good performance and long time stability of our formulation for treating open domain problems. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：407 / 422
页数：16
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