Unsplit perfectly matched layer for acoustic field simulation based on second-order wave equation  

作　　者：MA Youneng YU Jinhua WANG Yuanyuan 

机构地区：[1]National Key Laboratory of ASIC and System of Fudan University [2]Department of Electronic Engineering,Fudan University

出　　处：《Chinese Journal of Acoustics》2013年第4期323-332,共10页声学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(81101049,61271071);Shanghai Pujiang Talent Program(12PJ1401200);Doctoral Fund of Ministry of Education(20110071120019);Fudan University ASIC and System State Key Laboratory Project(11MS007)

摘　　要：The Perfectly Matched Layer （PML） is an effective absorbing boundary and has been widely used in acoustic simulation. In order to develop an absorbing boundary condition for numerical simulation based on the second-order acoustic wave equation, an Unsplit PML algorithm is proposed. Firstly, frequency-domain expression of this method is formulated based on the complex stretching coordinate schema. Then, its time-domain expression is derived by formulating auxiliary differential equations. Finally, relative theoretical analysis and numerical simulations are carried out, the results of which demonstrate that compared with the existing Split PMLs, the proposed method has the same absorbing efficiency and can reduce storage greatly. It can also increase calculation efficiency with easier implementation.The Perfectly Matched Layer （PML） is an effective absorbing boundary and has been widely used in acoustic simulation. In order to develop an absorbing boundary condition for numerical simulation based on the second-order acoustic wave equation, an Unsplit PML algorithm is proposed. Firstly, frequency-domain expression of this method is formulated based on the complex stretching coordinate schema. Then, its time-domain expression is derived by formulating auxiliary differential equations. Finally, relative theoretical analysis and numerical simulations are carried out, the results of which demonstrate that compared with the existing Split PMLs, the proposed method has the same absorbing efficiency and can reduce storage greatly. It can also increase calculation efficiency with easier implementation.

关 键 词：PML WAVE 

分 类 号：O175[理学—数学] O422.2[理学—基础数学]