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Application of convolution perfectly matched layer in finite element method calculation for 2D acoustic wave

Application of convolution perfectly matched layer in finite element method calculation for 2D acoustic wave

作     者:LI Yifeng LIN Zhiqi LI Guofeng WANG Yun 

作者机构:College of Electronics and Information Engineering NanJing Univ. of Technology NanJing 210009 College of Electrical and Electronic Engineering ChangChun Univ. of Technology ChangChun 130012) Institute of Phys. and Electronics and Info. Engineering LangFang Teachers College LangFang 065000 Institute of Mathematics and Information Sciences LangFang Teachers College LangFang 065000 

出 版 物:《Chinese Journal of Acoustics》 (声学学报(英文版))

年 卷 期:2012年第31卷第1期

页      面:18-28页

学科分类:07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基  金:supported by the National Natural Science Foundation of China(No.11104142) 

主  题:卷积完全匹配层 有限元计算 声波方程 有限元方法 二维 有限元分析软件 应用 高效吸收 

摘      要:A method was presented to extend the Convolution Perfectly Matched Layer (CPML), which bases on the complex coordinates transformation and complex frequency shifted stretched- coordinate metrics, to the 2D acoustic equation calculated with the method of Finite Element Method (FEM). This non-physical layer is used at the computational edge of a FEM as an Ab- sorbing Boundary Condition (ABC) to truncate unbounded media. In this paper, the CPML equations have been presented in frequency domain and in time domain, respectively, and the calculations have been realized in the FEM software of COMSOL. The main advantage of CPML over the classical PML layer is that it is based on the unsplit components of the wave field leading to a more stable, highly effective absorption and a more facility to realize. The results of numerical simulation demonstrate that CPML has better absorbability than PML and it absorbs the out^oin~ energy more effectivelv.

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