卷积完全匹配层在二维声波吸收流体介质中的有限元计算

李义丰;汪胜祥

振动与冲击 ›› 2012, Vol. 31 ›› Issue (6) : 166-170,.

PDF(1431 KB)
PDF(1431 KB)
振动与冲击 ›› 2012, Vol. 31 ›› Issue (6) : 166-170,.
论文

卷积完全匹配层在二维声波吸收流体介质中的有限元计算

  • 李义丰1; 汪胜祥2
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Convolution Perfectly Matched Layer (CPML) in FEM calculation for 2D acoustic wave in absorptive fluid media

  • LI Yi-feng1 ; WangSheng-xiang2
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摘要

将基于复坐标变换和复频移扩展坐标变量的卷积完全匹配层Convolution Perfectly Machted Layer (CPML)引入到二维吸收流体介质声波方程的有限元(FEM)计算中,其作为一种吸收边界条件应用在了数值计算的边界截断上。与传统的PML相比,CPML的优势在于它不需要把场方程分裂开,使待求解方程的数目减少,并使其具有更好的稳定性和更高的吸收性能。文中给出了二维吸收声波的频域和时域CPML方程,并在有限元计算软件COMSOL中完成数值计算。结果表明,CPML边界层能有效吸收损耗流体介质中的声波,能有效衰减了进入其中的声场能量。

Abstract

A method is presented to extend the Convolution Perfectly Matched Layer (CPML), which bases 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) for absorptive fulid media. The main advantage of CPML over the classical PML layer is that it is based on the unsplit components of the wave field, which reduces the number of equations and leads to a more stable, highly effective absorption. 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 results of numerical simulation in time domain demonstrate that CPML absorbs effectively the outgoing energy for the absorptive fluid media.

关键词

CPML / FEM / 吸收流体

Key words

CPML / FEM / absorptive fluid media

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导出引用
李义丰;汪胜祥 . 卷积完全匹配层在二维声波吸收流体介质中的有限元计算[J]. 振动与冲击, 2012, 31(6): 166-170,
LI Yi-feng;WangSheng-xiang. Convolution Perfectly Matched Layer (CPML) in FEM calculation for 2D acoustic wave in absorptive fluid media [J]. Journal of Vibration and Shock, 2012, 31(6): 166-170,

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