| 常规分裂和非分裂完全匹配层吸收边界比较研究 |
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| 引用本文： | 李佩笑, 林伟军, 张秀梅, 王秀明. 常规分裂和非分裂完全匹配层吸收边界比较研究[J]. 声学学报, 2015, 40(1): 44-53. DOI: 10.15949/j.cnki.0371-0025.2015.01.006 |
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| 作者姓名： | 李佩笑 林伟军 张秀梅 王秀明 |
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| 作者单位： | 1.声场与声信息国家重点实验室 中国科学院声学研究所 北京 100190 |
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| 基金项目： | 国家重点基础研究发展计划项目(2011CB707901)、国家自然科学基金重点基金(11134011)和国家自然科学基金(41274134)资助 |
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| 摘 要： | 分别对常规分裂和非分裂完全匹配层吸收边界在完全弹性介质和孔隙介质的应用效果进行了比较研究。比较了两种吸收边界应用于完全弹性介质和孔隙介质所需计算量、存储量大小以及吸收效果。为比较吸收效果,首先给出两种吸收边界下声场快照图的比较,然后利用吸收边界附近的接收点波形,计算和分析了两种吸收边界在固定入射角度处随时间变化的边界反射幅度,以及对不同入射角度声波的边界反射系数。研究结果表明,无论是完全弹性介质还是孔隙介质,常规非分裂完全匹配层吸收边界比分裂完全匹配层吸收边界对垂直入射乃至一般入射角度的声波都有更好的吸收效果,但需要更大的存储量和计算量。
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| 关 键 词： | 数值模拟，吸收边界，完全匹配层，有限差分 |
| 收稿时间： | 2013-04-13 |
| 修稿时间： | 2013-11-01 |
Comparisons for regular splitting and non-splitting perfectly matched layer absorbing boundary conditions |
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| LI Peixiao, LIN Weijun, ZHANG Xiumei, WANG Xiuming. Comparisons for regular splitting and non-splitting perfectly matched layer absorbing boundary conditions[J]. ACTA ACUSTICA, 2015, 40(1): 44-53. DOI: 10.15949/j.cnki.0371-0025.2015.01.006 |
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| Authors: | LI Peixiao LIN Weijun ZHANG Xiumei WANG Xiuming |
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| Affiliation: | 1.State key laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences Beijing 100190 |
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| Abstract: | Two different perfectly matched layer (PML), including regular splitting PML (SPML) and non-splitting PML (NPML) which are applied in elastic media and poroelastic media are compared in computational cost, storage consumption and absorption effect. In order to compare the absorption effect, the wavefield snapshots of the two PMLs are shown, then the boundary reflection amplitude with the variation of time under a fixed angle of incidence is caculated and analysed using the waveforms near the absorbing boundary, and the boundary reflection coefficients varing with the incident angle is caculated. The simulation indicates that for both the elastic and poroelastic media, NPML can absorb waves more efficiently than SPML, especially when the incident angle is small, but NPML has a lager calculational complexity and storage cost. |
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| Keywords: | Numerical modeling |
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