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声波数值模拟中改进的非分裂式pml边界条件

Keywords: 完全匹配层,吸收边界条件,npml,声波,数值模拟

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Abstract:

?如今完全匹配层(pml)吸收边界条件被认为是最好的吸收边界条件,但常规pml吸收边界条件存在变量个数多、计算存储量大、编程复杂以及场源靠近截断边界时吸收性能有所下降等缺点。本文推导出一种适用于声波方程改进的非分裂式(npml)吸收边界条件。该方法基于非分裂式pml吸收边界条件,采用复频移伸展函数,将pml介质中的波动方程分解为正常项和衰减项并单独进行迭代更新。分析和试验结果表明该方法应用于声波数值模拟时不但具有优良的吸收衰减性能,而且有计算方程简单、编程实现容易、pml辅助变量占内存小等优点。

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