Unsplit complex frequency-shifted PML implementation using auxiliary differential equations for seismic wave modeling
Unsplit complex frequency-shifted PML implementation using auxiliary differential equations for seismic wave modeling
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DOI：
10.1190/1.3463431
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发表时间：
2010-07
期刊：
影响因子：
3.3
通讯作者：
Wei Zhang;Yang Shen
中科院分区：
文献类型：
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作者：
Wei Zhang;Yang Shen
复频移完全匹配层（CFS-PML）技术可以有效地吸收近掠入射波。在地震波模拟中，CFS-PML已通过一阶精度卷积PML技术或二阶精度递归卷积PML技术实现。两者都使用不同的算法比数值方案的内部域更新辅助记忆变量的PML，因此不能直接使用高阶时间推进计划。我们使用辅助微分方程（ADEs）来更新辅助存储器变量的非分裂场CFS-PML实现。这种ADE CFS-PML导致完全的一阶微分方程。因此，内域的数值格式可用于求解ADE CFS-PML方程。我们已经实现了ADE CFS-PML的时域有限差分法和交错网格有限差分法与四阶龙格库塔格式，证明其简单的实现。
The complex-frequency-shifted perfectly matched layer (CFS-PML) technique can efficiently absorb near-grazing incident waves. In seismic wave modeling, CFS-PML has been implemented by the first-order-accuracy convolutional PML technique or second-order-accuracy recursive convolution PML technique. Both use different algorithms than the numerical scheme for the interior domain to update auxiliary memory variables in the PML and thus cannot be used directly with higher-order time-marching schemes. We work with an unsplit-field CFS-PML implementation using auxiliary differential equations (ADEs) to update the auxiliary memory variables. This ADE CFS-PML results in complete first-order differential equations. Thus, the numerical scheme for the interior domain can be used to solve ADE CFS-PML equations. We have implemented ADE CFS-PML in the finite-difference time-domain method and in anonstaggered-grid finite-difference method with the fourth-order Runge-Kutta scheme, demonstrating its straightforward impleme...