Parsimonious staggered grid finite‐differencing of the wave equation
Parsimonious staggered grid finite‐differencing of the wave equation
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DOI：
10.1029/gl017i002p00155
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发表时间：
1990-02
影响因子：
5.2
通讯作者：
Yi Luo;G. Schuster
中科院分区：
文献类型：
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作者：
Yi Luo;G. Schuster
提出了一种精简的交错网格差分方案，该方案比传统的交错网格差分方法需要更少的存储空间。对于三维弹性波传播，该方案仅存储位移分量，不存储应力分量，因此需要标准交错网格方法所需内存的66%。存储要求与Kelly et al.（1976）对二阶波动方程使用的2-2差分格式相同。它的优点是，它是稳定和准确的介质与流体弹性接触和广泛的泊松比。缺点是它的计算机编程比较复杂。
A parsimonious staggered grid differencing scheme is presented which requires less storage than the conventional staggered grid method. For three dimensional elastic wave propagation, this scheme only stores displacement components, not stress, and so requires 66% of the memory needed by the standard staggered grid method. The storage requirement is the same as the 2-2 differencing scheme used by Kelly et al. (1976) for the second-order wave equation. Its advantage is that it is stable and accurate for media with fluid-elastic contacts and for a wide range of Poisson ratios. A disadvantage is that its computer programming is more involved.