Acoustic Wave Propagation in Complicated Geometries and Heterogeneous Media
Acoustic Wave Propagation in Complicated Geometries and Heterogeneous Media
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复杂几何形状和异质介质中的声波传播
DOI：
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发表时间：
2014
影响因子：
2.5
通讯作者：
K. Mattsson
中科院分区：
文献类型：
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作者：
Kristoffer Virta;K. Mattsson
我们构建了复杂几何形状和异质介质中声波方程的有限差分离散化。特别强调对底层媒体参数具有跳跃不连续性的界面的准确处理。通过将域细分为具有连续媒体的块来处理不连续媒体。然后使用满足分部求和性质的有限差分算子对每个块上的方程进行离散化，并通过联立近似项方法将其修补在一起。采用能量法以数据形式估计数值解的半范数，表明离散化是稳定的。二维和三维空间数值实验验证了该方案的准确性和稳定性。
We construct finite difference discretizations of the acoustic wave equation in complicated geometries and heterogeneous media. Particular emphasis is placed on the accurate treatment of interfaces at which the underlying media parameters have jump discontinuities. Discontinuous media is treated by subdividing the domain into blocks with continuous media. The equation on each block is then discretized with finite difference operators satisfying a summation-by-parts property and patched together via the simultaneous approximation term method. The energy method is used to estimate a semi-norm of the numerical solution in terms of data, showing that the discretization is stable. Numerical experiments in two and three spatial dimensions verifies the accuracy and stability properties of the schemes.