Acoustic Wave Propagation in Complicated Geometries and Heterogeneous Media

被引：0
作者：
Kristoffer Virta
Ken Mattsson
机构：
[1] Uppsala University,Division of Scientific Computing, Department of Information Technology
来源：
Journal of Scientific Computing | 2014年 / 61卷
关键词：
Acoustic wave equation; Curvilinear grids; High order methods; Strong stability; Energy estimates; SBP–SAT;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：90 / 118
页数：28
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