A Stable Finite Difference Method for the Elastic Wave Equation on Complex Geometries with Free Surfaces

被引：2

作者：

Appeloe, Daniel ^{[1
]}

Petersson, N. Anders ^{[1
]}

机构：

[1] Lawrence Livermore Natl Lab, Ctr Appl & Sci Comp, Livermore, CA 94551 USA

来源：

COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2009年 / 5卷 / 01期

关键词：

Elastic wave equation; curvilinear grids; finite differences; stability; energy estimate; seismic wave propagation; SPECTRAL-ELEMENT; QUARTER PLANE; PROPAGATION; 2D; BOUNDARIES; SIMULATION; STABILITY; SCHEMES; MESHES;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A stable and explicit second order accurate finite difference method for the elastic wave equation in curvilinear coordinates is presented. The discretization of the spatial operators in the method is shown to be self-adjoint for free-surface, Dirichlet and periodic boundary conditions. The fully discrete version of the method conserves a discrete energy to machine precision.

引用

页码：84 / 107

页数：24

共 22 条

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