期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 227, 期 19, 页码 8753-8767出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2008.06.023
关键词
high-order finite difference methods; unstructured finite volume method; wave equation; numerical stability; second derivatives; discontinuous media; complex geometries
A time stable discretization is derived for the second-order wave equation with discontinuous coefficients. The discontinuity corresponds to inhomogeneity in the underlying medium and is treated by splitting the domain. Each (homogeneous) sub domain is discretized using narrow-diagonal summation by parts operators and, then, patched to its neighbors by using a penalty method, leading to fully explicit time integration. This discretization yields a time stable and efficient scheme. The analysis is verified by numerical simulations in one-dimension using high-order finite difference discretizations, and in three-dimensions using an unstructured finite volume discretization. (C) 2008 Elsevier Inc. All rights reserved.
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