High order finite difference methods for wave propagation in discontinuous media

High order finite difference methods for wave propagation in discontinuous media

High order finite difference approximations are derived for the second order wave equation with discontinuous coefficients, on rectangular geometries. The discontinuity is treated by splitting the domain at the discontinuities in a multi block fashion. Each sub-domain is discretized with compact sec...

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Veröffentlicht in:Journal of computational physics 2006-12, Vol.220 (1), p.249-269
Hauptverfasser: Mattsson, Ken, Nordström, Jan
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Approximation
Blocking
Computational techniques
Computer science
Datavetenskap
Derivatives
Discontinuity
Discontinuous media
Exact sciences and technology
Finite difference method
High order finite difference methods
Information technology
Informationsteknik
MATEMATIK
Mathematical analysis
Mathematical methods in physics
Mathematical models
MATHEMATICS
Numerical stability
Physics
Second derivatives
TECHNOLOGY
TEKNIKVETENSKAP
Tillämpad matematik
Wave equation
Wave propagation
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Beschreibung
Zusammenfassung:High order finite difference approximations are derived for the second order wave equation with discontinuous coefficients, on rectangular geometries. The discontinuity is treated by splitting the domain at the discontinuities in a multi block fashion. Each sub-domain is discretized with compact second derivative summation by parts operators and the blocks are patched together to a global domain using the projection method. This guarantees a conservative, strictly stable and high order accurate scheme. The analysis is verified by numerical simulations in one and two spatial dimensions.
ISSN:0021-9991
1090-2716
1090-2716
DOI:10.1016/j.jcp.2006.05.007