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

Appelö, Daniel and Petersson, N. Anders (2009) A Stable Finite Difference Method for the Elastic Wave Equation on Complex Geometries with Free Surfaces. Communications in Computational Physics, 5 (1). pp. 84-107. ISSN 1815-2406. https://resolver.caltech.edu/CaltechAUTHORS:APPccp09

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Abstract

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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://www.global-sci.com/issue/abstract/readabs.php?vol=5&page=84&issue=1&ppage=107&year=2009PublisherUNSPECIFIED
Additional Information:2009 © Copyright Global Science Press. Received 3 January 2008; Accepted (in revised version) 6 May 2008. Available online 15 July 2008. The authors would like to thank Björn Sjögreen and William Henshaw for stimulating discussions. This work performed under the auspices of the U.S. Department of Energy by Lawrence Livermore National Laboratory under Contract DE-AC52-07NA27344.
Funders:
Funding AgencyGrant Number
Department of EnergyDE-AC52-07NA27344
Subject Keywords:Elastic wave equation, curvilinear grids, finite differences, stability, energy estimate, seismic wave propagation
Issue or Number:1
Record Number:CaltechAUTHORS:APPccp09
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:APPccp09
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:13205
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:02 Feb 2009 20:31
Last Modified:03 Oct 2019 00:35

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