Abstract
We develop stable finite difference approximations for a multi-physics problem that couples elastic wave propagation in one domain to acoustic wave propagation in another domain. The approximation consists of one finite difference scheme in each domain together with discrete interface conditions that couple the two schemes. The finite difference approximations use summation-by-parts (SBP) operators, which lead to stability of the coupled problem. Furthermore, we develop a new way to enforce boundary conditions for SBP discretizations of first order problems. The new method, which uses ghost points to enforce the boundary conditions, is a flexible alternative to the more established projection and SAT methods.
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Acknowledgements
Work performed under the auspices of the U.S. Department of Energy by LLNL under contract DE-AC52-07NA27344. This is contribution LLNL-PROC-659087.
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Sjögreen, B., Petersson, N.A. (2015). Summation by Parts Finite Difference Approximations for Seismic and Seismo-Acoustic Computations. In: Kirby, R., Berzins, M., Hesthaven, J. (eds) Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014. Lecture Notes in Computational Science and Engineering, vol 106. Springer, Cham. https://doi.org/10.1007/978-3-319-19800-2_42
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DOI: https://doi.org/10.1007/978-3-319-19800-2_42
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-19799-9
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