Elastic wave propagation in curvilinear coordinates with mesh refinement interfaces by a fourth order finite difference method
2021 (English)In: SIAM Journal on Scientific Computing, ISSN 1064-8275, E-ISSN 1095-7197, Vol. 43, no 2, p. A1472-A1496Article in journal (Refereed) Published
Abstract [en]
We develop a fourth order accurate finite difference method for the three dimensional elastic wave equation in isotropic media with the piecewise smooth material property. In our model, the material property can be discontinuous at curved interfaces. The governing equations are discretized in second order form on curvilinear meshes by using a fourth order finite difference operator satisfying a summation-by-parts property. The method is energy stable and high order accurate. The highlight is that mesh sizes can be chosen according to the velocity structure of the material so that computational efficiency is improved. At the mesh refinement interfaces with hanging nodes, physical interface conditions are imposed by using ghost points and interpolation. With a fourth order predictor-corrector time integrator, the fully discrete scheme is energy conserving. Numerical experiments are presented to verify the fourth order convergence rate and the energy conserving property.
Place, publisher, year, edition, pages
Society for Industrial and Applied Mathematics Publications , 2021. Vol. 43, no 2, p. A1472-A1496
Keywords [en]
Elastic wave equations, Finite difference methods, Nonconforming mesh refinement, Summationby- parts, Three space dimensions, Computational efficiency, Elastic waves, Energy conservation, Mesh generation, Wave propagation, Curvilinear coordinate, Finite difference operators, Fourth order convergence, Fourth-order finite difference method, Fully discrete scheme, Governing equations, Numerical experiments, Predictor corrector, Finite difference method
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-54279DOI: 10.1137/20M1339702ISI: 000646026400036Scopus ID: 2-s2.0-85105889394OAI: oai:DiVA.org:mdh-54279DiVA, id: diva2:1557794
2021-05-272021-05-272021-06-03Bibliographically approved