A Discontinuous Galerkin method with a modified penalty flux for the propagation and scattering of acousto-elastic waves
| Autor: | Lucas C. Wilcox, Maarten V. de Hoop, Christopher Petrovitch, Ruichao Ye, Laura J. Pyrak-Nolte |
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| Přispěvatelé: | Naval Postgraduate School (U.S.), Applied Mathematics |
| Rok vydání: | 2015 |
| Předmět: |
Seismic anisotropy
Discretization Wave propagation Scattering Mathematical analysis Boundary (topology) FOS: Physical sciences 010103 numerical & computational mathematics Weak formulation Computational Physics (physics.comp-ph) 010502 geochemistry & geophysics 01 natural sciences Geophysics (physics.geo-ph) Physics - Geophysics Geophysics Classical mechanics Geochemistry and Petrology Discontinuous Galerkin method 0101 mathematics Anisotropy Physics - Computational Physics 0105 earth and related environmental sciences Mathematics |
| DOI: | 10.48550/arxiv.1511.00675 |
| Popis: | We develop an approach for simulating acousto-elastic wave phenomena, including scattering from fluid-solid boundaries, where the solid is allowed to be anisotropic, with the Discontinuous Galerkin method. We use a coupled first-order elastic strain-velocity, acoustic velocity-pressure formulation, and append penalty terms based on interior boundary continuity conditions to the numerical (central) flux so that the consistency condition holds for the discretized Discontinuous Galerkin weak formulation. We incorporate the fluid-solid boundaries through these penalty terms and obtain a stable algorithm. Our approach avoids the diagonalization into polarized wave constituents such as in the approach based on solving elementwise Riemann problems. Comment: 43 pages, 30 figures |
| Databáze: | OpenAIRE |
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