Finite-volume methods for non-linear elasticity in heterogeneous mediaReport as inadecuate

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1 University of Washington

Abstract : An approximate Riemann solver is developed for the equations of non-linear elasticity in a heterogeneous medium, where each grid cell has an associated density and stress–strain relation. The non-linear flux function is spatially varying and a wave decomposition of the flux difference across a cell interface is used to approximate the wave structure of the Riemann solution. This solver is used in conjunction with a high-resolution finite-volume method using the CLAWPACK software. As a test problem, elastic waves in a periodic layered medium are studied. Dispersive effects from the heterogeneity, combined with the non-linearity, lead to solitary wave solutions that are well captured by the numerical method.

Author: Randall J. Leveque -



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