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Finite Volume Methods for Wave Propagation in Elastic and Poroelastic Materials

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The Clawpack software (Conservation Law Package, www.clawpack.org) implements high-resolution finite volume methods for linear and nonlinear wave propagation problems. The algorithms are based on the solution of Riemann problems at the interfaces between grid cells. This is a natural approach to solving problems in heterogeneous media with material discontinuities, and can accurately capture reflected and transmitted waves. In this talk two applications will be discussed: 1) Nonlinear elastic waves in periodic structures,where dispersion introduced by reflections at material interfaces leads to the appearance of solitary waves. 2) Poroelastic models for wave propagation in a solid matrix permeated with a fluid, with application to the study of wave propagation in bone and extracorporeal shock wave therapy (ESWT).

This talk is part of the Laboratory for Scientific Computing series.

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