δ-mapping algorithm coupled with WENO reconstruction for nonlinear elasticity in heterogeneous media

Authors:
Zhenli Xu;Peng Zhang;Ruxun Liu
Affiliations:
Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, PR China;Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, PR China;Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, PR China
Venue:
Applied Numerical Mathematics
Year:
2007

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Abstract

A newly proposed δ-mapping algorithm is extended to solve compressional elastic wave propagation in nonlinear heterogeneous media, which is characterized by spatially varying flux functions. The algorithm is coupled with the weighted essentially non-oscillatory (WENO) reconstruction so that the property of high-accuracy is preserved. Without the δ-mapping procedure, in contrast, the direct application of the WENO scheme is indicated to be deficient.