MUSTA-type upwind fluxes for non-linear elasticity

• Published in: International journal for numerical methods in engineering Vol. 73; no. 7; pp. 897 - 926
• Main Authors: Titarev, V. A., Romenski, E., Toro, E. F.
• Format: Journal Article
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 12.02.2008; Wiley
• Subjects: Computational techniques; EVILIN; Exact sciences and technology; FORCE; Fundamental areas of phenomenology (including applications); hyperbolic systems; Mathematical methods in physics; MUSTA; non-linear elasticity; Physics; Riemann problem; Solid mechanics; Static elasticity (thermoelasticity...); Structural and continuum mechanics; upwind numerical fluxes; WENO; Riemann problem; EVILIN; WENO; non-linear elasticity; Modeling; Upwind scheme; Non linear elasticity; FORCE; Hyperbolic equation; hyperbolic systems; upwind numerical fluxes; MUSTA; Finite difference method
• ISSN: 0029-5981; 1097-0207
• DOI: 10.1002/nme.2096

The present paper is devoted to the construction and comparative study of upwind methods as applied to the system of one‐dimensional non‐linear elasticity equations with particular attention to robustness and accurate resolution of delicate features such as linearly degenerate fields. Copyright © 2007 John Wiley & Sons, Ltd.