Numerical Methods for Wave Propagation

In May 1995 a meeting took place at the Manchester Metropolitan Uni­ versity, UK, with the title International Workshop on Numerical Methods for Wave Propagation Phenomena. The Workshop, which was attended by 60 scientists from 13 countries, was preceded by a short course enti­ tled High-Resolution Numerical Methods for Wave Propagation Phenom­ ena. The course participants could then join the Workshop and listen to discussions of the latest work in the field led by experts responsible for such developments. The present volume contains written versions of their contributions from the majority of the speakers at the Workshop. Professor Amiram Harten, but for his untimely death at the age of 50 years, would have been one of the speakers at the Workshop. His remarkable contributions to Numerical Analysis of Conservation Laws are commemo­ rated in this volume, which includes the text of the First Harten Memorial Lecture, delivered by Professor P. L. Roe from the University of Michigan in Ann Arbour, USA.

Inhalt

Preface. The Harten Memorial Lecture - New Applications of Upwinding; P.L. Roe. Multidimensional Upwinding with Grid Adaptation; M.J. Baines, M.E. Hubbard. Wave Propagation in Saturated Rigid Porous Media-Numerical Simulation and Comparison with Experiments; G. Ben-Dor, et al. Unsplit WAF-Type Schemes for Three-Dimensional Hyperbolic Conservation Laws; S.J. Billett, E.F. Toro. Semi-Implicit Methods for Free-Surface Environmental Flows; L. Bonaventura, V. Casulli. On Applications of High-Resolution Shock Capturing Methods to Unsteady Flows; D.M. Causon, et al. Wave Propagation Phenomena in the Theory of Sedimentation: Mathematical Theory of Gravitational Solid-Liquid Separation Processes; F. Concha, R. Bürger. Difference Approximations of Acoustic and Elastic Wave Equations; D.B. Duncan. Approximate Riemann Solvers for Fluid Flow with Material Interfaces; M.F. Göz, C.D. Munz. Formulation of the ECMWF Forecast Model; M. Hortal. A Level-Set Capturing Scheme for Compressible Interfaces; S. Karni. An Entropy Diminishing Criterion for Hyperbolic Conservation Laws; P.G. LeFloch. High-Resolution Methods for Relativistic Fluid Dynamics; J.M. Marti. Primitive, Conservative and Adaptive Schemes for Hyperbolic Conservation Laws; E.F. Toro.