Finite Volumes for Complex Applications III (v. 3)

Scientific computing, which involves the analysis of complex systems in real applications with numerical simulations, is an important area of research in itself, in relation to theoretical investigations and physical experiments. In many cases, the underlying mathematical models consist of large systems of partial differential equations, which have to be solved with high accuracy and efficiency. Among the successful methods, in particular for discretizations on unstructured grids, are the Finite Volumes schemes. This publication contains the contributions presented at the third symposium on Finite Volumes for Complex Applications, held in Porquerolles in June 2002. After a critical review of the submitted papers, 96 papers by authors from over 20 countries are presented in this volume. The subject of these papers ranges from theoretical and numerical results such as theoretical foundation and validation, adaptivity in space and time, higher-order discretization and parallelization, to physical applications, such as multiphase flow and flows through porous media, magnetohydrodynamics, reacting and turbulent flows, elastic structures, granular avalanches and image processing. The first symposium of this series was held in Rouen in 1996 and the second in Duisburg in 1999. These were reported in the previous two volumes in the series.