Adaptive Mesh Refinement-Theory and Applications

Adaptive Mesh Refinement-Theory and Applications

English | 12 Jan. 2005 | ISBN: 3540211470 | 576 Pages | PDF | 15 MB

The past two decades have seen an unprecedented rise of advanced numerical computations in science. At the forefront of these advances are adaptive mesh refinement (AMR) methods for solving multi-scale problems that arise in a wide range of scientific disciplines. Originally developed for computational fluid dynamics (CFD) applications these methods have propagated to fields as diverse as astrophysics, climate modeling, combustion, biophysics and many others. While the underlying models and equations used in these fields are very different, practitioners from diverse disciplines face many similar algorithmic and implementation concerns. However, because of such diversity, there has been little effort to review the advances and outstanding issues of AMR across disciplines. This book attempts to bridge this gap. The book presents a collection of papers by experts in the field of AMR who analyze past advances in the field and evaluate the current state of adaptive mesh refinement methods in scientific computing.

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