Adaptive mesh refinement, theory and applications : proceedings of the Chicago Workshop on Adaptive Mesh Refinement Methods, Sept. 3-5, 2003 / Tomasz Plewa, Timur Linde, V. Gregory Weirs, editors
Computational Science "Same Old Silence, Same Old Mistakes" "Something More Is Needed ... "; Massively Parallel Simulations with DOE?s ASCI Supercomputers: An Overview of the Los Alamos Crestone Project; Adaptive Mesh Refinement on Overlapping Grids; A Dynamically Adaptive Arbitrary Lagrangian-Eulerian Method for Hydrodynamics; Front Tracking Algorithm Using Adaptively Refined Meshes; An accuracy study of mesh refinement on mapped grids; Efficiency Gains from Time Refinement on AMR Meshes and Explicit Timestepping; Using Krylov-Schwarz methods in an adaptive mesh refinement environment
Summary
Advanced numerical simulations that use adaptive mesh refinement (AMR) methods have now become routine in engineering and science. Originally developed for computational fluid dynamics applications these methods have propagated to fields as diverse as astrophysics, climate modeling, combustion, biophysics and many others. The underlying physical models and equations used in these disciplines are rather different, yet algorithmic and implementation issues facing practitioners are often remarkably similar. Unfortunately, there has been little effort to review the advances and outstanding issues
