Adaptive Mesh Refinement - Theory and Applications: Proceedings of the Chicago Workshop on Adaptive Mesh Refinement Methods, Sept. 3-5, 2003

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Tomasz Plewa, Timur Linde, V. Gregory Weirs
Springer Science & Business Media, Dec 8, 2004 - Mathematics - 554 pages
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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 of adaptive mesh refinement methods across such a variety of fields. 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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Contents

Same Old Silence Same Old Mistakes Something More Is Needed
3
An Overview of the Los Alamos Crestone Project
29
Methods
57
Adaptive Mesh Refinement on Overlapping Grids
59
A Dynamically Adaptive Arbitrary LagrangianEulerian Method for Hydrodynamics
73
Front Tracking Algorithm Using Adaptively Refined Meshes
83
An accuracy study of mesh refinement on mapped grids
91
Efficiency Gains from Time Refinement on AMR Meshes and Explicit Timestepping
103
An Overview of the PARAMESH AMR Software Package and Some of Its Applications
315
AMR for Astrophysical Applications I Methods
331
Introducing Enzo an AMR Cosmology Application
341
Toward Optimizing Enzo an AMR Cosmology Application
351
Construction and Application of an AMR Algorithm for Distributed Memory Computers
361
Adaptive Mesh Refinement in a Grid Computing Environment
373
Performance of VectorParallel Orientated Hydrodynamic Code
379
On the efficiency of AMR in NIRVANA3
391

Using KrylovSchwarz methods in an adaptive mesh refinement environment
115
Dimensional Split DivergenceFree Reconstruction and Prolongation for Adaptive Mesh Refinement
125
Multiresolutionbased adaptive schemes for Hyperbolic Conservation Laws
137
Multiresolution adaptive space refinement in geophysical fluid dynamics simulation
161
Anisotropic mesh adaptivity in CFD
171
A Posteriori Error Estimation and Mesh Adaptivity for Finite Volume and Finite Element Methods
183
AMR for low Mach number reacting flow
203
Simulations of Relativistic Astrophysical Flows
223
AMR applied to nonlinear Elastodynamics
235
A Parallel AMR Implementation of The Discrete Ordinates Method for Radiation Transport
255
Radiation Transport in AMR
271
Software
281
A Hydrodynamic AMR Platform for MultiPhysics Simulations
283
Parallel Multidimensional and Multimaterial Eulerian Staggered Mesh Schemes using Localised Patched Based Adaptive Mesh Refinement AMR for ...
295
experiments in a primitive equation model of the north Atlantic
303
Dynamic Load Balancing of SAMR Applications
403
Applications
411
The Impact of AMR in Numerical Astrophysics and Cosmology
413
The Formation of Low Mass Stars
431
3D AMR Simulations of PointSymmetric Nebulae
443
Mesh Refinement Calculations of Gravitational Waves and Black Holes in 3Dimensions
453
AMR for Astrophysical Applications II Tests and Applications
463
Parallel AMR MHD for Global Space Weather Simulations
473
Adaptive Mesh Refinement for MHD Fusion Applications
491
AMR for global atmospheric modelling
505
Simulation of VortexDominated Flows Using the FLASH Code
527
Color Plates
539
Index
551
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