Adaptive Mesh Refinement - Theory and Applications (eBook)

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

Tomasz Plewa, Timur Linde, V. Gregory Weirs (Herausgeber)

eBook Download: PDF

2005
XIV, 554 Seiten
Springer Berlin (Verlag)
978-3-540-27039-3 (ISBN)

Infos

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.

Inhalt

Preface 5
List of Participants 7
Contents 10
Part I Scientific Computing 14
Computational Science 15
Massively Parallel Simulations with DOE’s ASCI Supercomputers: An Overview of the Los Alamos Crestone Project 41
Part II Methods 69
Adaptive Mesh Refinement on Overlapping Grids 70
A Dynamically Adaptive Arbitrary Lagrangian-Eulerian Method for Hydrodynamics 83
Front Tracking Algorithm Using Adaptively Refined Meshes 92
An accuracy study of mesh refinement on mapped grids 99
Efficiency Gains from Time Refinement on AMR Meshes and Explicit Timestepping 110
Using Krylov-Schwarz methods in an adaptive mesh refinement environment 121
Dimensional Split Divergence-Free Reconstruction and Prolongation for Adaptive Mesh Refinement 131
Multiresolution-based adaptive schemes for Hyperbolic Conservation Laws 143
Multiresolution adaptive space refinement in geophysical fluid dynamics simulation 166
Anisotropic mesh adaptivity in CFD 176
A Posteriori Error Estimation and Mesh Adaptivity for Finite Volume and Finite Element Methods 188
AMR for low Mach number reacting flow 208
Simulations of Relativistic Astrophysical Flows 227
AMR applied to non-linear Elastodynamics 238
A Parallel AMR Implementation of The Discrete Ordinates Method for Radiation Transport 257
Radiation Transport in AMR 273
Part III Software 283
HERA: A Hydrodynamic AMR Platform for Multi-Physics Simulations 284
Parallel Multi-dimensional and Multi-material Eulerian Staggered Mesh Schemes using LocalisedPatched Based Adaptive Mesh Refinement (AMR) for Strong Shock Wave Phenomena. 296
A general adaptive multi-resolution approach to ocean modelling: experiments in a primitive equation model of the north Atlantic 304
An Overview of the PARAMESH AMR Software Package and Some of Its Applications 315
AstroBEAR: 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 360
Adaptive Mesh Refinement in a Grid Computing Environment 372
Performance of Vector/Parallel Orientated Hydrodynamic Code 377
On the efficiency of AMR in NIRVANA3 389
Dynamic Load Balancing of SAMR Applications 400
Part IV Applications 408
The Impact of AMR in Numerical Astrophysics and Cosmology 409
Recent Advances in the Collapse and Fragmentation of Turbulent Molecular Cloud Cores: The Formation of Low Mass Stars 427
3D AMR Simulations of Point-Symmetric Nebulae 439
Mesh Refinement Calculations of Gravitational Waves and Black Holes in 3-Dimensions 449
AstroBEAR: AMR for Astrophysical Applications - II: Tests and Applications 458
Parallel, AMR MHD for Global Space Weather Simulations 468
Adaptive Mesh Refinement for MHD Fusion Applications 486
AMR for global atmospheric modelling 499
Simulation of Vortex–Dominated Flows Using the FLASH Code 520
Color Plates 531
Index 541

Produkt-Details

• Erscheint lt. Verlag: 20.12.2005
• Reihe/Serie: Lecture Notes in Computational Science and Engineering
• Reihe/Serie: Lecture Notes in Computational Science and Engineering
• Zusatzinfo: XIV, 554 p. 275 illus., 11 illus. in color.
• Verlagsort: Berlin
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Themenwelt: Technik
• Schlagworte: Adaptive mesh refinement • algorithms • AMR • CFD • Computational Physics • Modeling • Numerical Methods • Scientific Computing
• ISBN-10: 3-540-27039-6 / 3540270396
• ISBN-13: 978-3-540-27039-3 / 9783540270393