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Adaptive Mesh Refinement - Theory and Applications

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

  • Conference proceedings
  • © 2005

Overview

Editors:
  1. Tomasz Plewa

    1. ASCI Flash Center Department of Astronomy and Astrophysics, University of Chicago, Chicago, USA

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  2. Timur Linde

    1. ASCI Flash Center Department of Astronomy and Astrophysics, University of Chicago, Chicago, USA

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  3. V. Gregory Weirs

    1. ASCI Flash Center Department of Astronomy and Astrophysics, University of Chicago, Chicago, USA

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Part of the book series: Lecture Notes in Computational Science and Engineering (LNCSE, volume 41)

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About this book

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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Table of contents (39 papers)

  1. Front Matter

    Pages I-XIV
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  3. Methods

    1. Adaptive Mesh Refinement on Overlapping Grids

      • William D. Henshaw
      Pages 59-71

    2. A Dynamically Adaptive Arbitrary Lagrangian-Eulerian Method for Hydrodynamics

      • R. W. Anderson, R. B. Pember, N. S. Elliott
      Pages 73-81

    3. Front Tracking Algorithm Using Adaptively Refined Meshes

      • Zhiliang Xu, James Glimm, Xiaolin Li
      Pages 83-89

    4. An accuracy study of mesh refinement on mapped grids

      • D. Calhoun, R. J. LeVeque
      Pages 91-101

    5. Efficiency Gains from Time Refinement on AMR Meshes and Explicit Timestepping

      • L. J. Dursi, M. Zingale
      Pages 103-113

    6. Using Krylov-Schwarz methods in an adaptive mesh refinement environment

      • Kai Germaschewski, Amitava Bhattacharjee, Rainer Grauer, David Keyes, Barry Smith
      Pages 115-124

    7. Dimensional Split Divergence-Free Reconstruction and Prolongation for Adaptive Mesh Refinement

      • Shengtai Li, Hui Li
      Pages 125-136

    8. Multiresolution-based adaptive schemes for Hyperbolic Conservation Laws

      • Guillaume Chiavassa, Rosa Donat, Siegfried Müller
      Pages 137-159

    9. Multiresolution adaptive space refinement in geophysical fluid dynamics simulation

      • Aimé Fournier, Gregory Beylkin, Vani Cheruvu
      Pages 161-170

    10. Anisotropic mesh adaptivity in CFD

      • Stefano Micheletti, Simona Perotto
      Pages 171-182

    11. A Posteriori Error Estimation and Mesh Adaptivity for Finite Volume and Finite Element Methods

      • Timothy J. Barth
      Pages 183-202

    12. AMR for low Mach number reacting flow

      • John Bell
      Pages 203-221

    13. Simulations of Relativistic Astrophysical Flows

      • J. Bergmans, R. Keppens, D. E. A. van Odyck, A. Achterberg
      Pages 223-233

    14. AMR applied to non-linear Elastodynamics

      • S. A. E. G. Falle
      Pages 235-253

    15. A Parallel AMR Implementation of The Discrete Ordinates Method for Radiation Transport

      • Louis H. Howell
      Pages 255-270

    16. Radiation Transport in AMR

      • P. Velarde, F. Ogando
      Pages 271-280
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Editors and Affiliations

  • ASCI Flash Center Department of Astronomy and Astrophysics, University of Chicago, Chicago, USA

    Tomasz Plewa, Timur Linde, V. Gregory Weirs

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