Adaptive Mesh Refinement - Theory and Applications

Part I. Scientific Computing

1. Computational Science “Same Old Silence, Same Old Mistakes” “Something More Is Needed ... ”
James J. Quirk

2. Massively Parallel Simulations with DOE?s ASCI Supercomputers: An Overview of the Los Alamos Crestone Project
Robert P. Weaver, Michael L. Gittings

Part II. Methods

3. Adaptive Mesh Refinement on Overlapping Grids
William D. Henshaw

4. A Dynamically Adaptive Arbitrary Lagrangian-Eulerian Method for Hydrodynamics
R. W. Anderson, R. B. Pember, N. S. Elliott

5. Front Tracking Algorithm Using Adaptively Refined Meshes
Zhiliang Xu, James Glimm, Xiaolin Li

6. An accuracy study of mesh refinement on mapped grids
D. Calhoun, R. J. LeVeque

7. Efficiency Gains from Time Refinement on AMR Meshes and Explicit Timestepping
L. J. Dursi, M. Zingale

8. Using Krylov-Schwarz methods in an adaptive mesh refinement environment
Kai Germaschewski, Amitava Bhattacharjee, Rainer Grauer, David Keyes, Barry Smith

9. Dimensional Split Divergence-Free Reconstruction and Prolongation for Adaptive Mesh Refinement
Shengtai Li, Hui Li

10. Multiresolution-based adaptive schemes for Hyperbolic Conservation Laws
Guillaume Chiavassa, Rosa Donat, Siegfried Müller

11. Multiresolution adaptive space refinement in geophysical fluid dynamics simulation
Aimé Fournier, Gregory Beylkin, Vani Cheruvu

12. Anisotropic mesh adaptivity in CFD
Stefano Micheletti, Simona Perotto

13. A Posteriori Error Estimation and Mesh Adaptivity for Finite Volume and Finite Element Methods
Timothy J. Barth

14. AMR for low Mach number reacting flow
John Bell

15. Simulations of Relativistic Astrophysical Flows
J. Bergmans, R. Keppens, D. E. A. Odyck, A. Achterberg

16. AMR applied to non-linear Elastodynamics
S. A. E. G. Falle

17. A Parallel AMR Implementation of The Discrete Ordinates Method for Radiation Transport
Louis H. Howell

18. Radiation Transport in AMR
P. Velarde, F. Ogando

Part III. Software

19. HERA: A Hydrodynamic AMR Platform for Multi-Physics Simulations
Hervé Jourdren

20. Parallel Multi-dimensional and Multi-material Eulerian Staggered Mesh Schemes using Localised Patched Based Adaptive Mesh Refinement (AMR) for Strong Shock Wave Phenomena.
A. S. Dawes

21. A general adaptive multi-resolution approach to ocean modelling: experiments in a primitive equation model of the north Atlantic
Debreu Laurent, Blayo Eric, Barnier Bernard

22. An Overview of the PARAMESH AMR Software Package and Some of Its Applications
Kevin M. Olson, Peter MacNeice

23. AstroBEAR: AMR for Astrophysical Applications - I: Methods
A. Poludnenko, P. Varniére, A. Cunningham, A. Frank, S. Mitran

24. Introducing Enzo, an AMR Cosmology Application
Brian W. O’shea, Greg Bryan, James Bordner, Michael L. Norman, Tom Abel, Robert Harkness, Alexei Kritsuk

25. Toward Optimizing Enzo, an AMR Cosmology Application
James Bordner

26. Construction and Application of an AMR Algorithm for Distributed Memory Computers
Ralf Deiterding

27. Adaptive Mesh Refinement in a Grid Computing Environment
G. C. Murphy, T. Lery, L. O’C. Drury

28. Performance of Vector/Parallel Orientated Hydrodynamic Code
Shigeki Miyaji, Ayato Noro, Tomoya Ogawa, Mitue Den, Kazuyuki Yamashita, Hiroyoshi Amo, Kazushi Furuta

29. On the efficiency of AMR in NIRVANA3
U. Ziegler

30. Dynamic Load Balancing of SAMR Applications
Zhiling Lan, Valerie E. Taylor

Part IV. Applications

31. The Impact of AMR in Numerical Astrophysics and Cosmology
Michael L. Norman

32. Recent Advances in the Collapse and Fragmentation of Turbulent Molecular Cloud Cores: The Formation of Low Mass Stars
Richard I. Klein, Robert T. Fisher, Christopher F. McKee, Mark Krumholz

33. 3D AMR Simulations of Point-Symmetric Nebulae
Erik-Jan Rijkhorst, Vincent Icke, Garrelt Mellema

34. Mesh Refinement Calculations of Gravitational Waves and Black Holes in 3-Dimensions
Dae-Il Dale Choi

35. AstroBEAR: AMR for Astrophysical Applications - II: Tests and Applications
P. Varniére, A. Poludnenko, A. Cunningham, A. Frank, S. Mitran

36. Parallel, AMR MHD for Global Space Weather Simulations
Kenneth G. Powell, Darren L. Zeeuw, Igor V. Sokolov, Gábor Tóth, Tamas I. Gombosi, Quentin Stout

37. Adaptive Mesh Refinement for MHD Fusion Applications
R. Samtaney, S. C. Jardin, P. Colella, D. F. Martin

38. AMR for global atmospheric modelling
N. Nikiforakis

39. Simulation of Vortex-Dominated Flows Using the FLASH Code
Vikram Dwarkadas, Tomek Plewa, Greg Weirs, Chris Tomkins, Mark Marr-Lyon

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