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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First Sentence:
Today it is fashionable to portray computation as the third leg of science, the other legs being the classical disciplines of experiment and theory. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
turbulent molecular cloud cores, refinement jumps, samr applications, transport sweeps, oct structure, flux registers, refined rectangle, error representation formulas, local adaptive mesh refinement, refinement ratio, fine grid values, structured amr, program folds, root grid, shock hydrodynamics, simulated core, coarse grid values, numerical divergence, grid hierarchy, adaptive mesh refinement algorithm, smoothness information, ablated mass, semilinear form, shock tube test, coarse cell Key Phrases - Capitalized Phrases (CAPs): (learn more)
Los Alamos, Lawrence Livermore National Laboratory, University of California, Department of Energy, New York, San Diego, James Bordner, Step Sweep, Cambridge University Press, Computational Astrophysics, International Symposium, Enzo Performance Monitoring System, International Conference, Academic Press, Astrophysical Journal, Eric Blayo, Galen Gisler, Lawrence Berkeley National Laboratory, Michael Gittings, Monthly Weather Review, National Laboratories, Parallel Orientated Hydrodynamic Code, Performance of Vector, Rayleigh Taylor, Think Parallel New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Today it is fashionable to portray computation as the third leg of science, the other legs being the classical disciplines of experiment and theory. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
turbulent molecular cloud cores, refinement jumps, samr applications, transport sweeps, oct structure, flux registers, refined rectangle, error representation formulas, local adaptive mesh refinement, refinement ratio, fine grid values, structured amr, program folds, root grid, shock hydrodynamics, simulated core, coarse grid values, numerical divergence, grid hierarchy, adaptive mesh refinement algorithm, smoothness information, ablated mass, semilinear form, shock tube test, coarse cell Key Phrases - Capitalized Phrases (CAPs): (learn more)
Los Alamos, Lawrence Livermore National Laboratory, University of California, Department of Energy, New York, San Diego, James Bordner, Step Sweep, Cambridge University Press, Computational Astrophysics, International Symposium, Enzo Performance Monitoring System, International Conference, Academic Press, Astrophysical Journal, Eric Blayo, Galen Gisler, Lawrence Berkeley National Laboratory, Michael Gittings, Monthly Weather Review, National Laboratories, Parallel Orientated Hydrodynamic Code, Performance of Vector, Rayleigh Taylor, Think Parallel New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 52
books:
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- Computational Partial Differential Equations by Hans P. Langtangen in Back Matter (1), Back Matter (2), and Back Matter (3)
- Meshfree Methods for Partial Differential Equations (Lecture Notes in Computational Science and Engineering) by Michael Griebel in Back Matter (1), and Back Matter (2)
- Numerical Recipes: The Art of Scientific Computing by William H. Press on page 170, and page 338
- Literate Programming (Center for the Study of Language and Information - Lecture Notes) by Donald E. Knuth on page 14, and page 27
- Numerical Methods in Fluid Dynamics (Lecture Notes in Mathematics) by E. F. Brezzi on page 181
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