Sinopsis
A practical guide to building adaptive computational grids that respond to the problem at hand. This book explains a variational approach to generate multidimensional meshes that stay smooth and avoid tangling while concentrating points where they matter most.
Written for engineers and scientists, it shows how to apply mesh adaptation across one, two, and three dimensions. The text blends theory with numerical results, illustrating how an adaptive grid can improve accuracy without overwhelming computational cost.
- How weight and smoothness functionals shape mesh distribution and guide adaptation
- Techniques to prevent mesh tangling and to handle complex boundaries
- Examples in two and three dimensions, including practical engineering scenarios
- Considerations for implementation, performance comparisons, and future directions
Ideal for readers of computational fluid dynamics and numerical methods seeking a flexible, principled way to resolve challenging problems with adaptive grids.
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Reseña del editor
Excerpt from A Variational Method for Generating Multidimensional Adaptive Grids
This paper discusses adaptive meshes that are generated by the use of variational principles. These adaptive meshes are used in conjunction with finite difference methods to continuously rezone calculations. The fixed number of mesh vertices are moved in a manner which enhances the numerical accuracy of these finite difference schemes when solving singular problems.
Adaptive 'meshes are the subject of a; rather large and varied research effort. However, a definition can be developed that encompasses most of the areas of research. An adaptive computation mesh is one that is generated in response to the structure of a problem so as to enhance the numerical accuracy of the associated differencing scheme. It is the method of generating the mesh that gives this area its diversity.
Several different methods of generating an adaptive mesh will be discussed. The methods can be categorized in many ways, but three categories are chosen here. They are fixed meshes, selectively refined meshes and moving meshes.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Reseña del editor
Excerpt from A Variational Method for Generating Multidimensional Adaptive Grids
Several different methods of generating an adaptive mesh will be discussed. The methods can be categorized in many ways, but three categories are chosen here. They are fixed meshes, selectively refined meshes and moving meshes.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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A Variational Method for Generating Multidimensional Adaptive Grids
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Paperback. Condición: New. Print on Demand. This book details a novel method for optimizing mesh size and placement within computational models to maximize precision and accuracy in numerical simulations. Focusing on adaptive gridding techniques in one, two, and three dimensions, the author demonstrates how the techniques may be applied across an array of scientific disciplines. From two-point boundary value problems through to relativistic astrophysics simulations, the book covers a broad range of topics. The author explores how to balance smoothness of the mesh and how to concentrate points at areas of particular interest in multidimensional situations. The book also discusses effective strategies to avoid mesh tangling-a particularly pernicious problem in multidimensional problems-and offers a detailed exposition of spatially adaptive mesh refinement. This book will be of great interest to applied mathematicians, numerical analysts, and computational scientists, across fields such as fluid dynamics, solid mechanics, and astrophysics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Nº de ref. del artículo: 9781333595029_0
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A Variational Method for Generating Multidimensional Adaptive Grids (Classic Reprint)
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A Variational Method for Generating Multidimensional Adaptive Grids (Classic Reprint)
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A Variational Method for Generating Multidimensional Adaptive Grids (Classic Reprint)
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ISBN 10: 1333595026
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