A Variational Method for Generating Multidimensional Adaptive Grids
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 19.64
Quantity: Over 20 available
Add to basketItem description from seller
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.…
Seller Inventory # 9781333595029_0
- Title
- A Variational Method for Generating Multidimensional Adaptive Grids
- Author
- Jeffrey Saltzman
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1333595026
- ISBN 13
- 9781333595029
- Seller catalogs
- Calculus
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.
"Synopsis" may belong to another edition of this title.
Forgotten Books
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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