Grid Generation Methods
(Sprache: Englisch)
The book is an introduction to methods of grid generation technology in scientfic computing. Special attention is given to methods developed by the author for the treatment of singularly-perturbed equations, e.g. in modeling high Reynolds number flows....
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Klappentext zu „Grid Generation Methods “
The book is an introduction to methods of grid generation technology in scientfic computing. Special attention is given to methods developed by the author for the treatment of singularly-perturbed equations, e.g. in modeling high Reynolds number flows. Functionals of conformality, orthogonality, energy and alignment are discussed.
This book is an introduction to structured and unstructured grid methods in scientific computing, addressing graduate students, scientists as well as practitioners. Basic local and integral grid quality measures are formulated and new approaches to mesh generation are reviewed. In addition to the content of the successful first edition, a more detailed and practice oriented description of monitor metrics in Beltrami and diffusion equations is given for generating adaptive numerical grids. Also, new techniques developed by the author are presented, in particular a technique based on the inverted form of Beltrami's partial differential equations with respect to control metrics. This technique allows the generation of adaptive grids for a wide variety of computational physics problems, including grid clustering to given function values and gradients, grid alignment with given vector fields, and combinations thereof. Applications of geometric methods to the analysis of numerical grid behavior as well as grid generation based on the minimization of functionals of smoothness, conformality, orthogonality, energy, and alignment complete the second edition of this outstanding compendium on grid generation methods.
Lese-Probe zu „Grid Generation Methods “
This book is an introduction to structured and unstructured grid methods in scientific computing, addressing graduate students, scientists as well as practitioners. Basic local and integral grid quality measures are formulated and new approaches to mesh generation are reviewed. In addition to the content of the successful first edition, a more detailed and practice oriented description of monitor metrics in Beltrami and diffusion equations is given for generating adaptive numerical grids. Also, new techniques developed by the author are presented, in particular a technique based on the inverted form of Beltrami's partial differential equations with respect to control metrics. This technique allows the generation of adaptive grids for a wide variety of computational physics problems, including grid clustering to given function values and gradients, grid alignment with given vector fields, and combinations thereof. Applications of geometric methods to the analysis of numerical grid behavior as well as grid generation based on the minimization of functionals of smoothness, conformality, orthogonality, energy, and alignment complete the second edition of this outstanding compendium on grid generation methods.
Inhaltsverzeichnis zu „Grid Generation Methods “
General Considerations.- Coordinate Transformations.- Grid Quality Measures.- Stretching Method.- Algebraic Grid Generation.- Grid Generation Through Differential Systems.- Dynamic Adaptation.- Variational Methods.- Curve and Surface Grid Methods.- Comprehensive Method.- Unstructured Methods.
Bibliographische Angaben
- Autor: Vladimir D. Liseikin
- 1999, XVI, 362 Seiten, 48 Schwarz-Weiß-Abbildungen, Maße: 24,5 cm, Gebunden, Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3540656863
- ISBN-13: 9783540656869
Sprache:
Englisch
Rezension zu „Grid Generation Methods “
From the reviews "This book provides a comprehensive, outstanding theoretical account of many popular grid generation methods, especially for structured grids." (Mathematical Rezensions, 2000).
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