Grid Generation Methods

Vladimir D. Liseikin (Autor)

Buch | Softcover

390 Seiten

2012 | Softcover reprint of hardcover 2nd ed. 2010
Springer (Verlag)
978-94-007-3078-6 (ISBN)

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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.

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.

Reihe/Serie	Scientific Computation
Zusatzinfo	48 Illustrations, black and white; XVIII, 390 p. 48 illus.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	adaptive grid • align grid • beltrami equation • cluster grid • control metrics • generating adaptive grid • generating structured grid • generating unstructured grid • GRID • grid alignment with vector fields • grid clustering to function values • grid generation • Grid generation methods • inverted form of Beltrami equation • Mesh Generation • monitor metrics • numerical grid • numerical grid behavior • structured grid • structured grid method • unstructured grid • unstructured grid method
ISBN-10	94-007-3078-0 / 9400730780
ISBN-13	978-94-007-3078-6 / 9789400730786
Zustand	Neuware