Grid Generation Methods

✍ Scribed by Vladimir D. Liseikin (auth.)

Publisher: Springer International Publishing
Year: 2017
Tongue: English
Leaves: 541
Series: Scientific Computation
Edition: 3
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This new edition provides a description of current developments relating to grid methods, grid codes, and their applications to actual problems. Grid generation methods are indispensable for the numerical solution of differential equations. Adaptive grid-mapping techniques, in particular, are the main focus and represent a promising tool to deal with systems with singularities. This 3rd edition includes three new chapters on numerical implementations (10), control of grid properties (11), and applications to mechanical, fluid, and plasma related problems (13). Also the other chapters have been updated including new topics, such as curvatures of discrete surfaces (3). Concise descriptions of hybrid mesh generation, drag and sweeping methods, parallel algorithms for mesh generation have been included too.This new edition addresses a broad range of readers: students, researchers, and practitioners in applied mathematics, mechanics, engineering, physics and other areas of applications.

✦ Table of Contents

Front Matter....Pages i-xx
General Considerations....Pages 1-46
Coordinate Transformations....Pages 47-85
Grid Quality Measures....Pages 87-125
Stretching Method....Pages 127-173
Algebraic Grid Generation....Pages 175-200
Variational Methods....Pages 255-291
Curve and Surface Grid Methods....Pages 293-323
Comprehensive Method....Pages 325-383
Numerical Implementations of Comprehensive Grid Generators....Pages 385-419
Control of Grid Properties....Pages 421-448
Unstructured Methods....Pages 449-479
Applications of Adaptive Grids to Solution of Problems....Pages 481-526
Back Matter....Pages 527-530

✦ Subjects

Numerical and Computational Physics, Simulation;Appl.Mathematics/Computational Methods of Engineering;Computational Science and Engineering;Mathematics of Computing

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