Grid Generation Methods

This is a fully revised and updated second edition of the introduction to structured and unstructured grid methods in scientific computing. It formulates basic local and integral grid quality measures and reviews fresh approaches to mesh generation.

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.

Offers a detailed and updated discussion of grid-mapping techniques Includes new chapters devoted to the implementation into numerical codes and application to mechanical, fluid, and plasma related problems Emphasizes the mathematical formulation of various aspects of grid generation methods Includes supplementary material: sn.pub/extras Includes supplementary material: sn.pub/extras

Contenu
General Considerations.- Coordinate Transformations.- Grid Quality Measures.- Stretching Method.- Algebraic Grid Generation.- Grid Generation Through Differential Systems.- Variational Methods.- Curve and Surface Grid Methods.- Comprehensive Method.- Numerical Implementations of Comprehensive Grid Generators.- Control of Grid Properties.- Unstructured Methods.- Applications of Adaptive Grids to Solution of Problems.- References.- Index.