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 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.

Completely revised edition of this outstanding introduction into the most popular technologies for generating structured, unstructured and adaptive grids Now with detailed description of monitor metrics in Beltrami and diffusion equations Contains one of the most promising techniques of adaptive grid generation, based on the application of inverted Beltrami equations with respect to control metrics Includes supplementary material: sn.pub/extras

Contenu
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.