A Computational Differential Geometry Approach to Grid Generation. 2nd ed. 2007

種類:

電子ブック

責任表示:

by Vladimir D. Liseikin

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007

著者名:

• Liseikin, Vladimir D.
• SpringerLink (Online service)

シリーズ名:

Scientific Computation ;

ISBN:

9783540342366 [3540342362]    

注記:

Geometric Background to Grid Technology -- Introductory Notions -- General Coordinate Systems in Domains -- Geometry of Curves -- Multidimensional Geometry -- Algorithms and Applications of Advanced Grid Technology -- Comprehensive Grid Models -- Inverted Equations -- Numerical Implementation of Grid Generators.
The process of breaking up a physical domain into smaller sub-domains, known as meshing, facilitates the numerical solution of partial differential equations used to simulate physical systems. This monograph gives a detailed treatment of applications of geometric methods to advanced grid technology. It focuses on and describes a comprehensive approach based on the numerical solution of inverted Beltramian and diffusion equations with respect to monitor metrics for generating both structured and unstructured grids in domains and on surfaces. In this second edition the author takes a more detailed and practice-oriented approach towards explaining how to implement the method by: Employing geometric and numerical analyses of monitor metrics as the basis for developing efficient tools for controlling grid properties. Describing new grid generation codes based on finite differences for generating both structured and unstructured surface and domain grids. Providing examples of applications of the codes to the genera

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