A Computational Differential Geometry Approach to Grid Generation

• Main Author: Liseikin, Vladimir D. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Edition: Second Edition.
• Series: Scientific Computation,
• Subjects: Physics.; Computer science > Mathematics.; Computer mathematics.; Differential geometry.; Continuum physics.; Numerical and Computational Physics.; Math Applications in Computer Science.; Computational Mathematics and Numerical Analysis.; Differential Geometry.; Mathematical Methods in Physics.; Classical Continuum Physics.

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....

Table of Contents:

• 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.