A Computational Differential Geometry Approach to Grid by Vladimir D. Liseikin

By Vladimir D. Liseikin

The means of breaking apart a actual area into smaller sub-domains, referred to as meshing, allows the numerical resolution of partial differential equations used to simulate actual platforms. In an up to date and elevated moment version, this monograph offers a close therapy in response to the numerical resolution of inverted Beltramian and diffusion equations with recognize to observe metrics for producing either based and unstructured grids in domain names and on surfaces.

Show description

Read or Download A Computational Differential Geometry Approach to Grid Generation PDF

Similar counting & numeration books

Number Theory: Volume II: Analytic and Modern Tools

This ebook offers with numerous points of what's now referred to as ''explicit quantity conception. '' The primary subject matter is the answer of Diophantine equations, i. e. , equations or structures of polynomial equations which needs to be solved in integers, rational numbers or extra normally in algebraic numbers. This topic, particularly, is the primary motivation for the fashionable conception of mathematics algebraic geometry.

Monte Carlo Strategies in Scientific Computing

This ebook offers a self-contained and up to date remedy of the Monte Carlo strategy and develops a standard framework below which a variety of Monte Carlo strategies should be "standardized" and in comparison. Given the interdisciplinary nature of the themes and a reasonable prerequisite for the reader, this e-book might be of curiosity to a extensive viewers of quantitative researchers reminiscent of computational biologists, laptop scientists, econometricians, engineers, probabilists, and statisticians.

Automatic nonuniform random variate generation

"Being precise in its total association the ebook covers not just the mathematical and statistical idea but additionally offers with the implementation of such tools. All algorithms brought within the e-book are designed for functional use in simulation and feature been coded and made on hand by way of the authors.

Mathematical Analysis, Approximation Theory and Their Applications

Designed for graduate scholars, researchers, and engineers in arithmetic, optimization, and economics, this self-contained quantity offers thought, tools, and purposes in mathematical research and approximation thought. particular themes contain: approximation of features through linear optimistic operators with purposes to computing device aided geometric layout, numerical research, optimization conception, and options of differential equations.

Extra info for A Computational Differential Geometry Approach to Grid Generation

Sample text

15) was justified by Thompson, Thames, and Mastin (1974) and Tompson, Warsi, and Mastin (1985) in their monograph. 15) was developed by Steger and Sorenson (1979), Visbal and Knight (1982), and White (1990). Thomas and Middlecoff (1980) described a procedure to control the local angle of intersection between transverse grid lines and the boundary through the specification of the control functions. Control of grid spacing and orthogonality was performed by Tamamidis and Assanis (1991) by introducing a distortion function (the ratio of the diagonal metric elements) into the system of Poisson equations.

The possibility of using harmonic function theory to provide a general framework for developing multidimensional mesh generators was discussed by Dvinsky (1991). A detailed survey of the theory of harmonic mappings was published by Eells and Lenaire (1988). The interpretation of the functional of diffusion as a version of the energy functional was presented by Brackbill (1993). 4 Comprehensive Codes A comprehensive grid generation code is an effective system for generating structured and unstructured grids, as well as hybrid and overset combinations, in arbitrary physical geometries.

15) by giipi (i fixed) to improve the numerical behavior of the grid generator. As a result the modified system acquired the property of satisfying the maximum principle. e, ... 16) was proposed by Lin and Shaw (1991) to generate nearly orthogonal grids, while Soni, et al. (1993) used a specification of the control functions for this purpose. The use of generalized Laplace equations to generate surface grids was proposed by Warsi (1982), in analogy with the widely utilized Laplace grid generator of Crowley (1962) and Winslow (1967).

Download PDF sample

Rated 4.71 of 5 – based on 49 votes