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Basic Structured Grid Generation

Basic Structured Grid Generation
Author: M Farrashkhalvat
Publisher: Elsevier
Total Pages: 242
Release: 2003-02-11
Genre: Mathematics
ISBN: 0080472087

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Finite element, finite volume and finite difference methods use grids to solve the numerous differential equations that arise in the modelling of physical systems in engineering. Structured grid generation forms an integral part of the solution of these procedures. Basic Structured Grid Generation provides the necessary mathematical foundation required for the successful generation of boundary-conforming grids and will be an important resource for postgraduate and practising engineers.The treatment of structured grid generation starts with basic geometry and tensor analysis before moving on to identify the variety of approaches that can be employed in the generation of structured grids. The book then introduces unstructured grid generation by explaining the basics of Delaunay triangulation and advancing front techniques. A practical, straightforward approach to this complex subject for engineers and students. A key technique for modelling physical systems.


Handbook of Grid Generation

Handbook of Grid Generation
Author: Joe F. Thompson
Publisher: CRC Press
Total Pages: 1136
Release: 1998-12-29
Genre: Technology & Engineering
ISBN: 9781420050349

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Handbook of Grid Generation addresses the use of grids (meshes) in the numerical solutions of partial differential equations by finite elements, finite volume, finite differences, and boundary elements. Four parts divide the chapters: structured grids, unstructured girds, surface definition, and adaption/quality. An introduction to each section provides a roadmap through the material. This handbook covers: Fundamental concepts and approaches Grid generation process Essential mathematical elements from tensor analysis and differential geometry, particularly relevant to curves and surfaces Cells of any shape - Cartesian, structured curvilinear coordinates, unstructured tetrahedra, unstructured hexahedra, or various combinations Separate grids overlaid on one another, communicating data through interpolation Moving boundaries and internal interfaces in the field Resolving gradients and controlling solution error Grid generation codes, both commercial and freeware, as well as representative and illustrative grid configurations Handbook of Grid Generation contains 37 chapters as well as contributions from more than 100 experts from around the world, comprehensively evaluating this expanding field and providing a fundamental orientation for practitioners.


Grid Generation Methods

Grid Generation Methods
Author: Vladimir D. Liseikin
Publisher: Springer Science & Business Media
Total Pages: 390
Release: 2009-10-27
Genre: Science
ISBN: 9048129125

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This text is an introduction to methods of grid generation technology in scientific computing. Special attention is given to methods developed by the author for the treatment of singularly-perturbed equations, e.g. in modeling high Reynolds number flows. Functionals of conformality, orthogonality, energy and alignment are discussed.


Fundamentals of Grid Generation

Fundamentals of Grid Generation
Author: Patrick Knupp
Publisher: CRC Press
Total Pages: 312
Release: 2020-12-17
Genre: Mathematics
ISBN: 0429605307

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Fundamentals of Grid Generation is an outstanding text/reference designed to introduce students in applied mathematics, mechanical engineering, and aerospace engineering to structured grid generation. It provides excellent reference material for practitioners in industry, and it presents new concepts to researchers. Readers will learn what boundary-conforming grids are, how to generate them, and how to devise their own methods. The text is written in a clear, intuitive style that doesn't get bogged down in unnecessary abstractions. Topics covered include planar, surface, and 3-D grid generation; numerical techniques; solution adaptivity; the finite volume approach to discretization of hosted equations; concepts from elementary differential geometry; and the transformation of differential operators to general coordinate systems. The book also reviews the literature on algebraic, conformal, orthogonal, hyperbolic, parabolic, elliptic, biharmonic, and variational approaches to grid generation. This unique volume closes with the author's original methods of variational grid generation.


Handbook of Grid Generation

Handbook of Grid Generation
Author: Joe F. Thompson
Publisher: CRC Press
Total Pages: 1132
Release: 1998-12-29
Genre: Technology & Engineering
ISBN: 1420050346

Download Handbook of Grid Generation Book in PDF, ePub and Kindle

Handbook of Grid Generation addresses the use of grids (meshes) in the numerical solutions of partial differential equations by finite elements, finite volume, finite differences, and boundary elements. Four parts divide the chapters: structured grids, unstructured girds, surface definition, and adaption/quality. An introduction to each section provides a roadmap through the material. This handbook covers: Fundamental concepts and approaches Grid generation process Essential mathematical elements from tensor analysis and differential geometry, particularly relevant to curves and surfaces Cells of any shape - Cartesian, structured curvilinear coordinates, unstructured tetrahedra, unstructured hexahedra, or various combinations Separate grids overlaid on one another, communicating data through interpolation Moving boundaries and internal interfaces in the field Resolving gradients and controlling solution error Grid generation codes, both commercial and freeware, as well as representative and illustrative grid configurations Handbook of Grid Generation contains 37 chapters as well as contributions from more than 100 experts from around the world, comprehensively evaluating this expanding field and providing a fundamental orientation for practitioners.


A Computational Differential Geometry Approach to Grid Generation

A Computational Differential Geometry Approach to Grid Generation
Author: Vladimir D. Liseikin
Publisher: Springer Science & Business Media
Total Pages: 274
Release: 2013-03-14
Genre: Science
ISBN: 3662054159

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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. In an updated and expanded Second Edition, this monograph gives a detailed treatment 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.


Grid Generation Methods

Grid Generation Methods
Author: Vladimir D. Liseikin
Publisher: Springer Science & Business Media
Total Pages: 363
Release: 2013-04-18
Genre: Science
ISBN: 3662039494

Download Grid Generation Methods Book in PDF, ePub and Kindle

This text is an introduction to methods of grid generation technology in scientific computing. Special attention is given to methods developed by the author for the treatment of singularly-perturbed equations, e.g. in modeling high Reynolds number flows. Functionals of conformality, orthogonality, energy and alignment are discussed.


Structured Grid Generation

Structured Grid Generation
Author: Miles
Publisher:
Total Pages:
Release: 2000-07
Genre:
ISBN: 9780340760147

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Computational Fluid Dynamics: Principles and Applications

Computational Fluid Dynamics: Principles and Applications
Author: Jiri Blazek
Publisher: Elsevier
Total Pages: 496
Release: 2005-12-20
Genre: Science
ISBN: 9780080529677

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Computational Fluid Dynamics (CFD) is an important design tool in engineering and also a substantial research tool in various physical sciences as well as in biology. The objective of this book is to provide university students with a solid foundation for understanding the numerical methods employed in today’s CFD and to familiarise them with modern CFD codes by hands-on experience. It is also intended for engineers and scientists starting to work in the field of CFD or for those who apply CFD codes. Due to the detailed index, the text can serve as a reference handbook too. Each chapter includes an extensive bibliography, which provides an excellent basis for further studies.


Fundamentals of Grid Generation

Fundamentals of Grid Generation
Author: Stanley Steinberg
Publisher: CRC Press
Total Pages: 309
Release: 2020-12-17
Genre: Mathematics
ISBN: 0429610823

Download Fundamentals of Grid Generation Book in PDF, ePub and Kindle

Fundamentals of Grid Generation is an outstanding text/reference designed to introduce students in applied mathematics, mechanical engineering, and aerospace engineering to structured grid generation. It provides excellent reference material for practitioners in industry, and it presents new concepts to researchers. Readers will learn what boundary-conforming grids are, how to generate them, and how to devise their own methods. The text is written in a clear, intuitive style that doesn't get bogged down in unnecessary abstractions. Topics covered include planar, surface, and 3-D grid generation; numerical techniques; solution adaptivity; the finite volume approach to discretization of hosted equations; concepts from elementary differential geometry; and the transformation of differential operators to general coordinate systems. The book also reviews the literature on algebraic, conformal, orthogonal, hyperbolic, parabolic, elliptic, biharmonic, and variational approaches to grid generation. This unique volume closes with the author's original methods of variational grid generation.