Grid Generation Methods
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Grid Generation Methods
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Author : Vladimir D. Liseikin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-18
Grid Generation Methods written by Vladimir D. Liseikin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-18 with Science categories.
Grid generation codes represent an indispensable tool for solving field prob lems in nearly all areas of applied mathematics. The use of these grid codes significantly enhances the productivity and reliability of the numerical analy sis of problems with complex geometry and complicated solutions. The science of grid generation is rather young and is still growing fast; new developments are continually occurring in the fields of grid methods, codes, and practical applications. Therefore there exists an evident need of students, researchers, and practitioners in applied mathematics for new books which coherently complement the existing ones with a description of new developments in grid methods, grid codes, and the concomitant areas of grid technology. The objective of this book is to give a clear, comprehensive, and easily learned description of all essential methods of grid generation technology for two major classes of grids: structured and unstructured. These classes rely on two somewhat opposite basic concepts. The basic concept of the former class is adherence to order and organization, while the latter is based on the absence of any restrictions. The present monograph discusses the current state of the art in methods of grid generation and describes new directions and new techniques aimed at the enhancement of the efficiency and productivity of the grid process. The emphasis is put on mathematical formulations, explanations, and examples of various aspects of grid generation.
Grid Generation Methods
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Author : Vladimir D. Liseikin
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-27
Grid Generation Methods written by Vladimir D. Liseikin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-27 with Science categories.
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.
Handbook Of Grid Generation
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Author : Joe F. Thompson
language : en
Publisher: CRC Press
Release Date : 1998-12-29
Handbook Of Grid Generation written by Joe F. Thompson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-12-29 with Mathematics categories.
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
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Author : Vladimir D. Liseikin
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-07-23
Grid Generation Methods written by Vladimir D. Liseikin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-07-23 with Science categories.
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.
The Finite Element Method Its Basis And Fundamentals
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Author : O. C. Zienkiewicz
language : en
Publisher: Elsevier
Release Date : 2005-05-26
The Finite Element Method Its Basis And Fundamentals written by O. C. Zienkiewicz and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-26 with Technology & Engineering categories.
The Sixth Edition of this influential best-selling book delivers the most up-to-date and comprehensive text and reference yet on the basis of the finite element method (FEM) for all engineers and mathematicians. Since the appearance of the first edition 38 years ago, The Finite Element Method provides arguably the most authoritative introductory text to the method, covering the latest developments and approaches in this dynamic subject, and is amply supplemented by exercises, worked solutions and computer algorithms.• The classic FEM text, written by the subject's leading authors • Enhancements include more worked examples and exercises• With a new chapter on automatic mesh generation and added materials on shape function development and the use of higher order elements in solving elasticity and field problemsActive research has shaped The Finite Element Method into the pre-eminent tool for the modelling of physical systems. It maintains the comprehensive style of earlier editions, while presenting the systematic development for the solution of problems modelled by linear differential equations. Together with the second and third self-contained volumes (0750663219 and 0750663227), The Finite Element Method Set (0750664312) provides a formidable resource covering the theory and the application of FEM, including the basis of the method, its application to advanced solid and structural mechanics and to computational fluid dynamics. - The classic introduction to the finite element method, by two of the subject's leading authors - Any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in this key text
Computational Grids
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Author : Graham F. Carey
language : en
Publisher: CRC Press
Release Date : 1997-05-01
Computational Grids written by Graham F. Carey and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-05-01 with Mathematics categories.
In this comprehensive volume a treatment of grid generation, adaptive refinement, and redistribution techniques is developed together with supporting mathematical, algorithmic, and software concepts. Efficient solution strategies that exploit grid hierarchies are also described and analyzed. Emphasis is on the fundamental ideas, but the presentation includes practical guidelines for designing and implementing grid strategies.
Basic Structured Grid Generation
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Author : M Farrashkhalvat
language : en
Publisher: Elsevier
Release Date : 2003-02-11
Basic Structured Grid Generation written by M Farrashkhalvat and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-02-11 with Mathematics categories.
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.
A Computational Differential Geometry Approach To Grid Generation
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Author : Vladimir D. Liseikin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
A Computational Differential Geometry Approach To Grid Generation written by Vladimir D. Liseikin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Science categories.
Grid technology whose achievements have significant impact on the efficiency of numerical codes still remains a rapidly advancing field of computational and applied mathematics. New achievements are being added by the creation of more sophisticated techniques, modification of the available methods, and implementation of more subtle tools as well as the results of the theories of differential equations, calculas of variations, and Riemannian geometry being applied to the formulation of grid models and analysis of grid properties. The development of comprehensive differential and variational grid gen eration techniques reviewed in the monographs of J. F. Thompson, Z. U. A. Warsi, C. W. Mastin, P. Knupp, S. Steinberg, V. D. Liseikin has been largely based on a popular concept in accordance with which a grid model realizing the required grid properties should be formulated through a linear combina tion of basic and control grid operators with weights. A typical basic grid operator is the operator responsible for the well-posedness of the grid model and construction of unfolding grids, e. g. the Laplace equations (generalized Laplace equations for surfaces) or the functional of grid smoothness which produces fixed nonfolding grids while grid clustering is controlled by source terms in differential grid formulations or by an adaptation functional in vari ational models. However, such a formulation does not obey the fundamental invariance laws with respect to parameterizations of physical geometries. It frequently results in cumbersome governing grid equations whose choice of weight and control functions provide conflicting grid requirements.
Fundamentals Of Grid Generation
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Author : Stanley Steinberg
language : en
Publisher: CRC Press
Release Date : 2020-12-17
Fundamentals Of Grid Generation written by Stanley Steinberg and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-17 with Mathematics categories.
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.
Surface Modeling Grid Generation And Related Issues In Computational Fluid Dynamic Cfd Solutions
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Author :
language : en
Publisher:
Release Date : 1995
Surface Modeling Grid Generation And Related Issues In Computational Fluid Dynamic Cfd Solutions written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Airframes categories.