Automatic Mesh Generation

Automatic Mesh Generation
Author: P. L. George
Publisher: Wiley
Total Pages: 344
Release: 1992-01-30
Genre: Technology & Engineering
ISBN: 9780471930976

Mesh generation is a necessary prerequisite for the numerical analysis of engineering problems--both geometrically complicated and large size. With an increasing need for automatic applications to accomplish these complicated tasks, it offers an in-depth survey of existing techniques for mesh generation. A number of problems are given and their solutions carefully explained. Also includes detailed coverage of traditional structured grids along with unstructured meshes of triangles and tetrahedra.

Finite Element Mesh Generation

Finite Element Mesh Generation
Author: Daniel S.H. Lo
Publisher: CRC Press
Total Pages: 676
Release: 2015-01-15
Genre: Technology & Engineering
ISBN: 041569048X

Highlights the Progression of Meshing Technologies and Their Applications Finite Element Mesh Generation provides a concise and comprehensive guide to the application of finite element mesh generation over 2D domains, curved surfaces, and 3D space. Organised according to the geometry and dimension of the problem domains, it develops from the basic meshing algorithms to the most advanced schemes to deal with problems with specific requirements such as boundary conformity, adaptive and anisotropic elements, shape qualities, and mesh optimization. It sets out the fundamentals of popular techniques, including: Delaunay triangulation Advancing-front (ADF) approach Quadtree/Octree techniques Refinement and optimization-based strategies From the geometrical and the topological aspects and their associated operations and inter-relationships, each approach is vividly described and illustrated with examples. Beyond the algorithms, the book also explores the practice of using metric tensor and surface curvatures for generating anisotropic meshes on parametric space. It presents results from research including 3D anisotropic meshing, mesh generation over unbounded domains, meshing by means of intersection, re-meshing by Delaunay-ADF approach, mesh refinement and optimization, generation of hexahedral meshes, and large scale and parallel meshing, along with innovative unpublished meshing methods. The author provides illustrations of major meshing algorithms, pseudo codes, and programming codes in C++ or FORTRAN. Geared toward research centers, universities, and engineering companies, Finite Element Mesh Generation describes mesh generation methods and fundamental techniques, and also serves as a valuable reference for laymen and experts alike.

Mesh Generation

Mesh Generation
Author: Pascal Frey
Publisher: John Wiley & Sons
Total Pages: 848
Release: 2013-03-11
Genre: Technology & Engineering
ISBN: 1118623827

The aim of the second edition of this book is to provide a comprehensive survey of the different algorithms and data structures useful for triangulation and meshing construction. In addition, several aspects are given full coverage, such as mesh modification tools, mesh evaluation criteria, mesh optimization, adaptive mesh construction and parallel meshing techniques. This new edition has been comprehensively updated and also includes a new chapter on mobile or deformable meshes.

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

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.

Delaunay Mesh Generation

Delaunay Mesh Generation
Author: Siu-Wing Cheng
Publisher: CRC Press
Total Pages: 404
Release: 2016-04-19
Genre: Computers
ISBN: 1584887311

Written by authors at the forefront of modern algorithms research, Delaunay Mesh Generation demonstrates the power and versatility of Delaunay meshers in tackling complex geometric domains ranging from polyhedra with internal boundaries to piecewise smooth surfaces. Covering both volume and surface meshes, the authors fully explain how and why thes

Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations

Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations
Author: Ivo Babuska
Publisher: Springer Science & Business Media
Total Pages: 487
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461242487

With considerations such as complex-dimensional geometries and nonlinearity, the computational solution of partial differential systems has become so involved that it is important to automate decisions that have been normally left to the individual. This book covers such decisions: 1) mesh generation with links to the software generating the domain geometry, 2) solution accuracy and reliability with mesh selection linked to solution generation. This book is suited for mathematicians, computer scientists and engineers and is intended to encourage interdisciplinary interaction between the diverse groups.

Computing in Euclidean Geometry

Computing in Euclidean Geometry
Author: Ding-Zhu Du
Publisher: World Scientific
Total Pages: 520
Release: 1995
Genre: Mathematics
ISBN: 9789810218768

This book is a collection of surveys and exploratory articles about recent developments in the field of computational Euclidean geometry. Topics covered include the history of Euclidean geometry, Voronoi diagrams, randomized geometric algorithms, computational algebra, triangulations, machine proofs, topological designs, finite-element mesh, computer-aided geometric designs and Steiner trees. This second edition contains three new surveys covering geometric constraint solving, computational geometry and the exact computation paradigm.

Advanced Computational Fluid and Aerodynamics

Advanced Computational Fluid and Aerodynamics
Author: Paul G. Tucker
Publisher: Cambridge University Press
Total Pages: 589
Release: 2016-03-15
Genre: Science
ISBN: 1107075904

This book outlines the computational fluid dynamics evolution and gives an overview of the methods available to the engineer.

The Finite Element Method: Its Basis and Fundamentals

The Finite Element Method: Its Basis and Fundamentals
Author: O. C. Zienkiewicz
Publisher: Elsevier
Total Pages: 753
Release: 2005-05-26
Genre: Technology & Engineering
ISBN: 008047277X

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