Grid Generation And Adaptive Algorithms

Author : Marshall W. Bern,Joseph E. Flaherty,Mitchell Luskin
Publisher : Springer Science & Business Media
Page : 191 pages
File Size : 43,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461215561

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Grid Generation and Adaptive Algorithms by Marshall W. Bern,Joseph E. Flaherty,Mitchell Luskin Pdf

This IMA Volume in Mathematics and its Applications GRID GENERATION AND ADAPTIVE ALGORITHMS is based on the proceedings of a workshop with the same title. The work shop was an integral part of the 1996-97 IMA program on "MATHEMAT ICS IN HIGH-PERFORMANCE COMPUTING. " I would like to thank Marshall Bern (Xerox, Palo Alto Research Cen ter), Joseph E. Flaherty (Department of Computer Science, Rensselaer Polytechnic Institute), and Mitchell Luskin (School of Mathematics, Uni versity of Minnesota), for their excellent work as organizers of the meeting and for editing the proceedings. I also take this opportunity to thank the National Science Founda tion (NSF), Department of Energy (DOE), and the Army Research Office (ARO), whose financial support made the workshop possible. Willard Miller, Jr. , Professor and Director v PREFACE Scientific and engineering computation has become so complex that traditional numerical computation on uniform meshes is generally not pos sible or too expensive. Mesh generation must reflect both the domain geometry and the expected solution characteristics. Meshes should, fur thermore, be related to the solution through computable estimates of dis cretization errors. This, suggests an automatic and adaptive process where an initial mesh is enriched with the goal of computing a solution with prescribed accuracy specifications in an optimal manner. While automatic mesh generation procedures and adaptive strategies are becoming available, major computational challenges remain. Three-dimensional mesh genera tion is still far from automatic.

Author : Vladimir D. Liseikin
Publisher : Springer
Page : 530 pages
File Size : 43,6 Mb
Release : 2017-06-12
Category : Science
ISBN : 9783319578460

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Grid Generation Methods by Vladimir D. Liseikin Pdf

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.

Author : Simona Perotto,Luca Formaggia
Publisher : Springer
Page : 325 pages
File Size : 53,5 Mb
Release : 2015-04-27
Category : Mathematics
ISBN : 9783319060538

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New Challenges in Grid Generation and Adaptivity for Scientific Computing by Simona Perotto,Luca Formaggia Pdf

This volume collects selected contributions from the “Fourth Tetrahedron Workshop on Grid Generation for Numerical Computations”, which was held in Verbania, Italy in July 2013. The previous editions of this Workshop were hosted by the Weierstrass Institute in Berlin (2005), by INRIA Rocquencourt in Paris (2007), and by Swansea University (2010). This book covers different, though related, aspects of the field: the generation of quality grids for complex three-dimensional geometries; parallel mesh generation algorithms; mesh adaptation, including both theoretical and implementation aspects; grid generation and adaptation on surfaces – all with an interesting mix of numerical analysis, computer science and strongly application-oriented problems.

Author : Graham F. Carey
Publisher : CRC Press
Page : 518 pages
File Size : 53,7 Mb
Release : 1997-05-01
Category : Mathematics
ISBN : 1560326352

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Computational Grids by Graham F. Carey Pdf

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.

Author : Jörn Behrens
Publisher : Springer Science & Business Media
Page : 214 pages
File Size : 52,5 Mb
Release : 2007-06-25
Category : Computers
ISBN : 9783540333838

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Adaptive Atmospheric Modeling by Jörn Behrens Pdf

This is an overview of the development of adaptive techniques for atmospheric modeling. Written in an educational style, it functions as a starting point for readers interested in adaptive modeling, in atmospheric sciences and beyond. Coverage includes paradigms of adaptive techniques, such as error estimation and adaptation criteria. Mesh generation methods are presented for triangular/tetrahedral and quadrilateral/hexahedral meshes, with a special section on initial meshes for the sphere.

Author : Vladimir D. Liseikin
Publisher : Springer Science & Business Media
Page : 388 pages
File Size : 54,8 Mb
Release : 1999-07-23
Category : Science
ISBN : 3540656863

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Grid Generation Methods by Vladimir D. Liseikin Pdf

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.

Author : Rubén Sevilla,Simona Perotto,Kenneth Morgan
Publisher : Springer Nature
Page : 328 pages
File Size : 42,9 Mb
Release : 2022-05-18
Category : Mathematics
ISBN : 9783030925406

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Mesh Generation and Adaptation by Rubén Sevilla,Simona Perotto,Kenneth Morgan Pdf

The developments in mesh generation are usually driven by the needs of new applications and/or novel algorithms. The last decade has seen a renewed interest in mesh generation and adaptation by the computational engineering community, due to the challenges introduced by complex industrial problems.Another common challenge is the need to handle complex geometries. Nowadays, it is becoming obvious that geometry should be persistent throughout the whole simulation process. Several methodologies that can carry the geometric information throughout the simulation stage are available, but due to the novelty of these methods, the generation of suitable meshes for these techniques is still the main obstacle for the industrial uptake of this technology.This book will cover different aspects of mesh generation and adaptation, with particular emphasis on cutting-edge mesh generation techniques for advanced discretisation methods and complex geometries.

Author : Patrick Knupp,Stanly Steinberg
Publisher : CRC Press
Page : 312 pages
File Size : 54,8 Mb
Release : 2020-12-17
Category : Mathematics
ISBN : 9780429605307

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Fundamentals of Grid Generation by Patrick Knupp,Stanly Steinberg Pdf

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.

Author : Timothy J. Barth,Herman Deconinck
Publisher : Springer Science & Business Media
Page : 354 pages
File Size : 44,9 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9783662051894

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Error Estimation and Adaptive Discretization Methods in Computational Fluid Dynamics by Timothy J. Barth,Herman Deconinck Pdf

As computational fluid dynamics (CFD) is applied to ever more demanding fluid flow problems, the ability to compute numerical fluid flow solutions to a user specified tolerance as well as the ability to quantify the accuracy of an existing numerical solution are seen as essential ingredients in robust numerical simulation. Although the task of accurate error estimation for the nonlinear equations of CFD seems a daunting problem, considerable effort has centered on this challenge in recent years with notable progress being made by the use of advanced error estimation techniques and adaptive discretization methods. To address this important topic, a special course wasjointly organized by the NATO Research and Technology Office (RTO), the von Karman Insti tute for Fluid Dynamics, and the NASA Ames Research Center. The NATO RTO sponsored course entitled "Error Estimation and Solution Adaptive Discretization in CFD" was held September 10-14, 2002 at the NASA Ames Research Center and October 15-19, 2002 at the von Karman Institute in Belgium. During the special course, a series of comprehensive lectures by leading experts discussed recent advances and technical progress in the area of numerical error estimation and adaptive discretization methods with spe cific emphasis on computational fluid dynamics. The lecture notes provided in this volume are derived from the special course material. The volume con sists of 6 articles prepared by the special course lecturers.

Author : Anonim
Publisher : Unknown
Page : 550 pages
File Size : 51,6 Mb
Release : 1998
Category : Differential equations, Partial
ISBN : UOM:39015050804080

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Algorithms and Data Structures for Structured and Unstructured Grid Generation by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 280 pages
File Size : 41,7 Mb
Release : 1995
Category : Electronic
ISBN : NASA:31769000471485

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ICASE/LaRC Workshop on Adaptive Grid Methods by Anonim Pdf

Author : Scott B. Baden,Nikos P. Chrisochoides,Dennis B. Gannon,Michael L. Norman
Publisher : Springer Science & Business Media
Page : 187 pages
File Size : 44,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461212522

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Structured Adaptive Mesh Refinement (SAMR) Grid Methods by Scott B. Baden,Nikos P. Chrisochoides,Dennis B. Gannon,Michael L. Norman Pdf

The papers presented here describe research to improve the general understanding of the application of SAMR to practical problems, to identify issues critical to efficient and effective implementation on high performance computers and to stimulate the development of a community code repository for software including benchmarks to assist in the evaluation of software and compiler technologies. The ten chapters have been divided into two parts reflecting two major issues in the topic: programming complexity of SAMR algorithms and the applicability and numerical challenges of SAMR methods.

Author : M Farrashkhalvat,J P Miles
Publisher : Elsevier
Page : 256 pages
File Size : 46,7 Mb
Release : 2003-02-11
Category : Mathematics
ISBN : 9780080472089

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Basic Structured Grid Generation by M Farrashkhalvat,J P Miles Pdf

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.

Author : Joe F. Thompson,Bharat K. Soni,Nigel P. Weatherill
Publisher : CRC Press
Page : 1132 pages
File Size : 47,9 Mb
Release : 1998-12-29
Category : Technology & Engineering
ISBN : 9781420050349

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Handbook of Grid Generation by Joe F. Thompson,Bharat K. Soni,Nigel P. Weatherill Pdf

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.

Author : Vladimir A. Garanzha,Lennard Kamenski,Hang Si
Publisher : Springer Nature
Page : 320 pages
File Size : 49,8 Mb
Release : 2019-10-10
Category : Mathematics
ISBN : 9783030234362

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Numerical Geometry, Grid Generation and Scientific Computing by Vladimir A. Garanzha,Lennard Kamenski,Hang Si Pdf

The focus of these conference proceedings is on research, development, and applications in the fields of numerical geometry, scientific computing and numerical simulation, particularly in mesh generation and related problems. In addition, this year’s special focus is on Voronoi diagrams and their applications, celebrating the 150th birthday of G.F. Voronoi. In terms of content, the book strikes a balance between engineering algorithms and mathematical foundations. It presents an overview of recent advances in numerical geometry, grid generation and adaptation in terms of mathematical foundations, algorithm and software development and applications. The specific topics covered include: quasi-conformal and quasi-isometric mappings, hyperelastic deformations, multidimensional generalisations of the equidistribution principle, discrete differential geometry, spatial and metric encodings, Voronoi-Delaunay theory for tilings and partitions, duality in mathematical programming and numerical geometry, mesh-based optimisation and optimal control methods. Further aspects examined include iterative solvers for variational problems and algorithm and software development. The applications of the methods discussed are multidisciplinary and include problems from mathematics, physics, biology, chemistry, material science, and engineering.