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BOOK EXCERPT:
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.
Product Details :
Genre |
: Mathematics |
Author |
: M Farrashkhalvat |
Publisher |
: Elsevier |
Release |
: 2003-02-11 |
File |
: 242 Pages |
ISBN-13 |
: 9780080472089 |
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BOOK EXCERPT:
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.
Product Details :
Genre |
: Technology & Engineering |
Author |
: Joe F. Thompson |
Publisher |
: CRC Press |
Release |
: 1998-12-29 |
File |
: 1136 Pages |
ISBN-13 |
: 1420050346 |
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BOOK EXCERPT:
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.
Product Details :
Genre |
: Science |
Author |
: Vladimir D. Liseikin |
Publisher |
: Springer |
Release |
: 2017-06-12 |
File |
: 541 Pages |
ISBN-13 |
: 9783319578460 |
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BOOK EXCERPT:
Product Details :
Genre |
: |
Author |
: |
Publisher |
: |
Release |
: 1992 |
File |
: 180 Pages |
ISBN-13 |
: NASA:31769000472681 |
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BOOK EXCERPT:
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.
Product Details :
Genre |
: Mathematics |
Author |
: Patrick Knupp |
Publisher |
: CRC Press |
Release |
: 2020-12-17 |
File |
: 312 Pages |
ISBN-13 |
: 9780429605307 |
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BOOK EXCERPT:
Product Details :
Genre |
: Airframes |
Author |
: |
Publisher |
: |
Release |
: 1995 |
File |
: 876 Pages |
ISBN-13 |
: PSU:000024142045 |
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BOOK EXCERPT:
Computational Fluid Dynamics research, especially for aeronautics, continues to be a rewarding and industrially relevant field of applied science in which to work. An enthusiastic international community of expert CFD workers continue to push forward the frontiers of knowledge in increasing number. Applications of CFD technology in many other sectors of industry are being successfully tackled. The aerospace industry has made significant investments and enjoys considerable benefits from the application of CFD to its products for the last two decades. This era began with the pioneering work ofMurman and others that took us into the transonic (potential flow) regime for the first time in the early 1970's. We have also seen momentous developments of the digital computer in this period into vector and parallel supercomputing. Very significant advances in all aspects of the methodology have been made to the point where we are on the threshold of calculating solutions for the Reynolds-averaged Navier-Stokes equations for complete aircraft configurations. However, significant problems and challenges remain in the areas of physical modelling, numerics and computing technology. The long term industrial requirements are captured in the U. S. Governments 'Grand Challenge' for 'Aerospace Vehicle Design' for the 1990's: 'Massively parallel computing systems and advanced parallel software technology and algorithms will enable the development and validation of multidisciplinary, coupled methods. These methods will allow the numerical simulation and design optimisation of complete aerospace vehicle systems throughout the flight envelope'.
Product Details :
Genre |
: Technology & Engineering |
Author |
: Nigel P. Weatherill |
Publisher |
: Springer Science & Business Media |
Release |
: 2012-12-06 |
File |
: 332 Pages |
ISBN-13 |
: 9783322878816 |
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BOOK EXCERPT:
Product Details :
Genre |
: Aeronautics |
Author |
: |
Publisher |
: |
Release |
: 1992 |
File |
: 320 Pages |
ISBN-13 |
: MINN:30000002821647 |
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BOOK EXCERPT:
This book constitutes the refereed post-conference proceedings of the 6th Russian Supercomputing Days, RuSCDays 2020, held in Moscow, Russia, in September 2020.* The 51 revised full and 4 revised short papers presented were carefully reviewed and selected from 106 submissions. The papers are organized in the following topical sections: parallel algorithms; supercomputer simulation; HPC, BigData, AI: architectures, technologies, tools; and distributed and cloud computing. * The conference was held virtually due to the COVID-19 pandemic.
Product Details :
Genre |
: Computers |
Author |
: Vladimir Voevodin |
Publisher |
: Springer Nature |
Release |
: 2020-12-05 |
File |
: 660 Pages |
ISBN-13 |
: 9783030646165 |
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BOOK EXCERPT:
This textbook comprehensively covers the fundamentals behind mathematical modeling of engineering problems to obtain the required solution. It comprehensively discusses modeling concepts through conservation principles with a proper blending of mathematical expressions. The text discusses the basics of governing equations in algebraic and differential forms and examines the importance of mathematics as a tool in modeling. It covers important topics including modeling of heat transfer problems, modeling of flow problems, modeling advection-diffusion problems and Navier-Stokes equations in depth. Pedagogical features including solved problems and unsolved exercises are interspersed throughout the text for better understanding. The textbook is primarily written for senior undergraduate and graduate students in the field of mechanical engineering for courses on modeling and simulation. The textbook will be accompanied by teaching resource including a solution manual for the instructors.
Product Details :
Genre |
: Science |
Author |
: Krishnan Murugesan |
Publisher |
: CRC Press |
Release |
: 2022-07-29 |
File |
: 279 Pages |
ISBN-13 |
: 9781000610635 |