Mesh Generation and Adaptation Over 2D Surfaces PDF Download

Author: Andrew Syfret
Publisher:
ISBN:
Category :
Languages : en
Pages : 84

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Book Description

Author: Daniel S.H. Lo
Publisher: CRC Press
ISBN: 041569048X
Category : Technology & Engineering
Languages : en
Pages : 676

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Book Description
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and optimization, generation of hexahedral meshes, and large scale and parallel meshing, along with innovative unpublished meshing methods.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.

Author: Rubén Sevilla
Publisher: Springer Nature
ISBN: 3030925404
Category : Mathematics
Languages : en
Pages : 328

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Book Description
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: Ju-Lin Shan
Publisher:
ISBN:
Category :
Languages : zh-CN
Pages : 150

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Book Description
An improved adaptive triangle and tetrahedral adaptive mesh generator has been developed. The interfaces of B-Rep which is used to smooth over the differences in various CAD systems and the mesh data structures based on topology and relation matrix are also introduced. For 3D combined surfaces, an extended Advancing Front Technique (AFT) is extended to overcome the meh quality-worsening problem in closed surface mesh generation due to introducing virtual boundaries into 2D open parametric domains in resulting generate high-quality meshes and guarantee convergence in both open and closed surfaces.Ffor the shifting-AFT, it's not necessary to introduce virtual boundaries manually and automatically while meshing a closed surface, better-shaped triangles will be generate. Comparing with direct methods, the shifting-AFT avoids carrying out costly and unstable 3D geometrical computations in real space. During rolling back of tetrahedral meshing the advancing path is changed by changing front's preferential factor, the times of rolling back is decreased significantly. Moreover, node inserting based on linear programming technique improves the convergence of the algorithm. At the end, a robust backward search method based on walk-through algorithm is proposed to deal with the searching problems in non-convex fields and to avoid the problems of infinite loop.

Author: Ivo Babuska
Publisher: Springer Science & Business Media
ISBN: 1461242487
Category : Mathematics
Languages : en
Pages : 487

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Book Description
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.

Author: Ding-Zhu Du
Publisher: World Scientific
ISBN: 9789810218768
Category : Mathematics
Languages : en
Pages : 520

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Book Description
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.

Author: J. Middleton
Publisher: CRC Press
ISBN: 1000159450
Category : Medical
Languages : en
Pages : 856

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Book Description
Contains papers presented at the Third International Symposium on Computer Methods in Biomechanics and Biomedical Engineering (1997), which provide evidence that computer-based models, and in particular numerical methods, are becoming essential tools for the solution of many problems encountered in the field of biomedical engineering. The range of subject areas presented include the modeling of hip and knee joint replacements, assessment of fatigue damage in cemented hip prostheses, nonlinear analysis of hard and soft tissue, methods for the simulation of bone adaptation, bone reconstruction using implants, and computational techniques to model human impact. Computer Methods in Biomechanics and Biomedical Engineering also details the application of numerical techniques applied to orthodontic treatment together with introducing new methods for modeling and assessing the behavior of dental implants, adhesives, and restorations. For more information, visit the "http://www.uwcm.ac.uk/biorome/international symposium on Computer Methods in Biomechanics and Biomedical Engineering/home page, or "http://www.gbhap.com/Computer_Methods_Biomechanic s_Biome dical_Engineering/" the home page for the journal.

Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 652

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Book Description
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Author: Vladimir D. Liseikin
Publisher: Springer Science & Business Media
ISBN: 3662039494
Category : Science
Languages : en
Pages : 363

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Book Description
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: Tatsien Li
Publisher: World Scientific
ISBN: 9814474215
Category : Mathematics
Languages : en
Pages : 302

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Book Description
This book gives the basic notions of differential geometry, such as the metric tensor, the Riemann curvature tensor, the fundamental forms of a surface, covariant derivatives, and the fundamental theorem of surface theory in a self-contained and accessible manner. Although the field is often considered a “classical” one, it has recently been rejuvenated, thanks to the manifold applications where it plays an essential role.The book presents some important applications to shells, such as the theory of linearly and nonlinearly elastic shells, the implementation of numerical methods for shells, and mesh generation in finite element methods.This volume will be very useful to graduate students and researchers in pure and applied mathematics.