Download or read book Automated Finite Element Mesh Generation Using Quadrilaterals and Hexahedrals written by Matthew Rees and published by . This book was released on 1996 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Regression Model Based Automatic Finite Element Mesh Generation written by Jie Jin and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Finite Element Mesh Generation written by Daniel S.H. Lo and published by CRC Press. This book was released on 2015-01-15 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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and optimization, generation of hexahedral meshes, and large scale and parallel meshing, along with innovative unpublished meshing methods.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.
Download or read book The Definition and Extraction of Shape Abstractions for Automatic Finite Element Hexahedral Mesh Generation written by Shang-Sheng Liu and published by . This book was released on 1997 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Automatic Mesh Generation written by Paul L. George and published by . This book was released on 1991 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Connectivity based All hexahedral Mesh Generation Method and Apparatus written by and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The present invention is a computer-based method and apparatus for constructing all-hexahedral finite element meshes for finite element analysis. The present invention begins with a three-dimensional geometry and an all-quadrilateral surface mesh, then constructs hexahedral element connectivity from the outer boundary inward, and then resolves invalid connectivity. The result of the present invention is a complete representation of hex mesh connectivity only; actual mesh node locations are determined later. The basic method of the present invention comprises the step of forming hexahedral elements by making crossings of entities referred to as "whisker chords." This step, combined with a seaming operation in space, is shown to be sufficient for meshing simple block problems. Entities that appear when meshing more complex geometries, namely blind chords, merged sheets, and self-intersecting chords, are described. A method for detecting invalid connectivity in space, based on repeated edges, is also described, along with its application to various cases of invalid connectivity introduced and resolved by the method.
Download or read book Contributions to Automatic Meshing in the AMORE Scheme written by Angus Foo and published by . This book was released on 2020 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traditional Finite Element (FE) analysis requires the discretisation of continuous bodies into connected meshes of triangles and quadrilaterals (in 2D; tetrahedrals [tet] and hexahedrals [hex] in 3D) elements. Besides the restrictions due to compatibility of adjacent elements, one primary concern regarding mesh generation is that of minimizing the distortion of elements and the number of distorted elements so as to reduce the discretisation error. This has generally steered research in 2D mesh generation techniques away from grid-based methods, which tends to generate significant numbers of distorted elements; additionally, such methods are generally not considered at all in 3D mesh generation. Furthermore, significant amounts of man-hours are used during the meshing phase of FE analyses to partition and prescribe element types, where the ability to mesh portions of the geometry with hex elements is preferred over using tet elements in the mesh. The recent advances in the theory of Overlapping Finite Elements (OFE) now allow for the use of distorted elements without compromising on the accuracy of the FE analysis. However, a trade-off arises because more degrees of freedom (DOFs) are required at triangular (and tetrahedral) nodes. We propose the reintroduction of optimised 2D grid-based mesh generation techniques to decrease the DOFs in a way that is generalizable to arbitrary 3D geometries, as part of a step towards a truly automated meshing paradigm, referred to as the Automatic Meshing with Overlapping and Regular Elements (AMORE), which requires minimal-to-no input from the engineer.
Download or read book Development of a Two dimensional Finite Element Mesh Generator with Automatic Mesh Refinement Using Quadrilateral Elements and Bezier Curve Boundary Definition written by Jeffrey A. Talbert and published by . This book was released on 1987 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Automated Quadrilateral Surface Discretization Method and Apparatus Usable to Generate Mesh in a Finite Element Analysis System written by and published by . This book was released on 1994 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: An automatic quadrilateral surface discretization method and apparatus is provided for automatically discretizing a geometric region without decomposing the region. The automated quadrilateral surface discretization method and apparatus automatically generates a mesh of all quadrilateral elements which is particularly useful in finite element analysis. The generated mesh of all quadrilateral elements is boundary sensitive, orientation insensitive and has few irregular nodes on the boundary. A permanent boundary of the geometric region is input and rows are iteratively layered toward the interior of the geometric region. Also, an exterior permanent boundary and an interior permanent boundary for a geometric region may be input and the rows are iteratively layered inward from the exterior boundary in a first counter clockwise direction while the rows are iteratively layered from the interior permanent boundary toward the exterior of the region in a second clockwise direction. As a result, a high quality mesh for an arbitrary geometry may be generated with a technique that is robust and fast for complex geometric regions and extreme mesh gradations.
Download or read book STACS 96 written by Claude Puech and published by Springer Science & Business Media. This book was released on 1996-02-14 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th Symposium on Theoretical Aspects of Computer Science, STACS 96, held in Grenoble, France in February 1996. The 52 revised papers presented were selected from a total of 185 submissions; also included are three invited papers. The volume addresses all current aspects of theoretical computer science and is organized in sections on complexity theory, automata theory, parallel algorithms, learning, parallel and distributed systems, cryptography, logic and database theory, algorithms, semantics and program verification, and communication complexity.
Download or read book Handbook of Grid Generation written by Joe F. Thompson and published by CRC Press. This book was released on 1998-12-29 with total page 1136 pages. Available in PDF, EPUB and Kindle. 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.
Download or read book Automated All quadrilateral Mesh Adaptation Through Refinement and Coarsening written by Bret Dallas Anderson and published by . This book was released on 2009 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis presents a new approach to conformal all-quadrilateral mesh adaptation. In finite element modeling applications, it is often desirable to modify the node density of the mesh; increasing the density in some parts of the mesh to provide more accurate results, while decreasing the density in other parts to reduce computation time. The desired node density is typically determined by a sizing function based on either the geometry of the model or the results of a finite element solution. Although there are numerous mesh adaptation methods currently in use, including initial adaptive mesh generation, node redistribution, and adaptive mesh refinement, there are relatively few methods that modify the mesh density by adding and removing mesh elements, and none of these guarantee a conformal, all-quadrilateral mesh while allowing general coarsening. This work introduces a new method that incorporates both conformal refinement and coarsening strategies on an existing mesh of any density or configuration. Given a sizing function, this method modifies the mesh by combining existing template based quadrilateral refinement methods with recent developments in localized quadrilateral coarsening and quality improvement into an automated mesh adaptation routine.
Download or read book The Scaled Boundary Finite Element Method written by Chongmin Song and published by John Wiley & Sons. This book was released on 2018-06-19 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: An informative look at the theory, computer implementation, and application of the scaled boundary finite element method This reliable resource, complete with MATLAB, is an easy-to-understand introduction to the fundamental principles of the scaled boundary finite element method. It establishes the theory of the scaled boundary finite element method systematically as a general numerical procedure, providing the reader with a sound knowledge to expand the applications of this method to a broader scope. The book also presents the applications of the scaled boundary finite element to illustrate its salient features and potentials. The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation covers the static and dynamic stress analysis of solids in two and three dimensions. The relevant concepts, theory and modelling issues of the scaled boundary finite element method are discussed and the unique features of the method are highlighted. The applications in computational fracture mechanics are detailed with numerical examples. A unified mesh generation procedure based on quadtree/octree algorithm is described. It also presents examples of fully automatic stress analysis of geometric models in NURBS, STL and digital images. Written in lucid and easy to understand language by the co-inventor of the scaled boundary element method Provides MATLAB as an integral part of the book with the code cross-referenced in the text and the use of the code illustrated by examples Presents new developments in the scaled boundary finite element method with illustrative examples so that readers can appreciate the significant features and potentials of this novel method—especially in emerging technologies such as 3D printing, virtual reality, and digital image-based analysis The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation is an ideal book for researchers, software developers, numerical analysts, and postgraduate students in many fields of engineering and science.
Download or read book The Finite Element Method Set written by O. C. Zienkiewicz and published by Elsevier. This book was released on 2005-11-25 with total page 1863 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sixth editions of these seminal books deliver the most up to date and comprehensive reference yet on the finite element method for all engineers and mathematicians. Renowned for their scope, range and authority, the new editions have been significantly developed in terms of both contents and scope. Each book is now complete in its own right and provides self-contained reference; used together they provide a formidable resource covering the theory and the application of the universally used FEM. Written by the leading professors in their fields, the three books cover the basis of the method, its application to solid mechanics and to fluid dynamics.* This is THE classic finite element method set, by two the subject's leading authors * FEM is a constantly developing subject, and any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in these books * Fully up-to-date; ideal for teaching and reference
Download or read book Finite Element Mesh Generation written by B. H. V. Topping and published by Saxe-Coburg Publications. This book was released on 2004 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: &Quot;This book describes both structured and unstructured mesh generation techniques. Structured mesh generation is covered briefly and the algebraic, multi-block technique is discussed in more detail. The main part of the book covers unstructured mesh generation using the advancing front, paving and Delaunay techniques. The Delaunay method is described in two and three dimensions. Both theoretical and implementation issues are discussed in detail. An integrated framework that is used for the two dimensional unstructured methods is also described. Common features of the framework include: accurate control over mesh size; boundary refinement procedures; and postprocessing tasks such as smoothing. Methods to convert triangular meshes to quadrilateral meshes are also presented. Mesh quality of the different mesh generation procedures is addressed with some examples.". "The book will be of interest to engineers, computer scientists and mathematicians working on mesh generation and finite element methods. The C source code for the procedures described in the book is available via the authors's website."--BOOK JACKET.
Download or read book Quadrilateral hexahedral Finite Element Mesh Coarsening written by and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A technique for coarsening a finite element mesh ("FEM") is described. This technique includes identifying a coarsening region within the FEM to be coarsened. Perimeter chords running along perimeter boundaries of the coarsening region are identified. The perimeter chords are redirected to create an adaptive chord separating the coarsening region from a remainder of the FEM. The adaptive chord runs through mesh elements residing along the perimeter boundaries of the coarsening region. The adaptive chord is then extracted to coarsen the FEM.
Download or read book CSG Based Automatic Mesh Generation Using Multiple Element Types written by Richard H. Hall and published by . This book was released on 1993 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The objective of this thesis project is to explore a unique approach toward automatic mesh generation for finite element analysis. Current mesh generation algorithms are only applicable to a single type of domain. Countless mesh generators exist for meshing 2D regions with triangles and quadrilaterals, and mesh generators also exist which can mesh 3D regions with tetrahedra and other element types. However, not all structures are strictly "2D" or "3D", and not all structures are best modeled with a single type of element. An experienced finite element analyst typically uses many types of elements when modeling a real problem. This thesis addresses this approach to meshing in an automatic manner. However, at various stages, the user has the ability to change the course of the modeler. In this thesis project, a program for automatic mesh generation has been developed on a constructive solid geometry (CSG) foundation. This program was written in object-oriented Pascal, and consists of well over 25,000 lines of code. The CSG system used was developed with PADL-2 as the guide, and allows complex geometries to be modeled as combinations of blocks and cylinders. This solid model is then broken into ID, 2D and 3D regions, or "segments", using CSG-Tree segmentation logic. Each segment can then be meshed using an appropriate mesh generation technique. Thus, a single model can be meshed with multiple element types, just as an experienced analyst would do it."--Abstract.
