Mesh Enhancement

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Mesh Enhancement

This book focuses on mesh (grid) enhancement techniques specifically, the use of selected elliptic methods for both structuredand unstructured meshes associated with computational physicsapplications. Mesh enhancement is the process in which an existingmesh is modified to better meet the requirements of the physicsapplication.
Finite Element Mesh Generation

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and optimization, generation of hexahedral meshes, and large scale and parallel meshing, along with innovative unpublished meshing methods.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

Author: Fouad Sabry
language: en
Publisher: One Billion Knowledgeable
Release Date: 2024-05-04
What is Mesh Generation Mesh generation is the practice of creating a mesh, a subdivision of a continuous geometric space into discrete geometric and topological cells.Often these cells form a simplicial complex.Usually the cells partition the geometric input domain.Mesh cells are used as discrete local approximations of the larger domain. Meshes are created by computer algorithms, often with human guidance through a GUI, depending on the complexity of the domain and the type of mesh desired.A typical goal is to create a mesh that accurately captures the input domain geometry, with high-quality (well-shaped) cells, and without so many cells as to make subsequent calculations intractable.The mesh should also be fine in areas that are important for the subsequent calculations. How you will benefit (I) Insights, and validations about the following topics: Chapter 1: Mesh generation Chapter 2: Finite element method Chapter 3: Partial differential equation Chapter 4: Computational fluid dynamics Chapter 5: Numerical methods for partial differential equations Chapter 6: Elliptic partial differential equation Chapter 7: Finite difference method Chapter 8: Numerical continuation Chapter 9: Finite volume method Chapter 10: Isogeometric analysis (II) Answering the public top questions about mesh generation. (III) Real world examples for the usage of mesh generation in many fields. Who this book is for Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of Mesh Generation.