Download or read book Low Singularity Quadrilateral Meshes for Numerical Simulations written by Chaman Singh Verma and published by . This book was released on 2017 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Triangle and quadrilateral meshes are two common ways discretize 2D domains, and 3D surfaces. Despite many inherent theoretical advantages of quadrilateral meshes, triangular meshes are more widely used for the following reasons: (1) there are many well-known triangle mesh generating algorithms that are fast, parameters-free, and robust, and (2) triangular meshes are easy to modify and optimize. The main contributions of this thesis are new theoretical results, and associated algorithms that demonstrate that one can rapidly generate high quality quadrilateral meshes, and modify them as easily. Specifically, the thesis describes the following four concepts specifically related to quadrilateral meshes. ·Perfect-Matching Triangulation to Quadrangulation Conversion: Converting a triangle mesh to a quadrilateral mesh, with perfect matching (i.e., with no dangling triangles), is of significant interest. Current perfect-matching algorithms are variations of Edmond's classic Blossom algorithm. One variation is the tree-percolation algorithm that utilizes the binary tree dual of a triangular mesh. This algorithm is extremely fast, but does not guarantee perfect matching. In this thesis, I show how the tree-percolation algorithm can be modified to result in perfect matching, without sacrificing on speed. To the best of my knowledge, the proposed tree percolation with flipping (TPF) is the fastest algorithm today to convert a triangular mesh into a quadrilateral mesh with perfect matching. As with any perfect matching algorithm, the topological quality of the quadrilateral mesh is often very poor, and the resulting quadrilateral mesh cannot be used for simulation. However, it is often used as an initial quadrilateral mesh for further improvement. ·Minimum Singularity Templates: Improving a quadrilateral mesh means improving both the geometric and topological qualities. Local improvements of a quadrilateral mesh are almost impossible since modifying a single element can have a global effect on the mesh (unlike in triangular meshes). While several non-local methods have been proposed, most of these focus on geometric quality, and often sacrifice on topological quality. This thesis introduces the concept of minimum singularity templates (MST) that address both qualities simultaneously. The MST aims to reduce the number of singularities in an existing quadrilateral mesh in a systematic manner, while maintaining geometric quality. ·Unified Quad Mesh Adaptation Technique: Mesh adaptation refers to the task of refining, coarsening or improving a mesh. It plays a critical role in balancing computational efficiency and numerical accuracy in various applications. Currently, different methods have been proposed for each of these three adaptations, and they all invariably reduce the topological quality of the mesh. In this thesis, a unified concept of "alpha" MST template is introduced, where a single parameter "alpha" is used to achieve all three forms of adaptations. With "alpha = 1", we would improve the quality of the mesh, with "alpha 1" we would simplify the mesh, and "alpha 1" would refine the mesh. Furthermore, the proposed unified algorithm will not deteriorate the topological quality. ·An Ab-initio Quad Mesh Generator: Exploiting the concept of MST, the thesis describes a new indirect method for ab-initio generating quadrilateral meshes. The proposed combinatorial quadrilateral mesh generation (CQMG) algorithm is robust and fast (capable of generating millions of elements per second. The underlying reason is that CQMG uses simple algebraic checks, instead of expensive exact geometric predicates. The speed and robustness are demonstrated through numerous examples, and compared against other popular algorithms.

Download or read book Meshing Geometric Modeling and Numerical Simulation Volume 2 written by Paul Louis George and published by John Wiley & Sons. This book was released on 2019-01-25 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Triangulations, and more precisely meshes, are at the heart of many problems relating to a wide variety of scientific disciplines, and in particular numerical simulations of all kinds of physical phenomena. In numerical simulations, the functional spaces of approximation used to search for solutions are defined from meshes, and in this sense these meshes play a fundamental role. This strong link between meshes and functional spaces leads us to consider advanced simulation methods in which the meshes are adapted to the behaviors of the underlying physical phenomena. This book presents the basic elements of this vision of meshing. These mesh adaptations are generally governed by a posteriori error estimators representing an increase of the error with respect to a size or metric. Independently of this metric of calculation, compliance with a geometry can also be calculated using a so-called geometric metric. The notion of mesh thus finds its meaning in the metric of its elements.

Download or read book Adaptive Atmospheric Modeling written by Jörn Behrens and published by Springer Science & Business Media. This book was released on 2007-06-25 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Reduced Modelling of Planar Fuel Cells written by Zhongjie He and published by Springer. This book was released on 2016-12-25 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on novel reduced cell and stack models for proton exchange membrane fuel cells (PEMFCs) and planar solid oxide fuel cells (P-SOFCs) that serve to reduce the computational cost by two orders of magnitude or more with desired numerical accuracy, while capturing both the average properties and the variability of the dependent variables in the 3D counterparts. The information provided can also be applied to other kinds of plate-type fuel cells whose flow fields consist of parallel plain channels separated by solid ribs. These fast and efficient models allow statistical sensitivity analysis for a sample size in the order of 1000 without prohibitive computational cost to be performed to investigate not only the individual, but also the simultaneous effects of a group of varying geometrical, material, and operational parameters. This provides important information for cell/stack design, and to illustrate this, Monte Carlo simulation of the reduced P-SOFC model is conducted at both the single-cell and stack levels.

Download or read book Introduction to Approximate Solution Techniques Numerical Modeling and Finite Element Methods written by Victor N. Kaliakin and published by CRC Press. This book was released on 2018-04-19 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functions as a self-study guide for engineers and as a textbook for nonengineering students and engineering students, emphasizing generic forms of differential equations, applying approximate solution techniques to examples, and progressing to specific physical problems in modular, self-contained chapters that integrate into the text or can stand alone! This reference/text focuses on classical approximate solution techniques such as the finite difference method, the method of weighted residuals, and variation methods, culminating in an introduction to the finite element method (FEM). Discusses the general notion of approximate solutions and associated errors! With 1500 equations and more than 750 references, drawings, and tables, Introduction to Approximate Solution Techniques, Numerical Modeling, and Finite Element Methods: Describes the approximate solution of ordinary and partial differential equations using the finite difference method Covers the method of weighted residuals, including specific weighting and trial functions Considers variational methods Highlights all aspects associated with the formulation of finite element equations Outlines meshing of the solution domain, nodal specifications, solution of global equations, solution refinement, and assessment of results Containing appendices that present concise overviews of topics and serve as rudimentary tutorials for professionals and students without a background in computational mechanics, Introduction to Approximate Solution Techniques, Numerical Modeling, and Finite Element Methods is a blue-chip reference for civil, mechanical, structural, aerospace, and industrial engineers, and a practical text for upper-level undergraduate and graduate students studying approximate solution techniques and the FEM.

Download or read book Handbook of Numerical Methods for Hyperbolic Problems written by Remi Abgrall and published by Elsevier. This book was released on 2016-11-17 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Numerical Methods for Hyperbolic Problems explores the changes that have taken place in the past few decades regarding literature in the design, analysis and application of various numerical algorithms for solving hyperbolic equations. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and readily understand their relative advantages and limitations. - Provides detailed, cutting-edge background explanations of existing algorithms and their analysis - Ideal for readers working on the theoretical aspects of algorithm development and its numerical analysis - Presents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or readers involved in applications - Written by leading subject experts in each field who provide breadth and depth of content coverage

Download or read book Finite Element Simulations with ANSYS Workbench 16 written by Huei-Huang Lee and published by SDC Publications. This book was released on 2015 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Element Simulations with ANSYS Workbench 16 is a comprehensive and easy to understand workbook. It utilizes step-by-step instructions to help guide readers to learn finite element simulations. Twenty seven real world case studies are used throughout the book. Many of these cases are industrial or research projects the reader builds from scratch. All the files readers may need if they have trouble are available for download on the publishers website. Companion videos that demonstrate exactly how to preform each tutorial are available to readers by redeeming the access code that comes in the book. Relevant background knowledge is reviewed whenever necessary. To be efficient, the review is conceptual rather than mathematical. Key concepts are inserted whenever appropriate and summarized at the end of each chapter. Additional exercises or extension research problems are provided as homework at the end of each chapter. A learning approach emphasizing hands-on experiences spreads through this entire book. A typical chapter consists of 6 sections. The first two provide two step-by-step examples. The third section tries to complement the exercises by providing a more systematic view of the chapter subject. The following two sections provide more exercises. The final section provides review problems.

Download or read book Finite Element Simulations with ANSYS Workbench 15 written by Huei-Huang Lee and published by SDC Publications. This book was released on 2014 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Element Simulations with ANSYS Workbench 15 is a comprehensive and easy to understand workbook. It utilizes step-by-step instructions to help guide you to learn finite element simulations. Twenty seven real world case studies are used throughout the book. Many of these cases are industrial or research projects you build from scratch. An accompanying DVD contains all the files you may need if you have trouble. Relevant background knowledge is reviewed whenever necessary. To be efficient, the review is conceptual rather than mathematical, short, yet comprehensive. Key concepts are inserted whenever appropriate and summarized at the end of each chapter. Additional exercises or extension research problems are provided as homework at the end of each chapter. A learning approach emphasizing hands-on experiences spreads through this entire book. A typical chapter consists of 6 sections. The first two provide two step-by-step examples. The third section tries to complement the exercises by providing a more systematic view of the chapter subject. The following two sections provide more exercises. The final section provides review problems.

Download or read book Boundary Elements and Other Mesh Reduction Methods XXXVII written by C.A. Brebbia and published by WIT Press. This book was released on 2014-09-08 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since 1978 the conference on Boundary Elements and Mesh Reduction Methods has produced a successful series of volumes in which all major developments in the field have been presented. The 37th volume in the series continues this success by bringing together the latest advanced research carried out by different groups around the world. The included papers cover topics such as: Advanced meshless and mesh reduction methods; Advanced formulations; Computational methods; Stochastic modelling; Emerging applications; Solid mechanics applications; Dynamics and vibrations; Damage mechanics and fracture; Material characterisation; Fluid flow modelling; Electrical engineering and electromagnetics; Heat and mass transfer.

Download or read book Finite Element Simulations with ANSYS Workbench 17 written by Huei-Huang Lee and published by SDC Publications. This book was released on 2017 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Element Simulations with ANSYS Workbench 17 is a comprehensive and easy to understand workbook. Printed in full color, it utilizes rich graphics and step-by-step instructions to guide you through learning how to perform finite element simulations using ANSYS Workbench. Twenty seven real world case studies are used throughout the book. Many of these case studies are industrial or research projects that you build from scratch. Prebuilt project files are available for download should you run into any problems. Companion videos, that demonstrate exactly how to perform each tutorial, are also available Relevant background knowledge is reviewed whenever necessary. To be efficient, the review is conceptual rather than mathematical. Key concepts are inserted whenever appropriate and summarized at the end of each chapter. Additional exercises or extension research problems are provided as homework at the end of each chapter. A learning approach emphasizing hands-on experiences spreads though this entire book. A typical chapter consists of 6 sections. The first two provide two step-by-step examples. The third section tries to complement the exercises by providing a more systematic view of the chapter subject. The following two sections provide more exercises. The final section provides review problems.

Download or read book Finite Element Simulations with ANSYS Workbench 19 written by Huei-Huang Lee and published by SDC Publications. This book was released on 2018-09 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Element Simulations with ANSYS Workbench 19 is a comprehensive and easy to understand workbook. Printed in full color, it utilizes rich graphics and step-by-step instructions to guide you through learning how to perform finite element simulations using ANSYS Workbench. Twenty seven real world case studies are used throughout the book. Many of these case studies are industrial or research projects that you build from scratch. Prebuilt project files are available for download should you run into any problems. Companion videos, that demonstrate exactly how to perform each tutorial, are also available. Relevant background knowledge is reviewed whenever necessary. To be efficient, the review is conceptual rather than mathematical. Key concepts are inserted whenever appropriate and summarized at the end of each chapter. Additional exercises or extension research problems are provided as homework at the end of each chapter. A learning approach emphasizing hands-on experiences is utilized though this entire book. A typical chapter consists of six sections. The first two provide two step-by-step examples. The third section tries to complement the exercises by providing a more systematic view of the chapter subject. The following two sections provide more exercises. The final section provides review problems. Who this book is for This book is designed to be used mainly as a textbook for undergraduate and graduate students. It will work well in: a finite element simulation course taken before any theory-intensive coursesan auxiliary tool used as a tutorial in parallel during a Finite Element Methods coursean advanced, application oriented, course taken after a Finite Element Methods course

Download or read book Designing Fair Curves and Surfaces written by Nickolas S. Sapidis and published by SIAM. This book was released on 1994-01-01 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This state-of-the-art study of the techniques used for designing curves and surfaces for computer-aided design applications focuses on the principle that fair shapes are always free of unessential features and are simple in design. The authors define fairness mathematically, demonstrate how newly developed curve and surface schemes guarantee fairness, and assist the user in identifying and removing shape aberrations in a surface model without destroying the principal shape characteristics of the model. Aesthetic aspects of geometric modeling are of vital importance in industrial design and modeling, particularly in the automobile and aerospace industries. Any engineer working in computer-aided design, computer-aided manufacturing, or computer-aided engineering will want to add this volume to his or her library. Researchers who have a familiarity with basic techniques in computer-aided graphic design and some knowledge of differential geometry will find this book a helpful reference. It is essential reading for statisticians working on approximation or smoothing of data with mathematical curves or surfaces.

Download or read book Finite Element Simulations with ANSYS Workbench 18 written by Huei-Huang Lee and published by SDC Publications. This book was released on 2018 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Element Simulations with ANSYS Workbench 18 is a comprehensive and easy to understand workbook. Printed in full color, it utilizes rich graphics and step-by-step instructions to guide you through learning how to perform finite element simulations using ANSYS Workbench. Twenty seven real world case studies are used throughout the book. Many of these case studies are industrial or research projects that you build from scratch. Prebuilt project files are available for download should you run into any problems. Companion videos, that demonstrate exactly how to perform each tutorial, are also available. Relevant background knowledge is reviewed whenever necessary. To be efficient, the review is conceptual rather than mathematical. Key concepts are inserted whenever appropriate and summarized at the end of each chapter. Additional exercises or extension research problems are provided as homework at the end of each chapter. A learning approach emphasizing hands-on experiences is utilized though this entire book. A typical chapter consists of six sections. The first two provide two step-by-step examples. The third section tries to complement the exercises by providing a more systematic view of the chapter subject. The following two sections provide more exercises. The final section provides review problems.

Download or read book Applied mechanics reviews written by and published by . This book was released on 1948 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Finite Element Simulations with ANSYS Workbench 2021 written by Huei-Huang Lee and published by SDC Publications. This book was released on 2021-07 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: • A comprehensive easy to understand workbook using step-by-step instructions • Designed as a textbook for undergraduate and graduate students • Relevant background knowledge is reviewed whenever necessary • Twenty seven real world case studies are used to give readers hands-on experience • Comes with video demonstrations of all 45 exercises • Compatible with ANSYS Student 2021 • Printed in full color Finite Element Simulations with ANSYS Workbench 2021 is a comprehensive and easy to understand workbook. Printed in full color, it utilizes rich graphics and step-by-step instructions to guide you through learning how to perform finite element simulations using ANSYS Workbench. Twenty seven real world case studies are used throughout the book. Many of these case studies are industrial or research projects that you build from scratch. Prebuilt project files are available for download should you run into any problems. Companion videos, that demonstrate exactly how to perform each tutorial, are also available. Relevant background knowledge is reviewed whenever necessary. To be efficient, the review is conceptual rather than mathematical. Key concepts are inserted whenever appropriate and summarized at the end of each chapter. Additional exercises or extension research problems are provided as homework at the end of each chapter. A learning approach emphasizing hands-on experiences is utilized though this entire book. A typical chapter consists of six sections. The first two provide two step-by-step examples. The third section tries to complement the exercises by providing a more systematic view of the chapter subject. The following two sections provide more exercises. The final section provides review problems. Who this book is for This book is designed to be used mainly as a textbook for undergraduate and graduate students. It will work well in: • a finite element simulation course taken before any theory-intensive courses • an auxiliary tool used as a tutorial in parallel during a Finite Element Methods course • an advanced, application oriented, course taken after a Finite Element Methods course About the Videos Each copy of this book includes access to video instruction. In these videos the author provides a clear presentation of tutorials found in the book. The videos reinforce the steps described in the book by allowing you to watch the exact steps the author uses to complete the exercises. Table of Contents 1. Introduction 2. Sketching 3. 2D Simulations 4. 3D Solid Modeling 5. 3D Simulations 6. Surface Models 7. Line Models 8. Optimization 9. Meshing 10. Buckling and Stress Stiffening 11. Modal Analysis 12. Transient Structural Simulations 13. Nonlinear Simulations 14. Nonlinear Materials 15. Explicit Dynamics Index

Download or read book NASA SP written by and published by . This book was released on 1993 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Geometric Modeling and Mesh Generation from Scanned Images written by Yongjie Jessica Zhang and published by CRC Press. This book was released on 2018-09-03 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cutting-Edge Techniques to Better Analyze and Predict Complex Physical Phenomena Geometric Modeling and Mesh Generation from Scanned Images shows how to integrate image processing, geometric modeling, and mesh generation with the finite element method (FEM) to solve problems in computational biology, medicine, materials science, and engineering. Based on the author’s recent research and course at Carnegie Mellon University, the text explains the fundamentals of medical imaging, image processing, computational geometry, mesh generation, visualization, and finite element analysis. It also explores novel and advanced applications in computational biology, medicine, materials science, and other engineering areas. One of the first to cover this emerging interdisciplinary field, the book addresses biomedical/material imaging, image processing, geometric modeling and visualization, FEM, and biomedical and engineering applications. It introduces image-mesh-simulation pipelines, reviews numerical methods used in various modules of the pipelines, and discusses several scanning techniques, including ones to probe polycrystalline materials. The book next presents the fundamentals of geometric modeling and computer graphics, geometric objects and transformations, and curves and surfaces as well as two isocontouring methods: marching cubes and dual contouring. It then describes various triangular/tetrahedral and quadrilateral/hexahedral mesh generation techniques. The book also discusses volumetric T-spline modeling for isogeometric analysis (IGA) and introduces some new developments of FEM in recent years with applications.