Anisotropic Hp Mesh Adaptation Methods

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Anisotropic hp-Mesh Adaptation Methods

Vít Dolejší,Georg May
Anisotropic hp Mesh Adaptation Methods Book PDF

Author : Vít Dolejší,Georg May
Publisher : Springer Nature
Page : 258 pages
File Size : 41,9 Mb
Release : 2022-06-06
Category : Mathematics
ISBN : 9783031042799

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Anisotropic hp-Mesh Adaptation Methods by Vít Dolejší,Georg May Pdf

Mesh adaptation methods can have a profound impact on the numerical solution of partial differential equations. If devised and implemented properly, adaptation significantly reduces the size of the algebraic systems resulting from the discretization, while ensuring that applicable error tolerances are met. In this monograph, drawing from many years of experience, the authors give a comprehensive presentation of metric-based anisotropic hp-mesh adaptation methods. A large part of this monograph is devoted to the derivation of computable interpolation error estimates on simplicial meshes, which take into account the geometry of mesh elements as well as the anisotropic features of the interpolated function. These estimates are then used for the optimization of corresponding finite element spaces in a variety of settings. Both steady and time dependent problems are treated, as well as goal-oriented adaptation. Practical aspects of implementation are also explored, including several algorithms. Many numerical experiments using the discontinuous Galerkin method are presented to illustrate the performance of the adaptive techniques. This monograph is intended for scientists and researchers, including doctoral and master-level students. Portions of the text can also be used as study material for advanced university lectures concerning a posteriori error analysis and mesh adaptation.

Mesh Adaptation for Computational Fluid Dynamics, Volume 2

Alain Dervieux,Frederic Alauzet,Adrien Loseille,Bruno Koobus
Mesh Adaptation for Computational Fluid Dynamics Volume 2 Book PDF

Author : Alain Dervieux,Frederic Alauzet,Adrien Loseille,Bruno Koobus
Publisher : John Wiley & Sons
Page : 244 pages
File Size : 45,9 Mb
Release : 2022-09-21
Category : Science
ISBN : 9781786308320

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Mesh Adaptation for Computational Fluid Dynamics, Volume 2 by Alain Dervieux,Frederic Alauzet,Adrien Loseille,Bruno Koobus Pdf

Simulation technology, and computational fluid dynamics (CFD) in particular, is essential in the search for solutions to the modern challenges faced by humanity. Revolutions in CFD over the last decade include the use of unstructured meshes, permitting the modeling of any 3D geometry. New frontiers point to mesh adaptation, allowing not only seamless meshing (for the engineer) but also simulation certification for safer products and risk prediction. Mesh Adaptation for Computational Dynamics 2 is the second of two volumes and introduces topics including optimal control formulation, minimizing a goal function, and extending the steady algorithm to unsteady physics. Also covered are multi-rate strategies, steady inviscid flows in aeronautics and an extension to viscous flows. This book will be useful to anybody interested in mesh adaptation pertaining to CFD, especially researchers, teachers and students.

Mesh Adaptation for Computational Fluid Dynamics, Volume 1

Alain Dervieux,Frederic Alauzet,Adrien Loseille,Bruno Koobus
Mesh Adaptation for Computational Fluid Dynamics Volume 1 Book PDF

Author : Alain Dervieux,Frederic Alauzet,Adrien Loseille,Bruno Koobus
Publisher : John Wiley & Sons
Page : 260 pages
File Size : 52,6 Mb
Release : 2022-08-30
Category : Science
ISBN : 9781394163984

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Mesh Adaptation for Computational Fluid Dynamics, Volume 1 by Alain Dervieux,Frederic Alauzet,Adrien Loseille,Bruno Koobus Pdf

Simulation technology, and computational fluid dynamics (CFD) in particular, is essential in the search for solutions to the modern challenges faced by humanity. Revolutions in CFD over the last decade include the use of unstructured meshes, permitting the modeling of any 3D geometry. New frontiers point to mesh adaptation, allowing not only seamless meshing (for the engineer) but also simulation certification for safer products and risk prediction. Mesh Adaptation for Computational Dynamics 1 is the first of two volumes and introduces basic methods such as feature-based and multiscale adaptation for steady models. Also covered is the continuous Riemannian metrics formulation which models the optimally adapted mesh problem into a pure partial differential statement. A number of mesh adaptative methods are defined based on a particular feature of the simulation solution. This book will be useful to anybody interested in mesh adaptation pertaining to CFD, especially researchers, teachers and students.

Fast Solvers for Mesh-Based Computations

Maciej Paszynski
Fast Solvers for Mesh Based Computations Book PDF

Author : Maciej Paszynski
Publisher : CRC Press
Page : 347 pages
File Size : 47,5 Mb
Release : 2016-01-05
Category : Mathematics
ISBN : 9781498754200

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Fast Solvers for Mesh-Based Computations by Maciej Paszynski Pdf

Fast Solvers for Mesh-Based Computations presents an alternative way of constructing multi-frontal direct solver algorithms for mesh-based computations. It also describes how to design and implement those algorithms.The book's structure follows those of the matrices, starting from tri-diagonal matrices resulting from one-dimensional mesh-based meth

Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020+1

Jens M. Melenk,Ilaria Perugia,Joachim Schöberl,Christoph Schwab
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020 1 Book PDF

Author : Jens M. Melenk,Ilaria Perugia,Joachim Schöberl,Christoph Schwab
Publisher : Springer Nature
Page : 571 pages
File Size : 42,6 Mb
Release : 2023-06-30
Category : Mathematics
ISBN : 9783031204326

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Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020+1 by Jens M. Melenk,Ilaria Perugia,Joachim Schöberl,Christoph Schwab Pdf

The volume features high-quality papers based on the presentations at the ICOSAHOM 2020+1 on spectral and high order methods. The carefully reviewed articles cover state of the art topics in high order discretizations of partial differential equations. The volume presents a wide range of topics including the design and analysis of high order methods, the development of fast solvers on modern computer architecture, and the application of these methods in fluid and structural mechanics computations.

Handbook of Numerical Methods for Hyperbolic Problems

Remi Abgrall,Chi-Wang Shu
Handbook of Numerical Methods for Hyperbolic Problems Book PDF

Author : Remi Abgrall,Chi-Wang Shu
Publisher : Elsevier
Page : 610 pages
File Size : 40,6 Mb
Release : 2017-01-16
Category : Mathematics
ISBN : 9780444639110

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Handbook of Numerical Methods for Hyperbolic Problems by Remi Abgrall,Chi-Wang Shu Pdf

Handbook on Numerical Methods for Hyperbolic Problems: Applied and Modern Issues details the large amount of literature in the design, analysis, and application of various numerical algorithms for solving hyperbolic equations that has been produced in the last several decades. 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 become familiar with their relative advantages and limitations. Provides detailed, cutting-edge background explanations of existing algorithms and their analysis Presents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or those involved in applications Written by leading subject experts in each field, the volumes provide breadth and depth of content coverage

Finite Element Mesh Generation

Daniel S.H. Lo
Finite Element Mesh Generation Book PDF

Author : Daniel S.H. Lo
Publisher : CRC Press
Page : 676 pages
File Size : 50,9 Mb
Release : 2015-01-15
Category : Technology & Engineering
ISBN : 9780415690485

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Finite Element Mesh Generation by Daniel S.H. Lo Pdf

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.

IDIHOM: Industrialization of High-Order Methods - A Top-Down Approach

Norbert Kroll,Charles Hirsch,Francesco Bassi,Craig Johnston,Koen Hillewaert
IDIHOM Industrialization of High Order Methods A Top Down Approach Book PDF

Author : Norbert Kroll,Charles Hirsch,Francesco Bassi,Craig Johnston,Koen Hillewaert
Publisher : Springer
Page : 686 pages
File Size : 55,8 Mb
Release : 2015-01-02
Category : Technology & Engineering
ISBN : 9783319128863

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IDIHOM: Industrialization of High-Order Methods - A Top-Down Approach by Norbert Kroll,Charles Hirsch,Francesco Bassi,Craig Johnston,Koen Hillewaert Pdf

The book describes the main findings of the EU-funded project IDIHOM (Industrialization of High-Order Methods – A Top-Down Approach). The goal of this project was the improvement, utilization and demonstration of innovative higher-order simulation capabilities for large-scale aerodynamic application challenges in the aircraft industry. The IDIHOM consortium consisted of 21 organizations, including aircraft manufacturers, software vendors, as well as the major European research establishments and several universities, all of them with proven expertise in the field of computational fluid dynamics. After a general introduction to the project, the book reports on new approaches for curved boundary-grid generation, high-order solution methods and visualization techniques. It summarizes the achievements, weaknesses and perspectives of the new simulation capabilities developed by the project partners for various industrial applications, and includes internal- and external-aerodynamic as well as multidisciplinary test cases.

Anisotropic Doubly-Curved Shells

Francesco Tornabene,Michele Bacciocchi
Anisotropic Doubly Curved Shells Book PDF

Author : Francesco Tornabene,Michele Bacciocchi
Publisher : Società Editrice Esculapio
Page : 1199 pages
File Size : 54,9 Mb
Release : 2019-11-01
Category : Technology & Engineering
ISBN : 9788835328995

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Anisotropic Doubly-Curved Shells by Francesco Tornabene,Michele Bacciocchi Pdf

This book aims to present in depth several Higher-order Shear Deformation Theories (HSDTs) by means of a unified approach for the mechanical analysis of doubly-curved shell structures made of anisotropic and composite materials. In particular, the strong and weak formulations of the corresponding governing equations are discussed and illustrated. The approach presented in this volume is completely general and represents a valid tool to investigate the structural behavior of many arbitrarily shaped structures. An isogeometric mapping procedure is also illustrated to this aim. Special attention is given also to advanced and innovative constituents, such as Carbon Nanotubes (CNTs), Variable Angle Tow (VAT) composites and Functionally Graded Materials (FGMs). In addition, several numerical applications are developed to support the theoretical models. Accurate, efficient and reliable numerical techniques able to approximate both derivatives and integrals are presented, which are respectively the Differential Quadrature (DQ) and Integral Quadrature (IQ) methods. Finally, two numerical techniques, named Strong Formulation Finite Element Method (SFEM) and Weak Formulation Finite Element Method (WFEM), are developed to deal with multi-element domains characterized by arbitrary shapes and discontinuities.

ADIGMA – A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications

Norbert Kroll,Heribert Bieler,Herman Deconinck,Vincent Couaillier,Harmen van der Ven,Kaare Sorensen
ADIGMA A European Initiative on the Development of Adaptive Higher Order Variational Methods for Aerospace Applications Book PDF

Author : Norbert Kroll,Heribert Bieler,Herman Deconinck,Vincent Couaillier,Harmen van der Ven,Kaare Sorensen
Publisher : Springer Science & Business Media
Page : 498 pages
File Size : 44,8 Mb
Release : 2010-09-18
Category : Technology & Engineering
ISBN : 9783642037078

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ADIGMA – A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications by Norbert Kroll,Heribert Bieler,Herman Deconinck,Vincent Couaillier,Harmen van der Ven,Kaare Sorensen Pdf

This volume contains results gained from the EU-funded 6th Framework project ADIGMA (Adaptive Higher-order Variational Methods for Aerodynamic Applications in Industry). The goal of ADIGMA was the development and utilization of innovative adaptive higher-order methods for the compressible flow equations enabling reliable, mesh independent numerical solutions for large-scale aerodynamic applications in aircraft industry. The ADIGMA consortium was comprised of 22 organizations which included the main European aircraft manufacturers, the major European research establishments and several universities, all with well proven expertise in Computational Fluid Dynamics (CFD). The book presents an introduction to the project, exhibits partners’ methods and approaches and provides a critical assessment of the newly developed methods for industrial aerodynamic applications. The best numerical strategies for integration as major building blocks for the next generation of industrial flow solvers are identified.

Error Control, Adaptive Discretizations, and Applications, Part 1

Anonim
Error Control Adaptive Discretizations and Applications Part 1 Book PDF

Author : Anonim
Publisher : Academic Press
Page : 0 pages
File Size : 52,7 Mb
Release : 2024-06-01
Category : Science
ISBN : 0443294488

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Error Control, Adaptive Discretizations, and Applications, Part 1 by Anonim Pdf

Error Control, Adaptive Discretizations, and Applications, Volume 58, Part One highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors. Chapters in this release cover hp adaptive Discontinuous Galerkin strategies driven by a posteriori error estimation with application to aeronautical flow problems, An anisotropic mesh adaptation method based on gradient recovery and optimal shape elements, and Model reduction techniques for parametrized nonlinear partial differential equations.

Hygro-Thermo-Magneto-Electro-Elastic Theory of Anisotropic Doubly-Curved Shells

Francesco Tornabene
Hygro Thermo Magneto Electro Elastic Theory of Anisotropic Doubly Curved Shells Book PDF

Author : Francesco Tornabene
Publisher : Società Editrice Esculapio
Page : 1073 pages
File Size : 40,5 Mb
Release : 2023-10-13
Category : Technology & Engineering
ISBN : 9791222459431

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Hygro-Thermo-Magneto-Electro-Elastic Theory of Anisotropic Doubly-Curved Shells by Francesco Tornabene Pdf

This book aims to present in depth several Higher-order Shear Deformation Theories (HSDTs) by means of a unified approach for studying the Hygro-Thermo-Magneto-Electro- Elastic Theory of Anisotropic Doubly-Curved Shells. In particular, a general coupled multifield theory regarding anisotropic shell structures is provided. The three-dimensional multifield problem is reduced in a two-dimensional one following the principles of the Equivalent Single Layer (ESL) approach and the Equivalent Layer-Wise (ELW) approach, setting a proper configuration model. According to the adopted configuration assumptions, several Higher-order Shear Deformation Theories (HSDTs) are obtained. Furthermore, the strong and weak formulations of the corresponding governing equations are discussed and illustrated. The approach presented in this volume is completely general and represents a valid tool to investigate the physical behavior of many arbitrarily shaped structures. An isogeometric mapping procedure is also illustrated to this aim. Special attention is given also to advanced and innovative constituents, such as Carbon Nanotubes (CNTs), Variable Angle Tow (VAT) composites and Functionally Graded Materials (FGMs). In addition, several numerical applications are used to support the theoretical models. Accurate, efficient and reliable numerical techniques able to approximate both derivatives and integrals are considered, which are respectively the Differential Quadrature (DQ) and Integral Quadrature (IQ) methods. The Theory of Composite Thin Shells is derived in a simple and intuitive manner from the theory of thick and moderately thick shells (First-order Shear Deformation Theory or Reissner- Mindlin Theory). In particular, the Kirchhoff-Love Theory and the Membrane Theory for composite shells are shown. Furthermore, the Theory of Composite Arches and Beams is also exposed. In particular, the equations of the Timoshenko Theory and the Euler-Bernoulli Theory are directly deducted from the equations of singly-curved shells of translation and of plates.

Error Control, Adaptive Discretizations, and Applications, Part 2

Anonim
Error Control Adaptive Discretizations and Applications Part 2 Book PDF

Author : Anonim
Publisher : Academic Press
Page : 0 pages
File Size : 47,9 Mb
Release : 2024-11-01
Category : Science
ISBN : 044329450X

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Error Control, Adaptive Discretizations, and Applications, Part 2 by Anonim Pdf

Error Control, Adaptive Discretizations, and Applications, Volume 59, Part Two highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors. Chapters in this release cover hp adaptive Discontinuous Galerkin strategies driven by a posteriori error estimation with application to aeronautical flow problems, An anisotropic mesh adaptation method based on gradient recovery and optimal shape elements, and Model reduction techniques for parametrized nonlinear partial differential equations.

The Finite Element Method Set

Olek C Zienkiewicz,Robert L Taylor
The Finite Element Method Set Book PDF

Author : Olek C Zienkiewicz,Robert L Taylor
Publisher : Elsevier
Page : 1872 pages
File Size : 49,7 Mb
Release : 2005-11-25
Category : Technology & Engineering
ISBN : 0080531679

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The Finite Element Method Set by Olek C Zienkiewicz,Robert L Taylor Pdf

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

The Finite Element Method for Fluid Dynamics

Olek C Zienkiewicz,Robert L Taylor,P. Nithiarasu
The Finite Element Method for Fluid Dynamics Book PDF

Author : Olek C Zienkiewicz,Robert L Taylor,P. Nithiarasu
Publisher : Elsevier
Page : 400 pages
File Size : 44,6 Mb
Release : 2005-12-08
Category : Science
ISBN : 9780080455594

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The Finite Element Method for Fluid Dynamics by Olek C Zienkiewicz,Robert L Taylor,P. Nithiarasu Pdf

Dealing with general problems in fluid mechanics, convection diffusion, compressible and incompressible laminar and turbulent flow, shallow water flows and waves, this is the leading text and reference for engineers working with fluid dynamics in fields including aerospace engineering, vehicle design, thermal engineering and many other engineering applications. The new edition is a complete fluids text and reference in its own right. Along with its companion volumes it forms part of the indispensable Finite Element Method series. New material in this edition includes sub-grid scale modelling; artificial compressibility; full new chapters on turbulent flows, free surface flows and porous medium flows; expanded shallow water flows plus long, medium and short waves; and advances in parallel computing. A complete, stand-alone reference on fluid mechanics applications of the FEM for mechanical, aeronautical, automotive, marine, chemical and civil engineers. Extensive new coverage of turbulent flow and free surface treatments