Meshing Geometric Modeling And Numerical Simulation 1

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Meshing, Geometric Modeling and Numerical Simulation 1

Houman Borouchaki,Paul Louis George
Meshing Geometric Modeling and Numerical Simulation 1 Book PDF

Author : Houman Borouchaki,Paul Louis George
Publisher : John Wiley & Sons
Page : 389 pages
File Size : 41,5 Mb
Release : 2017-11-29
Category : Mathematics
ISBN : 9781786300386

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Meshing, Geometric Modeling and Numerical Simulation 1 by Houman Borouchaki,Paul Louis George Pdf

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 the 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 meshing vision.

Meshing, Geometric Modeling and Numerical Simulation 3

Paul Louis George,Frédéric Alauzet,Adrien Loseille,Loïc Maréchal
Meshing Geometric Modeling and Numerical Simulation 3 Book PDF

Author : Paul Louis George,Frédéric Alauzet,Adrien Loseille,Loïc Maréchal
Publisher : John Wiley & Sons
Page : 352 pages
File Size : 45,7 Mb
Release : 2020-12-22
Category : Mathematics
ISBN : 9781786306098

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Meshing, Geometric Modeling and Numerical Simulation 3 by Paul Louis George,Frédéric Alauzet,Adrien Loseille,Loïc Maréchal Pdf

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 Volume 1, the theoretical foundations relating to triangulations, finite element shape functions and their interpretations as geometric patches were explored. This has made it possible to build tools that make the geometric modeling of any object possible. These elements are used in Volume 2 to treat meshing problems in their different implementations. Meshing, Geometric Modeling and Numerical Simulation 3 offers technical additions to the methods seen in the first two volumes and a significant portion of this book is dedicated to mesh visualization problems and solutions, especially those with a high degree of complexity.

Meshing, Geometric Modeling and Numerical Simulation, Volume 2

Paul Louis George,Houman Borouchaki,Frederic Alauzet,Patrick Laug,Adrien Loseille,Loic Marechal
Meshing Geometric Modeling and Numerical Simulation Volume 2 Book PDF

Author : Paul Louis George,Houman Borouchaki,Frederic Alauzet,Patrick Laug,Adrien Loseille,Loic Marechal
Publisher : John Wiley & Sons
Page : 409 pages
File Size : 50,6 Mb
Release : 2019-01-25
Category : Mathematics
ISBN : 9781119384366

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Meshing, Geometric Modeling and Numerical Simulation, Volume 2 by Paul Louis George,Houman Borouchaki,Frederic Alauzet,Patrick Laug,Adrien Loseille,Loic Marechal Pdf

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.

Meshing, Geometric Modeling and Numerical Simulation, Volume 2

Paul Louis George,Houman Borouchaki,Frederic Alauzet,Patrick Laug,Adrien Loseille,Loic Marechal
Meshing Geometric Modeling and Numerical Simulation Volume 2 Book PDF

Author : Paul Louis George,Houman Borouchaki,Frederic Alauzet,Patrick Laug,Adrien Loseille,Loic Marechal
Publisher : John Wiley & Sons
Page : 408 pages
File Size : 49,7 Mb
Release : 2019-01-24
Category : Mathematics
ISBN : 9781119384359

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Meshing, Geometric Modeling and Numerical Simulation, Volume 2 by Paul Louis George,Houman Borouchaki,Frederic Alauzet,Patrick Laug,Adrien Loseille,Loic Marechal Pdf

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.

Meshing, Geometric Modeling and Numerical Simulation 3

Paul Louis George,Frédéric Alauzet,Adrien Loseille,Loïc Maréchal
Meshing Geometric Modeling and Numerical Simulation 3 Book PDF

Author : Paul Louis George,Frédéric Alauzet,Adrien Loseille,Loïc Maréchal
Publisher : John Wiley & Sons
Page : 352 pages
File Size : 46,7 Mb
Release : 2020-11-06
Category : Mathematics
ISBN : 9781119788058

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Meshing, Geometric Modeling and Numerical Simulation 3 by Paul Louis George,Frédéric Alauzet,Adrien Loseille,Loïc Maréchal Pdf

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 Volume 1, the theoretical foundations relating to triangulations, finite element shape functions and their interpretations as geometric patches were explored. This has made it possible to build tools that make the geometric modeling of any object possible. These elements are used in Volume 2 to treat meshing problems in their different implementations. Meshing, Geometric Modeling and Numerical Simulation 3 offers technical additions to the methods seen in the first two volumes and a significant portion of this book is dedicated to mesh visualization problems and solutions, especially those with a high degree of complexity.

Advanced Methods for Geometric Modeling and Numerical Simulation

Carlotta Giannelli,Hendrik Speleers
Advanced Methods for Geometric Modeling and Numerical Simulation Book PDF

Author : Carlotta Giannelli,Hendrik Speleers
Publisher : Springer Nature
Page : 238 pages
File Size : 45,8 Mb
Release : 2019-09-18
Category : Mathematics
ISBN : 9783030273316

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Advanced Methods for Geometric Modeling and Numerical Simulation by Carlotta Giannelli,Hendrik Speleers Pdf

This book gathers selected contributions presented at the INdAM Workshop “DREAMS”, held in Rome, Italy on January 22−26, 2018. Addressing cutting-edge research topics and advances in computer aided geometric design and isogeometric analysis, it covers distinguishing curve/surface constructions and spline models, with a special focus on emerging adaptive spline constructions, fundamental spline theory and related algorithms, as well as various aspects of isogeometric methods, e.g. efficient quadrature rules and spectral analysis for isogeometric B-spline discretizations. Applications in finite element and boundary element methods are also discussed. Given its scope, the book will be of interest to both researchers and graduate students working in these areas.

Geometric Modelling, Numerical Simulation, and Optimization:

Geir Hasle,Knut-Andreas Lie,Ewald Quak
Geometric Modelling Numerical Simulation and Optimization Book PDF

Author : Geir Hasle,Knut-Andreas Lie,Ewald Quak
Publisher : Springer Science & Business Media
Page : 559 pages
File Size : 41,7 Mb
Release : 2007-06-10
Category : Mathematics
ISBN : 9783540687832

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Geometric Modelling, Numerical Simulation, and Optimization: by Geir Hasle,Knut-Andreas Lie,Ewald Quak Pdf

This edited volume addresses the importance of mathematics for industry and society by presenting highlights from contract research at the Department of Applied Mathematics at SINTEF, the largest independent research organization in Scandinavia. Examples range from computer-aided geometric design, via general purpose computing on graphics cards, to reservoir simulation for enhanced oil recovery. Contributions are written in a tutorial style.

Numerical Simulation, An Art of Prediction, Volume 2

Jean-François Sigrist
Numerical Simulation An Art of Prediction Volume 2 Book PDF

Author : Jean-François Sigrist
Publisher : John Wiley & Sons
Page : 324 pages
File Size : 42,9 Mb
Release : 2020-01-08
Category : Mathematics
ISBN : 9781119694755

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Numerical Simulation, An Art of Prediction, Volume 2 by Jean-François Sigrist Pdf

Numerical simulation is a technique of major importance in various technical and scientific fields. Whilst engineering curricula now include training courses dedicated to it, numerical simulation is still not well-known in some economic sectors, and even less so among the general public. Simulation involves the mathematical modeling of the real world, coupled with the computing power offered by modern technology. Designed to perform virtual experiments, digital simulation can be considered as an "art of prediction". Embellished with a rich iconography and based on the testimony of researchers and engineers, this book shines a light on this little-known art. It is the second of two volumes and gives examples of the uses of numerical simulation in various scientific and technical fields: agriculture, industry, Earth and universe sciences, meteorology and climate studies, energy, biomechanics and human and social sciences.

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 : 44,9 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.

The Finite Element Method

Patrick Ciarlet,Eric Luneville
The Finite Element Method Book PDF

Author : Patrick Ciarlet,Eric Luneville
Publisher : John Wiley & Sons
Page : 404 pages
File Size : 50,9 Mb
Release : 2023-07-26
Category : Mathematics
ISBN : 9781394229741

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The Finite Element Method by Patrick Ciarlet,Eric Luneville Pdf

The finite element method, which emerged in the 1950s to deal with structural mechanics problems, has since undergone continuous development. Using partial differential equation models, it is now present in such fields of application as mechanics, physics, chemistry, economics, finance and biology. It is also used in most scientific computing software, and many engineers become adept at using it in their modeling and numerical simulation activities. This book presents all the essential elements of the finite element method in a progressive and didactic way: the theoretical foundations, practical considerations of implementation, algorithms, as well as numerical illustrations created in MATLAB. Original exercises with detailed answers are provided at the end of each chapter.

IGA: Non-Invasive Coupling with FEM and Regularization of Digital Image Correlation Problems, Volume 2

Robin Bouclier,Jean-Charles Passieux
IGA Non Invasive Coupling with FEM and Regularization of Digital Image Correlation Problems Volume 2 Book PDF

Author : Robin Bouclier,Jean-Charles Passieux
Publisher : John Wiley & Sons
Page : 244 pages
File Size : 43,9 Mb
Release : 2023-07-26
Category : Mathematics
ISBN : 9781394229628

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IGA: Non-Invasive Coupling with FEM and Regularization of Digital Image Correlation Problems, Volume 2 by Robin Bouclier,Jean-Charles Passieux Pdf

Isogeometric analysis (IGA) consists of using the same higher-order and smooth spline functions for the representation of geometry in Computer Aided Design as for the approximation of solution fields in Finite Element Analysis. Now, almost twenty years after its creation, substantial works are being reported in IGA, making it very competitive in scientific computing. This book proposes to use IGA jointly with standard finite element methods (FEM), presenting IGA as a projection of FEM on a more regular reduced basis. By shedding new light on how IGA relates to FEM, we can see how IGA can be implemented on top of an FE code in order to improve the solution of problems that require more regularity. This is illustrated by using IGA with FEM in a non-invasive fashion to perform efficient and robust multiscale global/local simulations in solid mechanics. Furthermore, we show that IGA can regularize the inverse problem of FE digital image correlation in experimental mechanics.

Finite Element Method to Model Electromagnetic Systems in Low Frequency

Francis Piriou,Stephane Clenet
Finite Element Method to Model Electromagnetic Systems in Low Frequency Book PDF

Author : Francis Piriou,Stephane Clenet
Publisher : John Wiley & Sons
Page : 243 pages
File Size : 44,5 Mb
Release : 2024-02-23
Category : Science
ISBN : 9781394276479

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Finite Element Method to Model Electromagnetic Systems in Low Frequency by Francis Piriou,Stephane Clenet Pdf

Numerical modeling now plays a central role in the design and study of electromagnetic systems. In the field of devices operating in low frequency, it is the finite element method that has come to the fore in recent decades. Today, it is widely used by engineers and researchers in industry, as well as in research centers. This book describes in detail all the steps required to discretize Maxwell’s equations using the finite element method. This involves progressing from the basic equations in the continuous domain to equations in the discrete domain that are solved by a computer. This approach is carried out with a constant focus on maintaining a link between physics, i.e. the properties of electromagnetic fields, and numerical analysis. Numerous academic examples, which are used throughout the various stages of model construction, help to clarify the developments.

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 : 46,9 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.

Geometric Modelling, Numerical Simulation, and Optimization:

Geir Hasle,Knut-Andreas Lie,Ewald Quak
Geometric Modelling Numerical Simulation and Optimization Book PDF

Author : Geir Hasle,Knut-Andreas Lie,Ewald Quak
Publisher : Springer
Page : 558 pages
File Size : 55,6 Mb
Release : 2009-09-02
Category : Mathematics
ISBN : 3540834184

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Geometric Modelling, Numerical Simulation, and Optimization: by Geir Hasle,Knut-Andreas Lie,Ewald Quak Pdf

This edited volume addresses the importance of mathematics for industry and society by presenting highlights from contract research at the Department of Applied Mathematics at SINTEF, the largest independent research organization in Scandinavia. Examples range from computer-aided geometric design, via general purpose computing on graphics cards, to reservoir simulation for enhanced oil recovery. Contributions are written in a tutorial style.

Computer Graphics and Geometric Modelling

Max K. Agoston
Computer Graphics and Geometric Modelling Book PDF

Author : Max K. Agoston
Publisher : Springer Science & Business Media
Page : 984 pages
File Size : 51,7 Mb
Release : 2005-02
Category : Computers
ISBN : 1852338172

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Computer Graphics and Geometric Modelling by Max K. Agoston Pdf

The second book of a two-volume work in which the author presents an overview of computer graphics as seen in the context of geometric modeling and the mathematics required to understand the subject.