Meshing Geometric Modeling And Numerical Simulation 1

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Meshing, Geometric Modeling and Numerical Simulation 1

Author : Houman Borouchaki
Publisher : John Wiley & Sons
ISBN 13 : 1786300389
Total Pages : 389 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Meshing, Geometric Modeling and Numerical Simulation 1 by : Houman Borouchaki

Download or read book Meshing, Geometric Modeling and Numerical Simulation 1 written by Houman Borouchaki and published by John Wiley & Sons. This book was released on 2017-11-29 with total page 389 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 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

Author : Paul Louis George
Publisher : John Wiley & Sons
ISBN 13 : 1119788056
Total Pages : 352 pages
Book Rating : 4.1/5 (197 download)

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Book Synopsis Meshing, Geometric Modeling and Numerical Simulation 3 by : Paul Louis George

Download or read book Meshing, Geometric Modeling and Numerical Simulation 3 written by Paul Louis George and published by John Wiley & Sons. This book was released on 2020-11-06 with total page 352 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 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

Author : Paul Louis George
Publisher : John Wiley & Sons
ISBN 13 : 1119384354
Total Pages : 408 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis Meshing, Geometric Modeling and Numerical Simulation, Volume 2 by : Paul Louis George

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 2019-01-24 with total page 408 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.

Meshing, Geometric Modeling and Numerical Simulation 3

Author : Paul Louis George
Publisher : John Wiley & Sons
ISBN 13 : 1119788064
Total Pages : 352 pages
Book Rating : 4.1/5 (197 download)

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Book Synopsis Meshing, Geometric Modeling and Numerical Simulation 3 by : Paul Louis George

Download or read book Meshing, Geometric Modeling and Numerical Simulation 3 written by Paul Louis George and published by John Wiley & Sons. This book was released on 2020-11-04 with total page 352 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 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

Author : Carlotta Giannelli
Publisher : Springer Nature
ISBN 13 : 3030273318
Total Pages : 238 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Advanced Methods for Geometric Modeling and Numerical Simulation by : Carlotta Giannelli

Download or read book Advanced Methods for Geometric Modeling and Numerical Simulation written by Carlotta Giannelli and published by Springer Nature. This book was released on 2019-09-18 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Numerical Simulation, An Art of Prediction, Volume 2

Author : Jean-François Sigrist
Publisher : John Wiley & Sons
ISBN 13 : 1119694752
Total Pages : 324 pages
Book Rating : 4.1/5 (196 download)

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Book Synopsis Numerical Simulation, An Art of Prediction, Volume 2 by : Jean-François Sigrist

Download or read book Numerical Simulation, An Art of Prediction, Volume 2 written by Jean-François Sigrist and published by John Wiley & Sons. This book was released on 2020-01-08 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Alain Dervieux
Publisher : John Wiley & Sons
ISBN 13 : 1394163983
Total Pages : 260 pages
Book Rating : 4.3/5 (941 download)

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Book Synopsis Mesh Adaptation for Computational Fluid Dynamics, Volume 1 by : Alain Dervieux

Download or read book Mesh Adaptation for Computational Fluid Dynamics, Volume 1 written by Alain Dervieux and published by John Wiley & Sons. This book was released on 2022-08-30 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Geometric Modelling, Numerical Simulation, and Optimization:

Author : Geir Hasle
Publisher : Springer Science & Business Media
ISBN 13 : 3540687831
Total Pages : 559 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Geometric Modelling, Numerical Simulation, and Optimization: by : Geir Hasle

Download or read book Geometric Modelling, Numerical Simulation, and Optimization: written by Geir Hasle and published by Springer Science & Business Media. This book was released on 2007-06-10 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Finite Element Method to Model Electromagnetic Systems in Low Frequency

Author : Francis Piriou
Publisher : John Wiley & Sons
ISBN 13 : 1394276478
Total Pages : 243 pages
Book Rating : 4.3/5 (942 download)

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Book Synopsis Finite Element Method to Model Electromagnetic Systems in Low Frequency by : Francis Piriou

Download or read book Finite Element Method to Model Electromagnetic Systems in Low Frequency written by Francis Piriou and published by John Wiley & Sons. This book was released on 2024-02-23 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Finite Element Method

Author : Patrick Ciarlet
Publisher : John Wiley & Sons
ISBN 13 : 1394229747
Total Pages : 404 pages
Book Rating : 4.3/5 (942 download)

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Book Synopsis The Finite Element Method by : Patrick Ciarlet

Download or read book The Finite Element Method written by Patrick Ciarlet and published by John Wiley & Sons. This book was released on 2023-07-26 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Robin Bouclier
Publisher : John Wiley & Sons
ISBN 13 : 1394229623
Total Pages : 244 pages
Book Rating : 4.3/5 (942 download)

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Book Synopsis IGA: Non-Invasive Coupling with FEM and Regularization of Digital Image Correlation Problems, Volume 2 by : Robin Bouclier

Download or read book IGA: Non-Invasive Coupling with FEM and Regularization of Digital Image Correlation Problems, Volume 2 written by Robin Bouclier and published by John Wiley & Sons. This book was released on 2023-07-26 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mesh Adaptation for Computational Fluid Dynamics, Volume 2

Author : Alain Dervieux
Publisher : John Wiley & Sons
ISBN 13 : 1786308320
Total Pages : 244 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Mesh Adaptation for Computational Fluid Dynamics, Volume 2 by : Alain Dervieux

Download or read book Mesh Adaptation for Computational Fluid Dynamics, Volume 2 written by Alain Dervieux and published by John Wiley & Sons. This book was released on 2022-09-21 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Modeling of Fractal Forms for CAD

Author : Christian Gentil
Publisher : John Wiley & Sons
ISBN 13 : 1786300400
Total Pages : 258 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Geometric Modeling of Fractal Forms for CAD by : Christian Gentil

Download or read book Geometric Modeling of Fractal Forms for CAD written by Christian Gentil and published by John Wiley & Sons. This book was released on 2021-05-11 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designing and controlling complex shapes like porous volumes and rough surfaces is a challenge. Fractal geometry is an interesting approach which considerably simplify the problem. Even though underlying concepts reduce the set possible shapes, they generate a surprising variety of shapes. In this book we present a formalism to design such complex objects for geometric aided geometry design applications. The goal of this formalism is to provide to the end user the possibility to manipulate fractal objects as a standard euclidean object with standard tools of CAD system. This formalism encompass curves, surfaces, volumes, as well as NURBS and subdivision surfaces. All theoretical and practical aspects are developed, from the design up to 3D printing.

Topology Optimization Design of Heterogeneous Materials and Structures

Author : Daicong Da
Publisher : John Wiley & Sons
ISBN 13 : 1119687535
Total Pages : 154 pages
Book Rating : 4.1/5 (196 download)

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Book Synopsis Topology Optimization Design of Heterogeneous Materials and Structures by : Daicong Da

Download or read book Topology Optimization Design of Heterogeneous Materials and Structures written by Daicong Da and published by John Wiley & Sons. This book was released on 2019-12-19 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book pursues optimal design from the perspective of mechanical properties and resistance to failure caused by cracks and fatigue. The book abandons the scale separation hypothesis and takes up phase-field modeling, which is at the cutting edge of research and is of high industrial and practical relevance. Part 1 starts by testing the limits of the homogenization-based approach when the size of the representative volume element is non-negligible compared to the structure. The book then introduces a non-local homogenization scheme to take into account the strain gradient effects. Using a phase field method, Part 2 offers three significant contributions concerning optimal placement of the inclusion phases. Respectively, these contributions take into account fractures in quasi-brittle materials, interface cracks and periodic composites. The topology optimization proposed has significantly increased the fracture resistance of the composites studied.

Geometric Modelling, Numerical Simulation, and Optimization:

Author : Geir Hasle
Publisher : Springer
ISBN 13 : 9783540834182
Total Pages : 558 pages
Book Rating : 4.8/5 (341 download)

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Book Synopsis Geometric Modelling, Numerical Simulation, and Optimization: by : Geir Hasle

Download or read book Geometric Modelling, Numerical Simulation, and Optimization: written by Geir Hasle and published by Springer. This book was released on 2009-09-02 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Isogeometric Methods for Numerical Simulation

Author : Gernot Beer
Publisher : Springer
ISBN 13 : 3709118433
Total Pages : 232 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Isogeometric Methods for Numerical Simulation by : Gernot Beer

Download or read book Isogeometric Methods for Numerical Simulation written by Gernot Beer and published by Springer. This book was released on 2015-01-29 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the state of the art in isogeometric modeling and shows how the method has advantaged. First an introduction to geometric modeling with NURBS and T-splines is given followed by the implementation into computer software. The implementation in both the FEM and BEM is discussed.

Geometric Modeling

Author : Michael E. Mortenson
Publisher :
ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Geometric Modeling by : Michael E. Mortenson

Download or read book Geometric Modeling written by Michael E. Mortenson and published by . This book was released on 1997 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, up-to-date presentation of the indispensable core concepts of geometric modeling Now completely updated to include the most recent developments in the field, Geometric Modeling, Second Edition presents a comprehensive discussion of the core concepts of this subject. It describes and compares all the important mathematical methods for modeling curves, surfaces, and solids, and shows how to transform and assemble these elements into complex models. Written in a style free of the jargon of special applications, this unique book focuses on the essence of geometric modeling and treats it as a discipline in its own right. It integrates the three important functions of geometric modeling: to represent elementary forms (i.e., curves, surfaces, and solids), to shape and assemble these into more complex forms, and to determine concomitant derivative geometric elements (i.e., intersections, offsets, and fillets). With more than 300 illustrations, Geometric Modeling, Second Edition appeals to the reader's visual and intuitive skills in a way that makes it easier to understand its more abstract concepts. An extensive bibliography lists many supporting works, directing the reader to more specialized treatments of this subject. Geometric Modeling, Second Edition serves as an invaluable guide to computer graphics and CAD/CAM specialists, applications designers, scientific programmers, teachers, and students.