Finite Volumes For Complex Applications Iv

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Finite Volumes for Complex Applications IV

Author : Fayssal Benkhaldoun
Publisher : Wiley-ISTE
ISBN 13 :
Total Pages : 866 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Finite Volumes for Complex Applications IV by : Fayssal Benkhaldoun

Download or read book Finite Volumes for Complex Applications IV written by Fayssal Benkhaldoun and published by Wiley-ISTE. This book was released on 2005-09-02 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains contributions from speakers at the 4th International Symposium on Finite Volumes for Complex Applications, held in Marrakech, Morocco, in July 2005. The subject of these papers ranges from theoretical and numerical results to physical applications. Topics covered include: Theoretical and numerical results • theoretical foundation • convergence • new finite volume schemes • adaptivity • higher order discretization and parallelization Physical applications • multiphase flow and flows through porous media • turbulent flows • shallow water problems • stiff source terms • cryogenic applications • medical and biological applications • image processing Papers on Industrial codes, as well as interdisciplinary approaches are also included in these proceedings.

Finite Volumes for Complex Applications VI Problems & Perspectives

Author : Jaroslav Fořt
Publisher : Springer Science & Business Media
ISBN 13 : 3642206719
Total Pages : 1003 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Finite Volumes for Complex Applications VI Problems & Perspectives by : Jaroslav Fořt

Download or read book Finite Volumes for Complex Applications VI Problems & Perspectives written by Jaroslav Fořt and published by Springer Science & Business Media. This book was released on 2011-07-21 with total page 1003 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite volume methods are used for various applications in fluid dynamics, magnetohydrodynamics, structural analysis or nuclear physics. A closer look reveals many interesting phenomena and mathematical or numerical difficulties, such as true error analysis and adaptivity, modelling of multi-phase phenomena or fitting problems, stiff terms in convection/diffusion equations and sources. To overcome existing problems and to find solution methods for future applications requires many efforts and always new developments. The goal of The International Symposium on Finite Volumes for Complex Applications VI is to bring together mathematicians, physicists and engineers dealing with Finite Volume Techniques in a wide context. This book, divided in two volumes, brings a critical look at the subject (new ideas, limits or drawbacks of methods, theoretical as well as applied topics).

Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems

Author : Emmanuel Franck
Publisher : Springer Nature
ISBN 13 : 3031408608
Total Pages : 296 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems by : Emmanuel Franck

Download or read book Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems written by Emmanuel Franck and published by Springer Nature. This book was released on 2023-10-12 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises the second part of the proceedings of the 10th International Conference on Finite Volumes for Complex Applications, FVCA, held in Strasbourg, France, during October 30 to November 3, 2023. The Finite Volume method, and several of its variants, is a spatial discretization technique for partial differential equations based on the fundamental physical principle of conservation. Recent decades have brought significant success in the theoretical understanding of the method. Many finite volume methods are also built to preserve some properties of the continuous equations, including maximum principles, dissipativity, monotone decay of the free energy, asymptotic stability, or stationary solutions. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. In recent years, the efficient implementation of these methods in numerical software packages, more specifically to be used in supercomputers, has drawn some attention. The first volume contains all invited papers, as well as the contributed papers focusing on finite volume schemes for elliptic and parabolic problems. They include structure-preserving schemes, convergence proofs, and error estimates for problems governed by elliptic and parabolic partial differential equations. This volume is focused on finite volume methods for hyperbolic and related problems, such as methods compatible with the low Mach number limit or able to exactly preserve steady solutions, the development and analysis of high order methods, or the discretization of kinetic equations.

Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects

Author : Clément Cancès
Publisher : Springer
ISBN 13 : 3319573977
Total Pages : 457 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects by : Clément Cancès

Download or read book Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects written by Clément Cancès and published by Springer. This book was released on 2017-05-23 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first volume of the proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017) covers various topics including convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. It collects together the focused invited papers comparing advanced numerical methods for Stokes and Navier–Stokes equations on a benchmark, as well as reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods, offering a comprehensive overview of the state of the art in the field. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation, and recent decades have brought significant advances in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asy mptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. The book is a valuable resource for researchers, PhD and master’s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as engineers working in numerical modeling and simulations.

Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples

Author : Robert Klöfkorn
Publisher : Springer Nature
ISBN 13 : 3030436519
Total Pages : 727 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples by : Robert Klöfkorn

Download or read book Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples written by Robert Klöfkorn and published by Springer Nature. This book was released on 2020-06-09 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of the 9th conference on "Finite Volumes for Complex Applications" (Bergen, June 2020) are structured in two volumes. The first volume collects the focused invited papers, as well as the reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods. Topics covered include convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. Altogether, a rather comprehensive overview is given on the state of the art in the field. The properties of the methods considered in the conference give them distinguished advantages for a number of applications. These include fluid dynamics, magnetohydrodynamics, structural analysis, nuclear physics, semiconductor theory, carbon capture utilization and storage, geothermal energy and further topics. The second volume covers reviewed contributions reporting successful applications of finite volume and related methods in these fields. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability, making the finite volume methods compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. The book is a valuable resource for researchers, PhD and master’s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as engineers working in numerical modeling and simulations.

Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects

Author : Jürgen Fuhrmann
Publisher : Springer
ISBN 13 : 3319056840
Total Pages : 450 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects by : Jürgen Fuhrmann

Download or read book Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects written by Jürgen Fuhrmann and published by Springer. This book was released on 2014-05-12 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first volume of the proceedings of the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) covers topics that include convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. It collects together the focused invited papers, as well as the reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods. Altogether, a rather comprehensive overview is given of the state of the art in the field. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation. Recent decades have brought significant success in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. Researchers, PhD and masters level students in numerical analysis, scientific computing and related fields such as partial differential equations will find this volume useful, as will engineers working in numerical modeling and simulations.

Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems

Author : Jürgen Fuhrmann
Publisher : Springer
ISBN 13 : 3319055917
Total Pages : 499 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems by : Jürgen Fuhrmann

Download or read book Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems written by Jürgen Fuhrmann and published by Springer. This book was released on 2014-05-16 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: The methods considered in the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) have properties which offer distinct advantages for a number of applications. The second volume of the proceedings covers reviewed contributions reporting successful applications in the fields of fluid dynamics, magnetohydrodynamics, structural analysis, nuclear physics, semiconductor theory and other topics. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation. Recent decades have brought significant success in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. Researchers, PhD and masters level students in numerical analysis, scientific computing and related fields such as partial differential equations will find this volume useful, as will engineers working in numerical modeling and simulations.

IGA

Author : Robin Bouclier
Publisher : John Wiley & Sons
ISBN 13 : 1119988543
Total Pages : 260 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis IGA by : Robin Bouclier

Download or read book IGA written by Robin Bouclier and published by John Wiley & Sons. This book was released on 2022-06-06 with total page 260 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, about fifteen years after its creation, substantial works are being reported in IGA, which make it very competitive in scientific computing. This book provides a contemporary vision of IGA by first discussing the current challenges in achieving a true bridge between design and analysis, then proposing original solutions that answer the issues from an analytical point of view, and, eventually, studying the shape optimization of structures, which is one of the greatest applications of IGA. To handle complex structures, a full analysis-to-optimization framework is developed, based on non-invasive coupling, parallel domain decomposition and immersed geometrical modeling. This seems to be very robust, taking on all of the attractive features of IGA (the design–analysis link, numerical efficiency and natural regularization), giving us the opportunity to explore new types of design.

Meshing, Geometric Modeling and Numerical Simulation 1

Author : Houman Borouchaki
Publisher : John Wiley & Sons
ISBN 13 : 1119384036
Total Pages : 429 pages
Book Rating : 4.1/5 (193 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 2017-10-30 with total page 429 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.

Computational Fluid Dynamics 2006

Author : Herman Deconinck
Publisher : Springer Science & Business Media
ISBN 13 : 3540927794
Total Pages : 901 pages
Book Rating : 4.5/5 (49 download)

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Book Synopsis Computational Fluid Dynamics 2006 by : Herman Deconinck

Download or read book Computational Fluid Dynamics 2006 written by Herman Deconinck and published by Springer Science & Business Media. This book was released on 2009-08-04 with total page 901 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Conference on Computational Fluid Dynamics (ICCFD) is the merger of the International Conference on Numerical Methods in Fluid Dynamics, ICNMFD (since 1969) and International Symposium on Computational Fluid Dynamics, ISCFD (since 1985). It is held every two years and brings together physicists, mathematicians and engineers to review and share recent advances in mathematical and computational techniques for modeling fluid dynamics. The proceedings of the 2006 conference (ICCFD4) held in Gent, Belgium, contain a selection of refereed contributions and are meant to serve as a source of reference for all those interested in the state of the art in computational fluid mechanics.

A Posteriori Error Estimation Techniques for Finite Element Methods

Author : Rüdiger Verfürth
Publisher : OUP Oxford
ISBN 13 : 019166877X
Total Pages : 573 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis A Posteriori Error Estimation Techniques for Finite Element Methods by : Rüdiger Verfürth

Download or read book A Posteriori Error Estimation Techniques for Finite Element Methods written by Rüdiger Verfürth and published by OUP Oxford. This book was released on 2013-04-18 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-adaptive discretization methods are now an indispensable tool for the numerical solution of partial differential equations that arise from physical and technical applications. The aim is to obtain a numerical solution within a prescribed tolerance using a minimal amount of work. The main tools in achieving this goal are a posteriori error estimates which give global and local information on the error of the numerical solution and which can easily be computed from the given numerical solution and the data of the differential equation. This book reviews the most frequently used a posteriori error estimation techniques and applies them to a broad class of linear and nonlinear elliptic and parabolic equations. Although there are various approaches to adaptivity and a posteriori error estimation, they are all based on a few common principles. The main aim of the book is to elaborate these basic principles and to give guidelines for developing adaptive schemes for new problems. Chapters 1 and 2 are quite elementary and present various error indicators and their use for mesh adaptation in the framework of a simple model problem. The basic principles are introduced using a minimal amount of notations and techniques providing a complete overview for the non-specialist. Chapters 4-6 on the other hand are more advanced and present a posteriori error estimates within a general framework using the technical tools collected in Chapter 3. Most sections close with a bibliographical remark which indicates the historical development and hints at further results.

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.

Deterministic Numerical Modeling of Soil Structure Interaction

Author : Stephane Grange
Publisher : John Wiley & Sons
ISBN 13 : 1786307987
Total Pages : 242 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Deterministic Numerical Modeling of Soil Structure Interaction by : Stephane Grange

Download or read book Deterministic Numerical Modeling of Soil Structure Interaction written by Stephane Grange and published by John Wiley & Sons. This book was released on 2022-01-26 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: In order to describe soil–structure interaction in various situations (nonlinear, static, dynamic, hydro-mechanical couplings), this book gives an overview of the main modeling methods developed in geotechnical engineering. The chapters are centered around: the finite element method (FEM), the finite difference method (FDM), and the discrete element method (DEM). Deterministic Numerical Modeling of Soil–Structure Interaction allows the reader to explore the classical and well-known FEM and FDM, using interface and contact elements available for coupled hydro-mechanical problems. Furthermore, this book provides insight on the DEM, adapted for interaction laws at the grain level. Within a classical finite element framework, the concept of macro-element is introduced, which generalizes constitutive laws of SSI and is particularly straightforward in dynamic situations. Finally, this book presents the SSI, in the case of a group of structures, such as buildings in a town, using the notion of metamaterials and a geophysics approach.

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.

Finite Volumes for Complex Applications X—Volume 1, Elliptic and Parabolic Problems

Author : Emmanuel Franck
Publisher : Springer Nature
ISBN 13 : 3031408640
Total Pages : 381 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Finite Volumes for Complex Applications X—Volume 1, Elliptic and Parabolic Problems by : Emmanuel Franck

Download or read book Finite Volumes for Complex Applications X—Volume 1, Elliptic and Parabolic Problems written by Emmanuel Franck and published by Springer Nature. This book was released on 2023-11-01 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises the first part of the proceedings of the 10th International Conference on Finite Volumes for Complex Applications, FVCA, held in Strasbourg, France, during October 30 to November 3, 2023. The Finite Volume method, and several of its variants, is a spatial discretization technique for partial differential equations based on the fundamental physical principle of conservation. Recent decades have brought significant success in the theoretical understanding of the method. Many finite volume methods are also built to preserve some properties of the continuous equations, including maximum principles, dissipativity, monotone decay of the free energy, asymptotic stability, or stationary solutions. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. In recent years, the efficient implementation of these methods in numerical software packages, more specifically to be used in supercomputers, has drawn some attention. This volume contains all invited papers, as well as the contributed papers focusing on finite volume schemes for elliptic and parabolic problems. They include structure-preserving schemes, convergence proofs, and error estimates for problems governed by elliptic and parabolic partial differential equations. The second volume is focused on finite volume methods for hyperbolic and related problems, such as methods compatible with the low Mach number limit or able to exactly preserve steady solutions, the development and analysis of high order methods, or the discretization of kinetic equations.

Numerical Simulation, An Art of Prediction 1

Author : Jean-François Sigrist
Publisher : John Wiley & Sons
ISBN 13 : 1786304317
Total Pages : 276 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Numerical Simulation, An Art of Prediction 1 by : Jean-François Sigrist

Download or read book Numerical Simulation, An Art of Prediction 1 written by Jean-François Sigrist and published by John Wiley & Sons. This book was released on 2020-04-14 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical simulation is a technique of major importance in various technical and scientific fields. Used to understand diverse physical phenomena or to design everyday objects, it plays a major role in innovation in the industrial sector. 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 first of two volumes and focuses on the principles, methods and industrial practice of numerical modeling.

Geometric and Topological Mesh Feature Extraction for 3D Shape Analysis

Author : Jean-Luc Mari
Publisher : John Wiley & Sons
ISBN 13 : 1786300419
Total Pages : 194 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Geometric and Topological Mesh Feature Extraction for 3D Shape Analysis by : Jean-Luc Mari

Download or read book Geometric and Topological Mesh Feature Extraction for 3D Shape Analysis written by Jean-Luc Mari and published by John Wiley & Sons. This book was released on 2020-01-02 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three-dimensional surface meshes are the most common discrete representation of the exterior of a virtual shape. Extracting relevant geometric or topological features from them can simplify the way objects are looked at, help with their recognition, and facilitate description and categorization according to specific criteria. This book adopts the point of view of discrete mathematics, the aim of which is to propose discrete counterparts to concepts mathematically defined in continuous terms. It explains how standard geometric and topological notions of surfaces can be calculated and computed on a 3D surface mesh, as well as their use for shape analysis. Several applications are also detailed, demonstrating that each of them requires specific adjustments to fit with generic approaches. The book is intended not only for students, researchers and engineers in computer science and shape analysis, but also numerical geologists, anthropologists, biologists and other scientists looking for practical solutions to their shape analysis, understanding or recognition problems.