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Geometric Modeling Of Fractal Forms For Cad
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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 2021-06-02 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.
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.
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.
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 2019-01-25 with total page 409 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.
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.
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 2024-04-02 with total page 324 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.
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 2021-12-22 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.
Download or read book IGA written by Robin Bouclier and published by John Wiley & Sons. This book was released on 2022-08-16 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.
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.
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 2022-09-21 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.
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.
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.
Book Synopsis Fractal Modelling by : Jaap A. Kaandorp
Download or read book Fractal Modelling written by Jaap A. Kaandorp and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, methods from fractal geometry are applied to model growth forms, taking as a case study a type of growth process which can be found among various taxonomic classes such as sponges and corals. These models can be used, for example, to understand the amazing variety of forms to be found in a coral reef and to simulate their growth with 2D and 3D geometrical objects. Models which mimic the growth of forms and the environmental influence on the growth process are also useful for ecologists, as a combination of simulation models together with the actual growth forms can be used to detect the effects of slow changes in the environment.
Book Synopsis Visualizing with CAD by : Daniela Bertol
Download or read book Visualizing with CAD written by Daniela Bertol and published by Springer. This book was released on 2013-11-11 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: I spent the first twenty six years of my life in Rome. I used to go for ice cream to a popular place near the Pantheon and I remem ber the excitement I felt, beyond the chocolate and whipped cream, when I entered this ancient Roman temple. After staring at the "shower" of light coming from the circular opening at the center of the dome, as strong as a spotlight, I remember being attracted almost hypnotically to the place below the opening. I remember counting the coffers carving the concave dome, com posed in five rows of circular arrays, and could feel the power and protection created by the concave space. I also recall going every Sunday to Piazza San Pietro. This Baroque square is well known for its colonnades, which have an oval shape defined by two interlocking circles. For each of these circles there is a mark, located approximately at its center, from which the four aligned rows of columns appear as one. Before entering the church, almost as a part of a ritual, I had to find the mark in the pavement of the oval square. I was amazed by how the rows of columns could appear and disappear according to my position in relation to the mark:.
Book Synopsis Fractals Everywhere by : Michael F. Barnsley
Download or read book Fractals Everywhere written by Michael F. Barnsley and published by Morgan Kaufmann. This book was released on 1993 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the second edition of the highly successful Fractals Everywhere. The Focus of this text is how fractal geometry can be used to model real objects in the physical world. This edition of Fractals Everywhere is the most up-to-date fractal textbook available today. Fractals Everywhere may be supplemented by Michael F. Barnsley's Desktop Fractal Design System (version 2.0) with IBM for Macintosh software. The Desktop Fractal Design System 2.0 is a tool for designing Iterated Function Systems codes and fractal images, and makes an excellent supplement to a course on fractal geometry * A new chapter on recurrent iterated function systems, including vector recurrent iterated function systems. * Problems and tools emphasizing fractal applciations. * An all-new answer key to problems in the text, with solutions and hints.
Book Synopsis Fractal Geometry and Computer Graphics by : Jose L. Encarnacao
Download or read book Fractal Geometry and Computer Graphics written by Jose L. Encarnacao and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal geometry has become popular in the last 15 years, its applications can be found in technology, science, or even arts. Fractal methods and formalism are seen today as a general, abstract, but nevertheless practical instrument for the description of nature in a wide sense. But it was Computer Graphics which made possible the increasing popularity of fractals several years ago, and long after their mathematical formulation. The two disciplines are tightly linked. The book contains the scientificcontributions presented in an international workshop in the "Computer Graphics Center" in Darmstadt, Germany. The target of the workshop was to present the wide spectrum of interrelationships and interactions between Fractal Geometry and Computer Graphics. The topics vary from fundamentals and new theoretical results to various applications and systems development. All contributions are original, unpublished papers.The presentations have been discussed in two working groups; the discussion results, together with actual trends and topics of future research, are reported in the last section. The topics of the book are divides into four sections: Fundamentals, Computer Graphics and Optical Simulation, Simulation of Natural Phenomena, Image Processing and Image Analysis.
Book Synopsis Proceedings of the 14th International Meshing Roundtable by : Byron W. Hanks
Download or read book Proceedings of the 14th International Meshing Roundtable written by Byron W. Hanks and published by Springer Science & Business Media. This book was released on 2006-01-26 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents results of the International Meshing Roundtable conference organized by Sandia National Laboratories held in September 2005. The conference is held annually and since its inception eleven years ago has become widely recognized as a major forum for the exchange of ideas in this field. The papers of this proceedings are devoted to mesh generation and adaptation which has applications to finite element simulation as well as to computational geometry and computer graphics. This book introduces theoretical and novel ideas with practical potential as well as technical applications from industrial researchers, bringing together renowned specialists from engineering, computer science and mathematics.
