Transfinite Interpolations And Eulerian Lagrangian Dynamics

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Transfinite Interpolation and Eulerian/Lagrangian Dynamics

Author : André Garon
Publisher : SIAM
ISBN 13 : 1611976952
Total Pages : 288 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Transfinite Interpolation and Eulerian/Lagrangian Dynamics by : André Garon

Download or read book Transfinite Interpolation and Eulerian/Lagrangian Dynamics written by André Garon and published by SIAM. This book was released on 2022-03-25 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces transfinite interpolation as a generalization of interpolation of data prescribed at a finite number of points to data prescribed on a geometrically structured set, such as a piece of curve, surface, or submanifold. The time-independent theory is readily extended to a moving/deforming data set whose dynamics is specified in a Eulerian or Lagrangian framework. The resulting innovative tools cover a very broad spectrum of applications in fluid mechanics, geometric optimization, and imaging. The authors chose to focus on the dynamical mesh updating in fluid mechanics and the construction of velocity fields from the boundary expression of the shape derivative. Transfinite Interpolations and Eulerian/Lagrangian Dynamics is a self-contained graduate-level text that integrates theory, applications, numerical approximations, and computational techniques. It applies transfinite interpolation methods to finite element mesh adaptation and ALE fluid-structure interaction. Specialists in applied mathematics, physics, mechanics, computational sciences, imaging sciences, and engineering will find this book of interest.

Business Dynamics Models

Author : Eugenius Kaszkurewicz
Publisher : SIAM
ISBN 13 : 1611977312
Total Pages : 208 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Business Dynamics Models by : Eugenius Kaszkurewicz

Download or read book Business Dynamics Models written by Eugenius Kaszkurewicz and published by SIAM. This book was released on 2022-11-24 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces optimal control methods, formulated as optimization problems, applied to business dynamics problems. Business dynamics refers to a combination of business management and financial objectives embedded in a dynamical system model. The model is subject to a control that optimizes a performance index and takes both management and financial aspects into account. Business Dynamics Models: Optimization-Based One Step Ahead Optimal Control includes solutions that provide a rationale for the use of optimal control and guidelines for further investigation into more complex models, as well as formulations that can also be used in a so-called flight simulator mode to investigate different complex scenarios. The text offers a modern programming environment (Jupyter notebooks in JuMP/Julia) for modeling, simulation, and optimization, and Julia code and notebooks are provided on a website for readers to experiment with their own examples. This book is intended for students majoring in applied mathematics, business, and engineering. The authors use a formulation-algorithm-example approach, rather than the classical definition-theorem-proof, making the material understandable to senior undergraduates and beginning graduates.

Extremum Seeking Through Delays and PDEs

Author : Tiago Roux Oliveira
Publisher : SIAM
ISBN 13 : 1611977355
Total Pages : 461 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Extremum Seeking Through Delays and PDEs by : Tiago Roux Oliveira

Download or read book Extremum Seeking Through Delays and PDEs written by Tiago Roux Oliveira and published by SIAM. This book was released on 2022-12-05 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extremum Seeking through Delays and PDEs, the first book on the topic, expands the scope of applicability of the extremum seeking method, from static and finite-dimensional systems to infinite-dimensional systems. Readers will find numerous algorithms for model-free real-time optimization are developed and their convergence guaranteed, extensions from single-player optimization to noncooperative games, under delays and PDEs, are provided, the delays and PDEs are compensated in the control designs using the PDE backstepping approach, and stability is ensured using infinite-dimensional versions of averaging theory, and accessible and powerful tools for analysis. This book is intended for control engineers in all disciplines (electrical, mechanical, aerospace, chemical), mathematicians, physicists, biologists, and economists. It is appropriate for graduate students, researchers, and industrial users.

A Variational Approach to Optimal Control of ODEs

Author : Pablo Pedregal
Publisher : SIAM
ISBN 13 : 1611977118
Total Pages : 202 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis A Variational Approach to Optimal Control of ODEs by : Pablo Pedregal

Download or read book A Variational Approach to Optimal Control of ODEs written by Pablo Pedregal and published by SIAM. This book was released on 2022-07-26 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book presents in a unified, systematic way the basic principles of optimal control governed by ODEs. Using a variational perspective, the author incorporates important restrictions like constraints for control and state, as well as the state system itself, into the equivalent variational reformulation of the problem. The fundamental issues of existence of optimal solutions, optimality conditions, and numerical approximation are then examined from this variational viewpoint. Inside, readers will find a unified approach to all the basic issues of optimal control, academic and real-world examples testing the book’s variational approach, and a rigorous treatment stressing ideas and arguments rather than the underlying mathematical formalism. A Variational Approach to Optimal Control of ODEs is mainly for applied analysts, applied mathematicians, and control engineers, but will also be helpful to other scientists and engineers who want to understand the basic principles of optimal control governed by ODEs. It requires no prerequisites in variational problems or expertise in numerical approximation. It can be used for a first course in optimal control.

Numerical Methods for Eulerian and Lagrangian Conservation Laws

Author : Bruno Després
Publisher :
ISBN 13 : 9783319503561
Total Pages : 349 pages
Book Rating : 4.5/5 (35 download)

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Book Synopsis Numerical Methods for Eulerian and Lagrangian Conservation Laws by : Bruno Després

Download or read book Numerical Methods for Eulerian and Lagrangian Conservation Laws written by Bruno Després and published by . This book was released on 2017 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lagrangian Dynamics

Author : Clive William Kilmister
Publisher :
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Lagrangian Dynamics by : Clive William Kilmister

Download or read book Lagrangian Dynamics written by Clive William Kilmister and published by . This book was released on 1967 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mechanics Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 338 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1987 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Engineering - Introduction to Numerical Methods

Author : Michael Schäfer
Publisher : Springer Nature
ISBN 13 : 3030760278
Total Pages : 374 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Computational Engineering - Introduction to Numerical Methods by : Michael Schäfer

Download or read book Computational Engineering - Introduction to Numerical Methods written by Michael Schäfer and published by Springer Nature. This book was released on 2021-07-19 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical simulation methods in all engineering disciplines gains more and more importance. The successful and efficient application of such tools requires certain basic knowledge about the underlying numerical techniques. The text gives a practice-oriented introduction in modern numerical methods as they typically are applied in mechanical, chemical, or civil engineering. Problems from heat transfer, structural mechanics, and fluid mechanics constitute a thematical focus of the text. For the basic understanding of the topic aspects of numerical mathematics, natural sciences, computer science, and the corresponding engineering area are simultaneously important. Usually, the necessary information is distributed in different textbooks from the individual disciplines. In the present text the subject matter is presented in a comprehensive multidisciplinary way, where aspects from the different fields are treated insofar as it is necessary for general understanding. Overarching aspects and important questions related to accuracy, efficiency, and cost effectiveness are discussed. The topics are presented in an introductory manner, such that besides basic mathematical standard knowledge in analysis and linear algebra no further prerequisites are necessary. The book is suitable either for self-study or as an accompanying textbook for corresponding lectures. It can be useful for students of engineering disciplines as well as for computational engineers in industrial practice.

Encyclopedia of Computational Mechanics

Author : Erwin Stein
Publisher :
ISBN 13 :
Total Pages : 870 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Encyclopedia of Computational Mechanics by : Erwin Stein

Download or read book Encyclopedia of Computational Mechanics written by Erwin Stein and published by . This book was released on 2004 with total page 870 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopedia of Computational Mechanics provides a comprehensive collection of knowledge about the theory and practice of computational mechanics.

Finite Volume Method

Author : Radostina Petrova
Publisher : BoD – Books on Demand
ISBN 13 : 9535104454
Total Pages : 388 pages
Book Rating : 4.5/5 (351 download)

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Book Synopsis Finite Volume Method by : Radostina Petrova

Download or read book Finite Volume Method written by Radostina Petrova and published by BoD – Books on Demand. This book was released on 2012-03-28 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: We hope that among these chapters you will find a topic which will raise your interest and engage you to further investigate a problem and build on the presented work. This book could serve either as a textbook or as a practical guide. It includes a wide variety of concepts in FVM, result of the efforts of scientists from all over the world. However, just to help you, all book chapters are systemized in three general groups: New techniques and algorithms in FVM; Solution of particular problems through FVM and Application of FVM in medicine and engineering. This book is for everyone who wants to grow, to improve and to investigate.

Computational Contact Mechanics

Author : Peter Wriggers
Publisher : Springer Science & Business Media
ISBN 13 : 3211772987
Total Pages : 252 pages
Book Rating : 4.2/5 (117 download)

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Book Synopsis Computational Contact Mechanics by : Peter Wriggers

Download or read book Computational Contact Mechanics written by Peter Wriggers and published by Springer Science & Business Media. This book was released on 2008-04-01 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics of this book span the range from spatial and temporal discretization techniques for contact and impact problems with small and finite deformations over investigations on the reliability of micromechanical contact models over emerging techniques for rolling contact mechanics to homogenization methods and multi-scale approaches in contact problems.

Introduction to Finite Element Analysis Using MATLAB® and Abaqus

Author : Amar Khennane
Publisher : CRC Press
ISBN 13 : 1466580208
Total Pages : 490 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Introduction to Finite Element Analysis Using MATLAB® and Abaqus by : Amar Khennane

Download or read book Introduction to Finite Element Analysis Using MATLAB® and Abaqus written by Amar Khennane and published by CRC Press. This book was released on 2013-06-10 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are some books that target the theory of the finite element, while others focus on the programming side of things. Introduction to Finite Element Analysis Using MATLAB® and Abaqus accomplishes both. This book teaches the first principles of the finite element method. It presents the theory of the finite element method while maintaining a balance between its mathematical formulation, programming implementation, and application using commercial software. The computer implementation is carried out using MATLAB, while the practical applications are carried out in both MATLAB and Abaqus. MATLAB is a high-level language specially designed for dealing with matrices, making it particularly suited for programming the finite element method, while Abaqus is a suite of commercial finite element software. Includes more than 100 tables, photographs, and figures Provides MATLAB codes to generate contour plots for sample results Introduction to Finite Element Analysis Using MATLAB and Abaqus introduces and explains theory in each chapter, and provides corresponding examples. It offers introductory notes and provides matrix structural analysis for trusses, beams, and frames. The book examines the theories of stress and strain and the relationships between them. The author then covers weighted residual methods and finite element approximation and numerical integration. He presents the finite element formulation for plane stress/strain problems, introduces axisymmetric problems, and highlights the theory of plates. The text supplies step-by-step procedures for solving problems with Abaqus interactive and keyword editions. The described procedures are implemented as MATLAB codes and Abaqus files can be found on the CRC Press website.

Grid Generation Methods

Author : Vladimir D. Liseikin
Publisher : Springer Science & Business Media
ISBN 13 : 9048129125
Total Pages : 390 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Grid Generation Methods by : Vladimir D. Liseikin

Download or read book Grid Generation Methods written by Vladimir D. Liseikin and published by Springer Science & Business Media. This book was released on 2009-10-27 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is an introduction to methods of grid generation technology in scientific computing. Special attention is given to methods developed by the author for the treatment of singularly-perturbed equations, e.g. in modeling high Reynolds number flows. Functionals of conformality, orthogonality, energy and alignment are discussed.

Nonlinear Continuum Mechanics for Finite Element Analysis

Author : Javier Bonet
Publisher : Cambridge University Press
ISBN 13 : 9780521572729
Total Pages : 272 pages
Book Rating : 4.5/5 (727 download)

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Book Synopsis Nonlinear Continuum Mechanics for Finite Element Analysis by : Javier Bonet

Download or read book Nonlinear Continuum Mechanics for Finite Element Analysis written by Javier Bonet and published by Cambridge University Press. This book was released on 1997-09-28 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified treatment of nonlinear continuum analysis and finite element techniques.

Flexible Multibody Dynamics

Author : O. A. Bauchau
Publisher : Springer Science & Business Media
ISBN 13 : 940070335X
Total Pages : 730 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Flexible Multibody Dynamics by : O. A. Bauchau

Download or read book Flexible Multibody Dynamics written by O. A. Bauchau and published by Springer Science & Business Media. This book was released on 2010-10-23 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author developed this text over many years, teaching graduate courses in advanced dynamics and flexible multibody dynamics at the Daniel Guggenheim School of Aerospace Engineering of the Georgia Institute of Technology. The book presents a unified treatment of rigid body dynamics, analytical dynamics, constrained dynamics, and flexible multibody dynamics. A comprehensive review of numerical tools used to enforce both holonomic and nonholonomic constraints is presented. Advanced topics such as Maggi’s, index-1, null space, and Udwadia and Kalaba’s formulations are presented because of their fundamental importance in multibody dynamics. Methodologies for the parameterization of rotation and motion are discussed and contrasted. Geometrically exact beams and shells formulations, which have become the standard in flexible multibody dynamics, are presented and numerical aspects of their finite element implementation detailed. Methodologies for the direct solution of the index-3 differential-algebraic equations characteristic of constrained multibody systems are presented. It is shown that with the help of proper scaling procedures, such equations are not more difficult to integrate than ordinary differential equations. This book is illustrated with numerous examples and should prove valuable to both students and researchers in the fields of rigid and flexible multibody dynamics.

Coupling of Fluids, Structures and Waves in Aeronautics

Author : Noel G. Barton
Publisher : Springer Science & Business Media
ISBN 13 : 354044873X
Total Pages : 325 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Coupling of Fluids, Structures and Waves in Aeronautics by : Noel G. Barton

Download or read book Coupling of Fluids, Structures and Waves in Aeronautics written by Noel G. Barton and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a workshop held in Melbourne, Australia, entitled "Coupling of Fluids, Structures and Waves in Aeronautics". The 22 papers deal with new computational methods for multi-disciplinary design in aeronautics. They are grouped into chapters on fluids, structures, electromagnetics, optimisation, mathematical methods and tools, and aircraft design. Several papers treat coupling of these themes in a multi-physics setting. Included is a 17-page report of a Round Table discussion entitled "Future Tools for Design and Manufacture of Innovative Products in the Aeronautics Industry", together with a summary of important themes and issues. This research promotes the advanced technologies necessary for continued development of efficient and environmentally sustainable transport systems.

Hydrodynamics of Free Surface Flows

Author : Jean-Michel Hervouet
Publisher : John Wiley & Sons
ISBN 13 : 9780470319635
Total Pages : 360 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Hydrodynamics of Free Surface Flows by : Jean-Michel Hervouet

Download or read book Hydrodynamics of Free Surface Flows written by Jean-Michel Hervouet and published by John Wiley & Sons. This book was released on 2007-06-13 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: A definitive guide for accurate state-of-the-art modelling of free surface flows Understanding the dynamics of free surface flows is the starting point of many environmental studies, impact studies, and waterworks design. Typical applications, once the flows are known, are water quality, dam impact and safety, pollutant control, and sediment transport. These studies used to be done in the past with scale models, but these are now being replaced by numerical simulation performed by software suites called “hydro-informatic systems”. The Telemac system is the leading software package worldwide, and has been developed by Electricité de France and Jean-Michel Hervouet, who is the head and main developer of the Telemac project. Written by a leading authority on Computational Fluid Dynamics, the book aims to provide environmentalists, hydrologists, and engineers using hydro-informatic systems such as Telemac and the finite element method, with the knowledge of the basic principles, capabilities, different hypotheses, and limitations. In particular this book: presents the theory for understanding hydrodynamics through an extensive array of case studies such as tides, tsunamis, storm surges, floods, bores, dam break flood waves, density driven currents, hydraulic jumps, making this a principal reference on the topic gives a detailed examination and analysis of the notorious Malpasset dam failure includes a coherent description of finite elements in shallow water delivers a significant treatment of the state-of-the-art flow modelling techniques using Telemac, developed by Electricité de France provides the fundamental physics and theory of free surface flows to be utilised by courses on environmental flows Hydrodynamics of Free Surface Flows is essential reading for those involved in computational fluid dynamics and environmental impact assessments, as well as hydrologists, and bridge, coastal and dam engineers. Guiding readers from fundamental theory to the more advanced topics in the application of the finite element method and the Telemac System, this book is a key reference for a broad audience of students, lecturers, researchers and consultants, right through to the community of users of hydro-informatics systems.