Theoretical Computational Dynamics

Author: Pai

Publisher: CRC Press

ISBN:

Category: Mathematics

Page: 700

View: 565

Emphasis of this text is on the basic assumptions and the formulation of the theory of compressible flow as well as on the methods of solving problems. Published by Science Press, Beijing, distributed by VNR in the US. Annotation copyrighted by Book News, Inc., Portland, OR

Theoretical Computational Dynamics

Author: Shih-I Pai

Publisher: CRC Press

ISBN:

Category: Mathematics

Page: 700

View: 372

This book gives an introduction to the theoretical and computational fluid dynamics of a compressible fluid. It focuses on the basic assumptions and the formulation of the theory of compressible flow as well as on the methods of solving problems.

Theoretical and Computational Dynamics of a Compressible Flow

Author: Shih-I Pai

Publisher: Springer

ISBN:

Category: Medical

Page: 699

View: 244

The purpose of this book is to give an introduction to the theoretical and computational fluid dynamics of a compressible fluid. Emphasis is laid on the basic assumptions and the formulation of the theory of compressible flow as well as on the methods of solving problems. This book is intended for the students of fluid dynamics who are interested in the essential results and the useful techniques in the theoretical analysis and numerical methods of compressible flow. The authors also hope that the book may serve as a useful reference to research workers in this field. After the introduction, the thermodynamical and physical properties of gases are briefly reviewed. These serve as a foundation for the fluid dynamics of compressible fluid. In order to limit the size of this book, we consider main ly the flow of an ideal compressible fluid in which the effects of transport phenomena are neglected (Chapter I to XVI). However, the transport phenomena do have much influence on the flow ofa compressible fluid. Hence in Chapter XVII, some basic concepts of transport phenomena are discussed, which prepare the students for further study of some important aspects of a compressible fluid flow.

Fluid Dynamics

Theory, Computation, and Numerical Simulation

Author: Constantine Pozrikidis

Publisher: Springer

ISBN:

Category: Science

Page: 774

View: 752

Ready access to computers has de?ned a new era in teaching and learning. The opportunity to extend the subject matter of traditional science and engineering curricula into the realm of scienti?c computing has become not only desirable, but also necessary. Thanks to portability and low overhead and operating cost, experimentation by numerical simulation has become a viable substitute, and occasionally the only alternative, to physical experimentation. The new framework has necessitated the writing of texts and monographs from a modern perspective that incorporates numerical and computer progr- ming aspects as an integral part of the discourse. Under this modern directive, methods, concepts, and ideas are presented in a uni?ed fashion that motivates and underlines the urgency of the new elements, but neither compromises nor oversimpli?es the rigor of the classical approach. Interfacing fundamental concepts and practical methods of scienti?c c- puting can be implemented on di?erent levels. In one approach, theory and implementation are kept complementary and presented in a sequential fashion. In another approach, the coupling involves deriving computational methods and simulation algorithms, and translating equations into computer code - structions immediately following problem formulations. Seamlessly interjecting methods of scienti?c computing in the traditional discourse o?ers a powerful venue for developing analytical skills and obtaining physical insight.

Fluid Dynamics

Theoretical and Computational Approaches, Third Edition

Author: Z.U.A. Warsi

Publisher: CRC Press

ISBN:

Category: Technology & Engineering

Page: 872

View: 240

Many introductions to fluid dynamics offer an illustrative approach that demonstrates some aspects of fluid behavior, but often leave you without the tools necessary to confront new problems. For more than a decade, Fluid Dynamics: Theoretical and Computational Approaches has supplied these missing tools with a constructive approach that made the book a bestseller. Now in its third edition, it supplies even more computational skills in addition to a solid foundation in theory. After laying the groundwork in theoretical fluid dynamics, independent of any particular coordinate system in order to allow coordinate transformation of the equations, the author turns to the technique of writing Navier–Stokes and Euler’s equations, flow of inviscid fluids, laminar viscous flow, and turbulent flow. He also includes requisite mathematics in several “Mathematical Expositions” at the end of the book and provides abundant end-of-chapter problems. What’s New in the Third Edition? New section on free surface flow New section on instability of flows through Chaos and nonlinear dissipative systems New section on formulation of the large eddy simulation (LES) problem New example problems and exercises that reflect new and important topics of current interest By integrating a strong theoretical foundation with practical computational tools, Fluid Dynamics: Theoretical and Computational Approaches, Third Edition is an indispensable guide to the methods needed to solve new and unfamiliar problems in fluid dynamics.

Fluid Dynamics

Theoretical and Computational Approaches

Author: Z.U.A. Warsi

Publisher: CRC Press

ISBN:

Category: Mathematics

Page: 683

View: 860

Fluid Dynamics presents the basic development of equations in coordinate-invariant form and their use in solving problems in laminar and turbulent flows. This book presents a thorough examination of fluid dynamics by combining fundamental principles with systematic, mathematical, and computational approaches.

Fluid Dynamics

Theory, Computation, and Numerical Simulation

Author: C. Pozrikidis

Publisher: Springer

ISBN:

Category: Technology & Engineering

Page: 901

View: 455

This book provides an accessible introduction to the basic theory of fluid mechanics and computational fluid dynamics (CFD) from a modern perspective that unifies theory and numerical computation. Methods of scientific computing are introduced alongside with theoretical analysis and MATLAB® codes are presented and discussed for a broad range of topics: from interfacial shapes in hydrostatics, to vortex dynamics, to viscous flow, to turbulent flow, to panel methods for flow past airfoils. The third edition includes new topics, additional examples, solved and unsolved problems, and revised images. It adds more computational algorithms and MATLAB programs. It also incorporates discussion of the latest version of the fluid dynamics software library FDLIB, which is freely available online. FDLIB offers an extensive range of computer codes that demonstrate the implementation of elementary and advanced algorithms and provide an invaluable resource for research, teaching, classroom instruction, and self-study. This book is a must for students in all fields of engineering, computational physics, scientific computing, and applied mathematics. It can be used in both undergraduate and graduate courses in fluid mechanics, aerodynamics, and computational fluid dynamics. The audience includes not only advanced undergraduate and entry-level graduate students, but also a broad class of scientists and engineers with a general interest in scientific computing.

Advances in Computational Dynamics of Particles, Materials and Structures

Author: Jason Har

Publisher: John Wiley & Sons

ISBN:

Category: Technology & Engineering

Page: 704

View: 993

Computational methods for the modeling and simulation of the dynamic response and behavior of particles, materials and structural systems have had a profound influence on science, engineering and technology. Complex science and engineering applications dealing with complicated structural geometries and materials that would be very difficult to treat using analytical methods have been successfully simulated using computational tools. With the incorporation of quantum, molecular and biological mechanics into new models, these methods are poised to play an even bigger role in the future. Advances in Computational Dynamics of Particles, Materials and Structures not only presents emerging trends and cutting edge state-of-the-art tools in a contemporary setting, but also provides a unique blend of classical and new and innovative theoretical and computational aspects covering both particle dynamics, and flexible continuum structural dynamics applications. It provides a unified viewpoint and encompasses the classical Newtonian, Lagrangian, and Hamiltonian mechanics frameworks as well as new and alternative contemporary approaches and their equivalences in [start italics]vector and scalar formalisms[end italics] to address the various problems in engineering sciences and physics. Highlights and key features Provides practical applications, from a unified perspective, to both particle and continuum mechanics of flexible structures and materials Presents new and traditional developments, as well as alternate perspectives, for space and time discretization Describes a unified viewpoint under the umbrella of Algorithms by Design for the class of linear multi-step methods Includes fundamentals underlying the theoretical aspects and numerical developments, illustrative applications and practice exercises The completeness and breadth and depth of coverage makes Advances in Computational Dynamics of Particles, Materials and Structures a valuable textbook and reference for graduate students, researchers and engineers/scientists working in the field of computational mechanics; and in the general areas of computational sciences and engineering.

Introduction to Theoretical and Computational Fluid Dynamics

Author: Constantine Pozrikidis

Publisher: Oxford University Press

ISBN:

Category: Computers

Page: 1243

View: 713

This book discusses the fundamental principles and equations governing the motion of incompressible Newtonian fluids, and simultaneously introduces numerical methods for solving a broad range of problems. Appendices provide a wealth of information that establishes the necessary mathematical and computational framework.

Dynamics and Control of Trajectory Tubes

Theory and Computation

Author: Alexander B. Kurzhanski

Publisher: Springer

ISBN:

Category: Mathematics

Page: 445

View: 402

This monograph presents theoretical methods involving the Hamilton–Jacobi–Bellman formalism in conjunction with set-valued techniques of nonlinear analysis to solve significant problems in dynamics and control. The emphasis is on issues of reachability, feedback control synthesis under complex state constraints, hard or double bounds on controls, and performance in finite time. Guaranteed state estimation, output feedback control, and hybrid dynamics are also discussed. Although the focus is on systems with linear structure, the authors indicate how to apply each approach to nonlinear and nonconvex systems. The main theoretical results lead to computational schemes based on extensions of ellipsoidal calculus that provide complete solutions to the problems. These computational schemes in turn yield software tools that can be applied effectively to high-dimensional systems. Ellipsoidal Techniques for Problems of Dynamics and Control: Theory and Computation will interest graduate and senior undergraduate students, as well as researchers and practitioners interested in control theory, its applications, and its computational realizations.

Computation and Combinatorics in Dynamics, Stochastics and Control

The Abel Symposium, Rosendal, Norway, August 2016

Author: Elena Celledoni

Publisher: Springer

ISBN:

Category: Mathematics

Page: 737

View: 834

The Abel Symposia volume at hand contains a collection of high-quality articles written by the world’s leading experts, and addressing all mathematicians interested in advances in deterministic and stochastic dynamical systems, numerical analysis, and control theory. In recent years we have witnessed a remarkable convergence between individual mathematical disciplines that approach deterministic and stochastic dynamical systems from mathematical analysis, computational mathematics and control theoretical perspectives. Breakthrough developments in these fields now provide a common mathematical framework for attacking many different problems related to differential geometry, analysis and algorithms for stochastic and deterministic dynamics. In the Abel Symposium 2016, which took place from August 16-19 in Rosendal near Bergen, leading researchers in the fields of deterministic and stochastic differential equations, control theory, numerical analysis, algebra and random processes presented and discussed the current state of the art in these diverse fields. The current Abel Symposia volume may serve as a point of departure for exploring these related but diverse fields of research, as well as an indicator of important current and future developments in modern mathematics.

An Introduction to Theoretical and Computational Aerodynamics

Author: Jack Moran

Publisher: Courier Corporation

ISBN:

Category: Technology & Engineering

Page: 464

View: 848

Concise text discusses properties of wings and airfoils in incompressible and primarily inviscid flow, viscid flows, panel methods, finite difference methods, and computation of transonic flows past thin airfoils. 1984 edition.

Economic Dynamics

Theory and Computation

Author: John Stachurski

Publisher: MIT Press

ISBN:

Category: Business & Economics

Page: 373

View: 943

"Topics covered in detail include nonlinear dynamic systems, finite state Markov chains, stochastic dynamic programming, and stochastic stability and computation of equilibria. The models are predominantly nonlinear, and the emphasis is on studying nonlinear systems in their original form, rather than by means of rudimentary approximation methods such as linearization."--Pub. desc.

Advances in the Theory of Atomic and Molecular Systems

Dynamics, Spectroscopy, Clusters, and Nanostructures

Author: Piotr Piecuch

Publisher: Springer Science & Business Media

ISBN:

Category: Science

Page: 288

View: 696

Advances in the Theory of Atomic and Molecular Systems, is a collection of contributions presenting recent theoretical and computational developments that provide new insights into the structure, properties, and behavior of a variety of atomic and molecular systems. This volume (subtitled “Dynamics, Spectroscopy, Clusters, and Nanostructures”) deals with the topics of “Quantum Dynamics and Spectroscopy”, “Complexes and Clusters”, and “Nanostructures and Complex Systems”. This volume is an invaluable resource for faculty, graduate students, and researchers interested in theoretical and computational chemistry and physics, physical chemistry and chemical physics, molecular spectroscopy, and related areas of science and engineering.

High Performance Computing in Computational Dynamics

Presented at 1994 International Mechanical Engineering Congress and Exposition, Chicago, Illinois, November 6-11, 1994

Author: Kumar K. Tamma

Publisher:

ISBN:

Category: Computer-aided engineering

Page: 129

View: 596

Computational Fluid Dynamics

Applications in Environmental Hydraulics

Author: Paul D. Bates

Publisher: John Wiley & Sons

ISBN:

Category: Science

Page: 540

View: 730

Uniquely outlines CFD theory in a manner relevant to environmental applications. This book addresses the basic topics in CFD modelling in a thematic manner to provided the necessary theoretical background, as well as providing global cases studies showing how CFD models can be used in practice demonstrating how good practice can be achieved , with reference to both established and new applications. First book to apply CFD to the environmental sciences Written at a level suitable for non-mathematicians