High Accuracy Non Centered Compact Difference Schemes For Fluid Dynamics Applications
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High Accuracy Non Centered Compact Difference Schemes For Fluid Dynamics Applications
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Author : A. I. Tolstykh
language : en
Publisher: World Scientific
Release Date : 1994
High Accuracy Non Centered Compact Difference Schemes For Fluid Dynamics Applications written by A. I. Tolstykh and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.
This is the first book which describes completely the nontraditional difference schemes which combine the ideas of Pad-type approximation and upwind differencing. These possess some favorable properties and can be used to solve various problems in fluid dynamics and related disciplines. They were proposed by the author in the seventies and are extensively used in Russia. However, they seem to be relatively unknown outside the country. In this book, the author presents the theory of the schemes, to provide some sophisticated algorithms for different computational fluid dynamics problems, to supply readers with useful information which would permit them to construct a rich variety of algorithms of this type and to illustrate the applications of these methods to the numerical simulation of various fluid dynamics phenomena, ranging from supersonic viscous flows to some atmosphere and ocean processes. This book is an essential guide for anyone keenly interested in this field.
High Accuracy Non Centered Compact Difference Schemes For Fluid Dynamics Applications
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Author : Andrei I Tolstykh
language : en
Publisher: World Scientific
Release Date : 1994-09-09
High Accuracy Non Centered Compact Difference Schemes For Fluid Dynamics Applications written by Andrei I Tolstykh and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-09-09 with Mathematics categories.
This is the first book which describes completely the nontraditional difference schemes which combine the ideas of Padé-type approximation and upwind differencing. These possess some favorable properties and can be used to solve various problems in fluid dynamics and related disciplines. They were proposed by the author in the seventies and are extensively used in Russia. However, they seem to be relatively unknown outside the country. In this book, the author presents the theory of the schemes, to provide some sophisticated algorithms for different computational fluid dynamics problems, to supply readers with useful information which would permit them to construct a rich variety of algorithms of this type and to illustrate the applications of these methods to the numerical simulation of various fluid dynamics phenomena, ranging from supersonic viscous flows to some atmosphere and ocean processes. This book is an essential guide for anyone keenly interested in this field.
High Resolution Methods For Incompressible And Low Speed Flows
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Author : D. Drikakis
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-08-02
High Resolution Methods For Incompressible And Low Speed Flows written by D. Drikakis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-02 with Science categories.
The study of incompressible ?ows is vital to many areas of science and te- nology. This includes most of the ?uid dynamics that one ?nds in everyday life from the ?ow of air in a room to most weather phenomena. Inundertakingthesimulationofincompressible?uid?ows,oneoftentakes many issues for granted. As these ?ows become more realistic, the problems encountered become more vexing from a computational point-of-view. These range from the benign to the profound. At once, one must contend with the basic character of incompressible ?ows where sound waves have been analytically removed from the ?ow. As a consequence vortical ?ows have been analytically “preconditioned,” but the ?ow has a certain non-physical character (sound waves of in?nite velocity). At low speeds the ?ow will be deterministic and ordered, i.e., laminar. Laminar ?ows are governed by a balance between the inertial and viscous forces in the ?ow that provides the stability. Flows are often characterized by a dimensionless number known as the Reynolds number, which is the ratio of inertial to viscous forces in a ?ow. Laminar ?ows correspond to smaller Reynolds numbers. Even though laminar ?ows are organized in an orderly manner, the ?ows may exhibit instabilities and bifurcation phenomena which may eventually lead to transition and turbulence. Numerical modelling of suchphenomenarequireshighaccuracyandmostimportantlytogaingreater insight into the relationship of the numerical methods with the ?ow physics.
Exact Finite Difference Schemes
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Author : Sergey Lemeshevsky
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2016-09-26
Exact Finite Difference Schemes written by Sergey Lemeshevsky and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-26 with Mathematics categories.
Exact Finite-Difference Schemes is a first overview of the topic also describing the state-of-the-art in this field of numerical analysis. Construction of exact difference schemes for various parabolic and elliptic partial differential equations are discussed, including vibrations and transport problems. After this, applications are discussed, such as the discretisation of ODEs and PDEs and numerical methods for stochastic differential equations. Contents: Basic notation Preliminary results Hyperbolic equations Parabolic equations Use of exact difference schemes to construct NSFD discretizations of differential equations Exact and truncated difference schemes for boundary-value problem Exact difference schemes for stochastic differential equations Numerical blow-up time Bibliography
Dissipative Phase Transitions
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Author : Pierluigi Colli
language : en
Publisher: World Scientific
Release Date : 2006-03-06
Dissipative Phase Transitions written by Pierluigi Colli and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-06 with Mathematics categories.
Phase transition phenomena arise in a variety of relevant real world situations, such as melting and freezing in a solid-liquid system, evaporation, solid-solid phase transitions in shape memory alloys, combustion, crystal growth, damage in elastic materials, glass formation, phase transitions in polymers, and plasticity.The practical interest of such phenomenology is evident and has deeply influenced the technological development of our society, stimulating intense mathematical research in this area.This book analyzes and approximates some models and related partial differential equation problems that involve phase transitions in different contexts and include dissipation effects.
Wavelet And Wave Analysis As Applied To Materials With Micro Or Nanostructure
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Author : Carlo Cattani
language : en
Publisher: World Scientific
Release Date : 2007
Wavelet And Wave Analysis As Applied To Materials With Micro Or Nanostructure written by Carlo Cattani and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Science categories.
This seminal book unites three different areas of modern science: the micromechanics and nanomechanics of composite materials; wavelet analysis as applied to physical problems; and the propagation of a new type of solitary wave in composite materials, nonlinear waves. Each of the three areas is described in a simple and understandable form, focusing on the many perspectives of the links among the three.All of the techniques and procedures are described here in the clearest and most open form, enabling the reader to quickly learn and use them when faced with the new and more advanced problems that are proposed in this book. By combining these new scientific concepts into a unitary model and enlightening readers on this pioneering field of research, readers will hopefully be inspired to explore the more advanced aspects of this promising scientific direction. The application of wavelet analysis to nanomaterials and waves in nanocomposites can be very appealing to both specialists working on theoretical developments in wavelets as well as specialists applying these methods and experiments in the mechanics of materials.
Godunov Methods
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Author : E.F. Toro
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Godunov Methods written by E.F. Toro and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This edited review book on Godunov methods contains 97 articles, all of which were presented at the international conference on Godunov Methods: Theory and Applications, held at Oxford in October 1999, to commemo rate the 70th birthday of the Russian mathematician Sergei K. Godunov. The meeting enjoyed the participation of 140 scientists from 20 countries; one of the participants commented: everyone is here, meaning that virtu ally everybody who had made a significant contribution to the general area of numerical methods for hyperbolic conservation laws, along the lines first proposed by Godunov in the fifties, was present at the meeting. Sadly, there were important absentees, who due to personal circumstance could not at tend this very exciting gathering. The central theme o{ the meeting, and of this book, was numerical methods for hyperbolic conservation laws fol lowing Godunov's key ideas contained in his celebrated paper of 1959. But Godunov's contributions to science are not restricted to Godunov's method.
The Method Of Maximum Entropy
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Author : Henryk Gzyl
language : en
Publisher: World Scientific
Release Date : 1995
The Method Of Maximum Entropy written by Henryk Gzyl and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
This monograph is an outgrowth of a set of lecture notes on the maximum entropy method delivered at the 1st Venezuelan School of Mathematics. This yearly event aims at acquainting graduate students and university teachers with the trends, techniques and open problems of current interest. In this book the author reviews several versions of the maximum entropy method and makes its underlying philosophy clear.
Homogenization In Memory Of Serguei Kozlov
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Author : Ekaterina Ivanova Kozlova
language : en
Publisher: World Scientific
Release Date : 1999-05-14
Homogenization In Memory Of Serguei Kozlov written by Ekaterina Ivanova Kozlova and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-05-14 with Science categories.
This is a memorial volume in honor of Serguei Kozlov, one of the founders of homogenization, a new branch of mathematical physics. This volume contains original contributions of leading world experts in the field.
Theory Of The Navier Stokes Equations
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Author : John G Heywood
language : en
Publisher: World Scientific
Release Date : 1998-05-30
Theory Of The Navier Stokes Equations written by John G Heywood and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-30 with Science categories.
This volume collects the articles presented at the Third International Conference on “The Navier-Stokes Equations: Theory and Numerical Methods”, held in Oberwolfach, Germany. The articles are important contributions to a wide variety of topics in the Navier-Stokes theory: general boundary conditions, flow exterior to an obstacle, conical boundary points, the controllability of solutions, compressible flow, non-Newtonian flow, magneto-hydrodynamics, thermal convection, the interaction of fluids with elastic solids, the regularity of solutions, and Rothe's method of approximation.