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Mathematical Methods In Fluid Dynamics


Mathematical Methods In Fluid Dynamics
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Mathematical Methods In Fluid Dynamics


Mathematical Methods In Fluid Dynamics
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Author : Miloslav Feistauer
language : en
Publisher: Chapman and Hall/CRC
Release Date : 1993-07-05

Mathematical Methods In Fluid Dynamics written by Miloslav Feistauer and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-07-05 with Mathematics categories.


Part of the "Pitman Monographs and Surveys in Pure and Applied Mathematics" series, this text examines mathematical methods in fluid dynamics.



Mathematical Methods In Fluid Dynamics


Mathematical Methods In Fluid Dynamics
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Author : M. Feistauer
language : en
Publisher: Halsted Press
Release Date : 1993-08-01

Mathematical Methods In Fluid Dynamics written by M. Feistauer and has been published by Halsted Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-08-01 with Fluid dynamics categories.




An Introduction To Theoretical Fluid Mechanics


An Introduction To Theoretical Fluid Mechanics
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Author : Stephen Childress
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-10-09

An Introduction To Theoretical Fluid Mechanics written by Stephen Childress and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-09 with Science categories.


This book gives an overview of classical topics in fluid dynamics, focusing on the kinematics and dynamics of incompressible inviscid and Newtonian viscous fluids, but also including some material on compressible flow. The topics are chosen to illustrate the mathematical methods of classical fluid dynamics. The book is intended to prepare the reader for more advanced topics of current research interest.



Mathematical Methods In Aerodynamics


Mathematical Methods In Aerodynamics
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Author : Lazãr Dragos
language : en
Publisher: Springer Science & Business Media
Release Date : 2003

Mathematical Methods In Aerodynamics written by Lazãr Dragos 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 2003 with Mathematics categories.


The book provides a solid and unitary mathematical foundation of the basic and advanced principles of aerodynamics. The densities of the fundamental solutions are determined from singular integral equations. The fundamental solutions method in aerodynamics was considered for the first time and used by the author in over 30 papers published in prestigious journals (e.g. QAM, AIAA, ZAMM, etc) in order to develop a unitary theory. The boundary element method is used for numerical approximations in compressible aerodynamics. The text incorporates several original contributions, among other traditional mathematical methods. The book also represents a comprehensive presentation of research results since the seminal books on aerodynamics of Ashley and Landahl (1965) and Katz & Plotkin (1991). A rigorous mathematical approach is used to present and explain classic and modern results in this field of science. The author has therefore conceived several appendices on the Distribution Theory, the singular Integral Equations Theory, the Finite Part, Gauss Quadrature Formulae, etc. The book is concluded by a relevant bibliographical list which is especially useful for researchers. The book is aimed primarily at applied mathematicians, aeronautical engineers and space science researchers. The text may be used also as a comprehensive introduction to the mathematical foundations fo aerodynamics, by graduate students n engineering and fluid dynamics with a strong mathematical background.



Recent Developments Of Mathematical Fluid Mechanics


Recent Developments Of Mathematical Fluid Mechanics
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Author : Herbert Amann
language : en
Publisher: Birkhäuser
Release Date : 2016-03-17

Recent Developments Of Mathematical Fluid Mechanics written by Herbert Amann and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-17 with Mathematics categories.


The aim of this proceeding is addressed to present recent developments of the mathematical research on the Navier-Stokes equations, the Euler equations and other related equations. In particular, we are interested in such problems as: 1) existence, uniqueness and regularity of weak solutions2) stability and its asymptotic behavior of the rest motion and the steady state3) singularity and blow-up of weak and strong solutions4) vorticity and energy conservation5) fluid motions around the rotating axis or outside of the rotating body6) free boundary problems7) maximal regularity theorem and other abstract theorems for mathematical fluid mechanics.



Fluid Mechanics And Heat Transfer


Fluid Mechanics And Heat Transfer
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Author : Kaveh Hariri Asli
language : en
Publisher: CRC Press
Release Date : 2015-06-10

Fluid Mechanics And Heat Transfer written by Kaveh Hariri Asli and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-10 with Science categories.


This valuable new book focuses on new methods and techniques in fluid mechanics and heat transfer in mechanical engineering. The book includes the research of the authors on the development of optimal mathematical models and also uses modern computer technology and mathematical methods for the analysis of nonlinear dynamic processes.It covers techn



Computational Methods For Fluid Dynamics


Computational Methods For Fluid Dynamics
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Author : Joel H. Ferziger
language : en
Publisher: Springer
Release Date : 2019-08-16

Computational Methods For Fluid Dynamics written by Joel H. Ferziger and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-16 with Technology & Engineering categories.


This book is a guide to numerical methods for solving fluid dynamics problems. The most widely used discretization and solution methods, which are also found in most commercial CFD-programs, are described in detail. Some advanced topics, like moving grids, simulation of turbulence, computation of free-surface flows, multigrid methods and parallel computing, are also covered. Since CFD is a very broad field, we provide fundamental methods and ideas, with some illustrative examples, upon which more advanced techniques are built. Numerical accuracy and estimation of errors are important aspects and are discussed in many examples. Computer codes that include many of the methods described in the book can be obtained online. This 4th edition includes major revision of all chapters; some new methods are described and references to more recent publications with new approaches are included. Former Chapter 7 on solution of the Navier-Stokes equations has been split into two Chapters to allow for a more detailed description of several variants of the Fractional Step Method and a comparison with SIMPLE-like approaches. In Chapters 7 to 13, most examples have been replaced or recomputed, and hints regarding practical applications are made. Several new sections have been added, to cover, e.g., immersed-boundary methods, overset grids methods, fluid-structure interaction and conjugate heat transfer.



Mathematical Fluid Mechanics


Mathematical Fluid Mechanics
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Author : B. Mahanthesh
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-06-08

Mathematical Fluid Mechanics written by B. Mahanthesh 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 2021-06-08 with Technology & Engineering categories.


This book aims to include various significant research topics of mathematical fluid mechanics having relevance or applications in engineering and applied sciences, covering the tools and techniques used for developing mathematical methods and modelling related to real-life situations.



Fundamental Directions In Mathematical Fluid Mechanics


Fundamental Directions In Mathematical Fluid Mechanics
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Author : Giovanni P. Galdi
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Fundamental Directions In Mathematical Fluid Mechanics written by Giovanni P. Galdi and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This volume consists of six articles, each treating an important topic in the theory ofthe Navier-Stokes equations, at the research level. Some of the articles are mainly expository, putting together, in a unified setting, the results of recent research papers and conference lectures. Several other articles are devoted mainly to new results, but present them within a wider context and with a fuller exposition than is usual for journals. The plan to publish these articles as a book began with the lecture notes for the short courses of G.P. Galdi and R. Rannacher, given at the beginning of the International Workshop on Theoretical and Numerical Fluid Dynamics, held in Vancouver, Canada, July 27 to August 2, 1996. A renewed energy for this project came with the founding of the Journal of Mathematical Fluid Mechanics, by G.P. Galdi, J. Heywood, and R. Rannacher, in 1998. At that time it was decided that this volume should be published in association with the journal, and expanded to include articles by J. Heywood and W. Nagata, J. Heywood and M. Padula, and P. Gervasio, A. Quarteroni and F. Saleri. The original lecture notes were also revised and updated.



Numerical Fluid Dynamics


Numerical Fluid Dynamics
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Author : Dia Zeidan
language : en
Publisher: Springer Nature
Release Date : 2022-05-18

Numerical Fluid Dynamics written by Dia Zeidan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-18 with Technology & Engineering categories.


This book contains select invited chapters on the latest research in numerical fluid dynamics and applications. The book aims at discussing the state-of-the-art developments and improvements in numerical fluid dynamics. All the chapters are presented for approximating and simulating how these methods and computations interact with different topics such as shock waves, non-equilibrium single and two-phase flows, elastic human-airway, and global climate. In addition to the fundamental research involving novel types of mathematical sciences, the book presents theoretical and numerical developments in fluid dynamics. The contributions by well-established global experts in fluid dynamics have brought different features of numerical fluid dynamics in a single book. The book serves as a useful resource for high-impact advances involving computational fluid dynamics, including recent developments in mathematical modelling, numerical methods such as finite volume, finite difference and finite element, symbolic computations, and open numerical programs such as OpenFOAM software. The book addresses interdisciplinary topics in industrial mathematics that lie at the forefront of research into new types of mathematical sciences, including theory and applications. This book will be beneficial to industrial and academic researchers, as well as graduate students, working in the fields of natural and engineering sciences. The book will provide the reader highly successful materials and necessary research in the field of fluid dynamics.