Mathematical Fluid Dynamics Present And Future

Author : Yoshihiro Shibata,Yukihito Suzuki
Publisher : Springer
Page : 613 pages
File Size : 47,9 Mb
Release : 2016-12-01
Category : Mathematics
ISBN : 9784431564577

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Mathematical Fluid Dynamics, Present and Future by Yoshihiro Shibata,Yukihito Suzuki Pdf

This volume presents original papers ranging from an experimental study on cavitation jets to an up-to-date mathematical analysis of the Navier-Stokes equations for free boundary problems, reflecting topics featured at the International Conference on Mathematical Fluid Dynamics, Present and Future, held 11–14 November 2014 at Waseda University in Tokyo. The contributions address subjects in one- and two-phase fluid flows, including cavitation, liquid crystal flows, plasma flows, and blood flows. Written by internationally respected experts, these papers highlight the connections between mathematical, experimental, and computational fluid dynamics. The book is aimed at a wide readership in mathematics and engineering, including researchers and graduate students interested in mathematical fluid dynamics.

Author : S. Friedlander,D. Serre
Publisher : Gulf Professional Publishing
Page : 627 pages
File Size : 50,9 Mb
Release : 2003-03-27
Category : Science
ISBN : 9780080533544

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Handbook of Mathematical Fluid Dynamics by S. Friedlander,D. Serre Pdf

The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.

Author : S. Friedlander,D. Serre
Publisher : Elsevier
Page : 687 pages
File Size : 40,9 Mb
Release : 2004-10-06
Category : Science
ISBN : 9780080472911

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Handbook of Mathematical Fluid Dynamics by S. Friedlander,D. Serre Pdf

The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.

Author : Caterina Calgaro,Jean-François Coulombel,Thierry Goudon
Publisher : Springer Science & Business Media
Page : 250 pages
File Size : 55,9 Mb
Release : 2007-12-27
Category : Mathematics
ISBN : 9783764377427

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Analysis and Simulation of Fluid Dynamics by Caterina Calgaro,Jean-François Coulombel,Thierry Goudon Pdf

This volume collects the contributions of a Conference held in June 2005 at the laboratoire Paul Painleve (UMR CNRS 8524) in Lille, France. The meeting was intended to review hot topics and future trends in fluid dynamics, with the objective to foster exchanges of various viewpoints (e.g. theoretical, and numerical) on the addressed questions. It comprises a collection of research articles on recent advances in the analysis and simulation of fluid dynamics.

Author : Richard E. Meyer
Publisher : Courier Corporation
Page : 192 pages
File Size : 51,7 Mb
Release : 2012-03-09
Category : Science
ISBN : 9780486151403

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Introduction to Mathematical Fluid Dynamics by Richard E. Meyer Pdf

Excellent coverage of kinematics, momentum principle, Newtonian fluid, rotating fluids, compressibility, and more. Geared toward advanced undergraduate and graduate students of mathematics and science; prerequisites include calculus and vector analysis. 1971 edition.

Author : A. J. Chorin,J. E. Marsden
Publisher : Springer Science & Business Media
Page : 213 pages
File Size : 54,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781468400823

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A Mathematical Introduction to Fluid Mechanics by A. J. Chorin,J. E. Marsden Pdf

These notes are based on a one-quarter (i. e. very short) course in fluid mechanics taught in the Department of Mathematics of the University of California, Berkeley during the Spring of 1978. The goal of the course was not to provide an exhaustive account of fluid mechanics, nor to assess the engineering value of various approxima tion procedures. The goals were: (i) to present some of the basic ideas of fluid mechanics in a mathematically attractive manner (which does not mean "fully rigorous"); (ii) to present the physical back ground and motivation for some constructions which have been used in recent mathematical and numerical work on the Navier-Stokes equations and on hyperbolic systems; (iil. ) 'to interest some of the students in this beautiful and difficult subject. The notes are divided into three chapters. The first chapter contains an elementary derivation of the equations; the concept of vorticity is introduced at an early stage. The second chapter contains a discussion of potential flow, vortex motion, and boundary layers. A construction of boundary layers using vortex sheets and random walks is presented; it is hoped that it helps to clarify the ideas. The third chapter contains an analysis of one-dimensional gas iv flow, from a mildly modern point of view. Weak solutions, Riemann problems, Glimm's scheme, and combustion waves are discussed. The style is informal and no attempt was made to hide the authors' biases and interests.

Author : Stephen Childress
Publisher : American Mathematical Soc.
Page : 218 pages
File Size : 44,6 Mb
Release : 2009-10-09
Category : Science
ISBN : 9780821848883

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An Introduction to Theoretical Fluid Mechanics by Stephen Childress Pdf

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.

Author : Anatoliĭ Ivanovich Ruban,Jitesh S. B. Gajjar
Publisher : Oxford University Press, USA
Page : 329 pages
File Size : 47,8 Mb
Release : 2014
Category : Science
ISBN : 9780199681730

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Fluid Dynamics by Anatoliĭ Ivanovich Ruban,Jitesh S. B. Gajjar Pdf

This text is designed to give a comprehensive and coherent description of classical fluid dynamics which is suitable for an introductory undergraduate lecture course, and then progressing through more advanced material up to the level of modern research in the field. Topics includeed in this text are: A discussion of Continuum Hypothesis, which is followed by an introduction to macroscopic functions, the velocity vector, pressure, density, and enthalpy ; Properties of a number of flows that are presented by the so-called exact solutions of the Navier-Stokes equations, including the Couette flow between two parallel plates, Hagen-Poiseuille flow through a pipe, and Karman flow above an infinite rotating disk ; Inviscid incompressible flow theory, with particular focus on two-dimensional potential flows ; Compressible flows of perfect gas, including supersonic flows.

Author : R.Kh. Zeytounian
Publisher : Springer
Page : 230 pages
File Size : 48,9 Mb
Release : 2017-12-21
Category : Technology & Engineering
ISBN : 9783319316192

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Challenges in Fluid Dynamics by R.Kh. Zeytounian Pdf

This monograph presents a synopsis of fluid dynamics based on the personal scientific experience of the author who has contributed immensely to the field. The interested reader will also benefit from the general historical context in which the material is presented in the book. The book covers a wide range of relevant topics of the field, and the main tool being rational asymptotic modelling (RAM) approach. The target audience primarily comprises experts in the field of fluid dynamics, but the book may also be beneficial for graduate students.

Author : Jiri Neustupa,Patrick Penel
Publisher : Birkhäuser
Page : 271 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034882439

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Mathematical Fluid Mechanics by Jiri Neustupa,Patrick Penel Pdf

Mathematical modeling and numerical simulation in fluid mechanics are topics of great importance both in theory and technical applications. The present book attempts to describe the current status in various areas of research. The 10 chapters, mostly survey articles, are written by internationally renowned specialists and offer a range of approaches to and views of the essential questions and problems. In particular, the theories of incompressible and compressible Navier-Stokes equations are considered, as well as stability theory and numerical methods in fluid mechanics. Although the book is primarily written for researchers in the field, it will also serve as a valuable source of information to graduate students.

Author : Giovanni Paolo Galdi,John Groves Heywood,Rolf Rannacher
Publisher : Birkhauser
Page : 293 pages
File Size : 51,6 Mb
Release : 2000
Category : Science
ISBN : 0817664149

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Fundamental Directions in Mathematical Fluid Mechanics by Giovanni Paolo Galdi,John Groves Heywood,Rolf Rannacher Pdf

Author : Giovanni Gallavotti
Publisher : Springer Science & Business Media
Page : 588 pages
File Size : 41,9 Mb
Release : 2002
Category : Mathematics
ISBN : 3540414150

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Foundations of Fluid Dynamics by Giovanni Gallavotti Pdf

This monograph on fluid mechanics is not only a superb and unique textbook but also an impressive piece of research. It is the only textbook that fully covers turbulence, all the way from the works of Kolmogorov to modern dynamics.

Author : Giovanna Guidoboni,Alon Harris,Riccardo Sacco
Publisher : Springer Nature
Page : 606 pages
File Size : 48,6 Mb
Release : 2019-11-25
Category : Mathematics
ISBN : 9783030258863

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Ocular Fluid Dynamics by Giovanna Guidoboni,Alon Harris,Riccardo Sacco Pdf

The chapters in this contributed volume showcase current theoretical approaches in the modeling of ocular fluid dynamics in health and disease. By including chapters written by experts from a variety of fields, this volume will help foster a genuinely collaborative spirit between clinical and research scientists. It vividly illustrates the advantages of clinical and experimental methods, data-driven modeling, and physically-based modeling, while also detailing the limitations of each approach. Blood, aqueous humor, vitreous humor, tear film, and cerebrospinal fluid each have a section dedicated to their anatomy and physiology, pathological conditions, imaging techniques, and mathematical modeling. Because each fluid receives a thorough analysis from experts in their respective fields, this volume stands out among the existing ophthalmology literature. Ocular Fluid Dynamics is ideal for current and future graduate students in applied mathematics and ophthalmology who wish to explore the field by investigating open questions, experimental technologies, and mathematical models. It will also be a valuable resource for researchers in mathematics, engineering, physics, computer science, chemistry, ophthalmology, and more.

Author : Frederic Magoules
Publisher : CRC Press
Page : 409 pages
File Size : 43,5 Mb
Release : 2011-08-24
Category : Mathematics
ISBN : 9781439856611

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Computational Fluid Dynamics by Frederic Magoules Pdf

Exploring new variations of classical methods as well as recent approaches appearing in the field, Computational Fluid Dynamics demonstrates the extensive use of numerical techniques and mathematical models in fluid mechanics. It presents various numerical methods, including finite volume, finite difference, finite element, spectral, smoothed particle hydrodynamics (SPH), mixed-element-volume, and free surface flow. Taking a unified point of view, the book first introduces the basis of finite volume, weighted residual, and spectral approaches. The contributors present the SPH method, a novel approach of computational fluid dynamics based on the mesh-free technique, and then improve the method using an arbitrary Lagrange Euler (ALE) formalism. They also explain how to improve the accuracy of the mesh-free integration procedure, with special emphasis on the finite volume particle method (FVPM). After describing numerical algorithms for compressible computational fluid dynamics, the text discusses the prediction of turbulent complex flows in environmental and engineering problems. The last chapter explores the modeling and numerical simulation of free surface flows, including future behaviors of glaciers. The diverse applications discussed in this book illustrate the importance of numerical methods in fluid mechanics. With research continually evolving in the field, there is no doubt that new techniques and tools will emerge to offer greater accuracy and speed in solving and analyzing even more fluid flow problems.

Author : Eduard Feireisl,Trygve G. Karper,Milan Pokorný
Publisher : Birkhäuser
Page : 186 pages
File Size : 44,6 Mb
Release : 2016-11-25
Category : Mathematics
ISBN : 9783319448350

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Mathematical Theory of Compressible Viscous Fluids by Eduard Feireisl,Trygve G. Karper,Milan Pokorný Pdf

This book offers an essential introduction to the mathematical theory of compressible viscous fluids. The main goal is to present analytical methods from the perspective of their numerical applications. Accordingly, we introduce the principal theoretical tools needed to handle well-posedness of the underlying Navier-Stokes system, study the problems of sequential stability, and, lastly, construct solutions by means of an implicit numerical scheme. Offering a unique contribution – by exploring in detail the “synergy” of analytical and numerical methods – the book offers a valuable resource for graduate students in mathematics and researchers working in mathematical fluid mechanics. Mathematical fluid mechanics concerns problems that are closely connected to real-world applications and is also an important part of the theory of partial differential equations and numerical analysis in general. This book highlights the fact that numerical and mathematical analysis are not two separate fields of mathematics. It will help graduate students and researchers to not only better understand problems in mathematical compressible fluid mechanics but also to learn something from the field of mathematical and numerical analysis and to see the connections between the two worlds. Potential readers should possess a good command of the basic tools of functional analysis and partial differential equations including the function spaces of Sobolev type.