Topological Fluid Mechanics

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Lectures On Topological Fluid Mechanics

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Author : Mitchell A. Berger
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-05

Lectures On Topological Fluid Mechanics written by Mitchell A. Berger 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 2009-05-05 with Language Arts & Disciplines categories.

This volume contains a wide-ranging collection of valuable research papers written by some of the most eminent experts in the field. Topics range from fundamental aspects of mathematical fluid mechanics to DNA tangles and knotted DNAs in sedimentation.

Topological Methods In Hydrodynamics

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Author : Vladimir I. Arnold
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-08

Topological Methods In Hydrodynamics written by Vladimir I. Arnold 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 2008-01-08 with Mathematics categories.

The first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. It describes the necessary preliminary notions both in hydrodynamics and pure mathematics with numerous examples and figures. The book is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry.

Topological Fluid Mechanics

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Author : International Union of Theoretical and Applied Mechanics
language : en
Publisher: Cambridge University Press
Release Date : 1990-04-12

Topological Fluid Mechanics written by International Union of Theoretical and Applied Mechanics and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-04-12 with Mathematics categories.

There has been developing interest in the aspects of fluid mechanics and of magnetohydrodynamics that can be properly described as topological, rather than exclusively analytical in character. This book contains the proceedings of the IUTAM symposium on Topological Fluid Mechanics held at Cambridge UK, 13-18 August, 1989. Topics covered include the kinematic and dynamical problems in laminar and turbulent flows, as well as the range of problems that arise from the magnetohydrodynamics of highly conducting flows. The papers presented cover all approaches; theoretical, computational and experimental, and each paper has been edited by a member of the International Scientific Committee.

An Introduction To The Geometry And Topology Of Fluid Flows

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Author : Renzo L. Ricca
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-11-30

An Introduction To The Geometry And Topology Of Fluid Flows written by Renzo L. Ricca 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 2001-11-30 with Science categories.

Leading experts present a unique, invaluable introduction to the study of the geometry and typology of fluid flows. From basic motions on curves and surfaces to the recent developments in knots and links, the reader is gradually led to explore the fascinating world of geometric and topological fluid mechanics. Geodesics and chaotic orbits, magnetic knots and vortex links, continual flows and singularities become alive with more than 160 figures and examples. In the opening article, H. K. Moffatt sets the pace, proposing eight outstanding problems for the 21st century. The book goes on to provide concepts and techniques for tackling these and many other interesting open problems.

Topological Fluid Mechanics

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Author : Henry Keith Moffatt
language : en
Publisher:
Release Date : 1990

Topological Fluid Mechanics written by Henry Keith Moffatt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.

Springer Handbook Of Experimental Fluid Mechanics

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Author : Cameron Tropea
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-09

Springer Handbook Of Experimental Fluid Mechanics written by Cameron Tropea 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 2007-10-09 with Science categories.

Accompanying DVD-ROM contains ... "all chapters of the Springer Handbook."--Page 3 of cover.

The Finite Volume Method In Computational Fluid Dynamics

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Author : F. Moukalled
language : en
Publisher: Springer
Release Date : 2015-08-13

The Finite Volume Method In Computational Fluid Dynamics written by F. Moukalled and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-13 with Technology & Engineering categories.

This textbook explores both the theoretical foundation of the Finite Volume Method (FVM) and its applications in Computational Fluid Dynamics (CFD). Readers will discover a thorough explanation of the FVM numerics and algorithms used for the simulation of incompressible and compressible fluid flows, along with a detailed examination of the components needed for the development of a collocated unstructured pressure-based CFD solver. Two particular CFD codes are explored. The first is uFVM, a three-dimensional unstructured pressure-based finite volume academic CFD code, implemented within Matlab. The second is OpenFOAM®, an open source framework used in the development of a range of CFD programs for the simulation of industrial scale flow problems. With over 220 figures, numerous examples and more than one hundred exercise on FVM numerics, programming, and applications, this textbook is suitable for use in an introductory course on the FVM, in an advanced course on numerics, and as a reference for CFD programmers and researchers.

Cellular Flows

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Author : Vladimir Shtern
language : en
Publisher: Cambridge University Press
Release Date : 2018-02-08

Cellular Flows written by Vladimir Shtern and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-08 with Science categories.

This book discusses flow cells, their emergence, multiplication, coalescence, disappearance, and physical reasons for their metamorphoses.

Magnetohydrodynamics And Fluid Dynamics Action Principles And Conservation Laws

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Author : Gary Webb
language : en
Publisher: Springer
Release Date : 2018-02-05

Magnetohydrodynamics And Fluid Dynamics Action Principles And Conservation Laws written by Gary Webb and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-05 with Science categories.

This text focuses on conservation laws in magnetohydrodynamics, gasdynamics and hydrodynamics. A grasp of new conservation laws is essential in fusion and space plasmas, as well as in geophysical fluid dynamics; they can be used to test numerical codes, or to reveal new aspects of the underlying physics, e.g., by identifying the time history of the fluid elements as an important key to understanding fluid vorticity or in investigating the stability of steady flows. The ten Galilean Lie point symmetries of the fundamental action discussed in this book give rise to the conservation of energy, momentum, angular momentum and center of mass conservation laws via Noether’s first theorem. The advected invariants are related to fluid relabeling symmetries – so-called diffeomorphisms associated with the Lagrangian map – and are obtained by applying the Euler-Poincare approach to Noether’s second theorem. The book discusses several variants of helicity including kinetic helicity, cross helicity, magnetic helicity, Ertels’ theorem and potential vorticity, the Hollman invariant, and the Godbillon Vey invariant. The book develops the non-canonical Hamiltonian approach to MHD using the non-canonical Poisson bracket, while also refining the multisymplectic approach to ideal MHD and obtaining novel nonlocal conservation laws. It also briefly discusses Anco and Bluman’s direct method for deriving conservation laws. A range of examples is used to illustrate topological invariants in MHD and fluid dynamics, including the Hopf invariant, the Calugareanu invariant, the Taylor magnetic helicity reconnection hypothesis for magnetic fields in highly conducting plasmas, and the magnetic helicity of Alfvén simple waves, MHD topological solitons, and the Parker Archimedean spiral magnetic field. The Lagrangian map is used to obtain a class of solutions for incompressible MHD. The Aharonov-Bohm interpretation of magnetic helicity and cross helicity is discussed. In closing, examples of magnetosonic N-waves are used to illustrate the role of the wave number and group velocity concepts for MHD waves. This self-contained and pedagogical guide to the fundamentals will benefit postgraduate-level newcomers and seasoned researchers alike.