Lagrangian Fluid Dynamics PDF Download
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Author: Andrew Bennett
Publisher: Cambridge University Press
ISBN: 0521853109
Category : Mathematics
Languages : en
Pages : 23
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Book Description
This 2006 book provides a detailed and comprehensive analytical development of the Lagrangian formulation of fluid dynamics.
Author: Andrew Bennett
Publisher: Cambridge University Press
ISBN: 0521853109
Category : Mathematics
Languages : en
Pages : 23
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Book Description
This 2006 book provides a detailed and comprehensive analytical development of the Lagrangian formulation of fluid dynamics.
Author: Lawrence Sirovich
Publisher: Springer Science & Business Media
ISBN: 1461231566
Category : Science
Languages : en
Pages : 375
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Book Description
This collection of articles has its origin in a meeting which took place June 12-15, 1989, on the grounds of Salve Regina College in Newport, Rhode Island. The meeting was blessed by beautiful, balmy weather and an idyllic setting. The sessions themselves took place in Ochre Court, one of the elegant and stately old summer cottages for which Newport is acclaimed. Lectures were presented in the grand ballroom overlooking the famous Cliff Walk and Block Island Sound. Counter to general belief, the pleasant surroundings did not appear to encourage truancy or in any other way diminish the quality of the meeting. On the contrary, for the four days of the meeting there was a high level of excitement and optimism about the new perspectives in turbulence, a tone that carried over to lively dinner and evening discussions. The participants represented a broad range of backgrounds, extending from pure mathemat ics to experimental engineering. A dialogue began with the first speakers which cut across the boundaries and gave to the meeting a mood of unity which persisted.
Author: William Smyth
Publisher:
ISBN: 9781794807525
Category :
Languages : en
Pages : 186
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Book Description
This is a graduate-level textbook for students in the natural sciences. After reviewing the necessary math, it describes the logical path from Newton's laws of motion to our modern understanding of fluid mechanics. It does not describe engineering applications but instead focuses on phenomena found in nature. Once developed, the theory is applied to three familiar examples of flows that can be observed easily in Earth's atmosphere, oceans, rivers and lakes: vortices, interfacial waves, and hydraulic transitions. The student will then have both (1) the tools to analyze a wide range of naturally-occurring flows and (2) a solid foundation for more advanced studies in atmospheric dynamics and physical oceanography. Appendices give more detailed explanations and optional topics.
Author: Gary Webb
Publisher: Springer
ISBN: 3319725114
Category : Science
Languages : en
Pages : 306
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Book Description
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.
Author: Roman Jackiw
Publisher: Springer Science & Business Media
ISBN: 9780387954226
Category : Science
Languages : en
Pages : 148
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Book Description
Explains the motivation and reviewing the classical theory in a new form; Discusses conservation laws and Euler equations; For one-dimensional cases, the models presented are completely integrable
Author: Albert S. Kim
Publisher: BoD – Books on Demand
ISBN: 1789843723
Category : Science
Languages : en
Pages : 174
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Book Description
As researchers deal with processes and phenomena that are geometrically complex and phenomenologically coupled the demand for high-performance computational fluid dynamics (CFD) increases continuously. The intrinsic nature of coupled irreversibility requires computational tools that can provide physically meaningful results within a reasonable time. This book collects the state-of-the-art CFD research activities and future R
Author: Pijush K. Kundu
Publisher: Academic Press
ISBN: 0123821002
Category : Science
Languages : en
Pages : 919
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Book Description
Suitable for both a first or second course in fluid mechanics at the graduate or advanced undergraduate level, this book presents the study of how fluids behave and interact under various forces and in various applied situations - whether in the liquid or gaseous state or both.
Author: M'hamed Souli
Publisher: John Wiley & Sons
ISBN: 1118618688
Category : Technology & Engineering
Languages : en
Pages : 189
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Book Description
This book provides the fundamental basics for solving fluid structure interaction problems, and describes different algorithms and numerical methods used to solve problems where fluid and structure can be weakly or strongly coupled. These approaches are illustrated with examples arising from industrial or academic applications. Each of these approaches has its own performance and limitations. The added mass technique is described first. Following this, for general coupling problems involving large deformation of the structure, the Navier-Stokes equations need to be solved in a moving mesh using an ALE formulation. The main aspects of the fluid structure coupling are then developed. The first and by far simplest coupling method is explicit partitioned coupling. In order to preserve the flexibility and modularity that are inherent in the partitioned coupling, we also describe the implicit partitioned coupling using an iterative process. In order to reduce computational time for large-scale problems, an introduction to the Proper Orthogonal Decomposition (POD) technique applied to FSI problems is also presented. To extend the application of coupling problems, mathematical descriptions and numerical simulations of multiphase problems using level set techniques for interface tracking are presented and illustrated using specific coupling problems. Given the book's comprehensive coverage, engineers, graduate students and researchers involved in the simulation of practical fluid structure interaction problems will find this book extremely useful.
Author: Hongqing Song
Publisher: Springer
ISBN: 9811301735
Category : Technology & Engineering
Languages : en
Pages : 266
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Book Description
This book systematically introduces engineering fluid mechanics in a simple and understandable way, focusing on the basic concepts, principles and methods. Engineering fluid mechanics is necessary for professionals and students in fields such as civil, environmental, mechanical, and petroleum engineering. Unlike most of the current textbooks and monographs, which are too complicated and include huge numbers of math formulas and equations, this book introduces essential concepts and flow rules in a clear and elementary way that can be used in further research. In addition, it provides numerous useful tables and diagrams that can be quickly and directly checked for industry applications. Furthermore, it highlights the connection between free flow and porous flow, which can aid advanced interdisciplinary research such as nanotech and environmental science. Last but not least, each chapter presents a variety of problems to offer readers a better understanding about the principles and applications of fluid mechanics.
Author: Jürgen Zierep
Publisher: Springer Nature
ISBN: 3658348127
Category : Technology & Engineering
Languages : en
Pages : 253
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Book Description
This mature textbook brings the fundamentals of fluid mechanics in a concise and mathematically understandable presentation. In the current edition, a section on dissipation and viscous potential flows has been added. Exercises with solutions help to apply the material correctly and promote understanding. This book is a translation of the original German 11th edition Grundzüge der Strömungslehre by Jürgen Zierep & Karl Bühler, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2018. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.
