Analytical Fluid Dynamics In Lagrangian Variables

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Analytical Fluid Dynamics In Lagrangian Variables

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Author : ANATOLY. ABRASHKIN
language : en
Publisher: World Scientific Publishing Company
Release Date : 2025-02-24

Analytical Fluid Dynamics In Lagrangian Variables written by ANATOLY. ABRASHKIN and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-24 with Science categories.

The monograph focuses on the analytical challenges of describing incompressible fluid flows using Lagrangian variables. The Lagrangian method is presented as a complementary approach to the Eulerian method for studying fluid motion. The fundamental nature of fluid dynamics is linked to tracing the trajectories of individual fluid particles, which is precisely what the Lagrangian method facilitates.The purpose of this publication is to reflect as fully as possible the achievements of analytical fluid dynamics in Lagrangian variables. A significant part of it consists of original articles by the author. Considerable attention is paid to the subtleties of the Lagrangian description and its popularization among experts in fluid dynamics, students, postgraduates, and anyone interested in problems of fluid mechanics.The book can be considered, among other things, as a tutorial on Lagrangian fluid dynamics. The book covers issues of the general description of the movement of incompressible fluid, problems of classical hydrodynamics and geophysical hydrodynamics. Fundamental topics include free-boundary motion, vortices in fluids, and water waves. The book includes a number of problems that take into account the stratification and viscosity of fluids, as well as the rotation of the Earth.

Analytical Fluid Dynamics In Lagrangian Variables

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Author : Anatoly Abrashkin
language : en
Publisher: World Scientific
Release Date : 2025-01-24

Analytical Fluid Dynamics In Lagrangian Variables written by Anatoly Abrashkin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-24 with Science categories.

The monograph focuses on the analytical challenges of describing incompressible fluid flows using Lagrangian variables. The Lagrangian method is presented as a complementary approach to the Eulerian method for studying fluid motion. The fundamental nature of fluid dynamics is linked to tracing the trajectories of individual fluid particles, which is precisely what the Lagrangian method facilitates.The purpose of this publication is to reflect as fully as possible the achievements of analytical fluid dynamics in Lagrangian variables. A significant part of it consists of original articles by the author. Considerable attention is paid to the subtleties of the Lagrangian description and its popularization among experts in fluid dynamics, students, postgraduates, and anyone interested in problems of fluid mechanics.The book can be considered, among other things, as a tutorial on Lagrangian fluid dynamics. The book covers issues of the general description of the movement of incompressible fluid, problems of classical hydrodynamics and geophysical hydrodynamics. Fundamental topics include free-boundary motion, vortices in fluids, and water waves. The book includes a number of problems that take into account the stratification and viscosity of fluids, as well as the rotation of the Earth.

Lagrangian Fluid Dynamics

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Author : Andrew Bennett
language : en
Publisher: Cambridge University Press
Release Date : 2006-03-09

Lagrangian Fluid Dynamics written by Andrew Bennett 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 2006-03-09 with Mathematics categories.

This 2006 book provides a detailed and comprehensive analytical development of the Lagrangian formulation of fluid dynamics.

Analytical Fluid Dynamics

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Author : George Emanuel
language : en
Publisher: CRC Press
Release Date : 2000-12-21

Analytical Fluid Dynamics written by George Emanuel and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-12-21 with Science categories.

The second edition of Analytical Fluid Dynamics presents an expanded and updated treatment of inviscid and laminar viscous compressible flows from a theoretical viewpoint. It emphasizes basic assumptions, the physical aspects of flow, and the appropriate formulations of the governing equations for subsequent analytical treatment. Topics covered inc

Stability Criteria For Fluid Flows

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Author : Adelina Georgescu
language : en
Publisher: World Scientific
Release Date : 2010

Stability Criteria For Fluid Flows written by Adelina Georgescu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Science categories.

This is a comprehensive and self-contained introduction to the mathematical problems of thermal convection. The book delineates the main ideas leading to the authors' variant of the energy method. These can be also applied to other variants of the energy method. The importance of the book lies in its focussing on the best concrete results known in the domain of fluid flows stability and in the systematic treatment of mathematical instruments used in order to reach them.

Analytical Fluid Dynamics Third Edition

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Author : George Emanuel
language : en
Publisher: CRC Press
Release Date : 2017-09-18

Analytical Fluid Dynamics Third Edition written by George Emanuel and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-18 with Technology & Engineering categories.

New Edition Now Covers Shock-Wave Analysis An in-depth presentation of analytical methods and physical foundations, Analytical Fluid Dynamics, Third Edition breaks down the "how" and "why" of fluid dynamics. While continuing to cover the most fundamental topics in fluid mechanics, this latest work emphasizes advanced analytical approaches to aid in the analytical process and corresponding physical interpretation. It also addresses the need for a more flexible mathematical language (utilizing vector and tensor analysis and transformation theory) to cover the growing complexity of fluid dynamics. Revised and updated, the text centers on shock-wave structure, shock-wave derivatives, and shock-produced vorticity; supersonic diffusers; thrust and lift from an asymmetric nozzle; and outlines operator methods and laminar boundary-layer theory. In addition, the discussion introduces pertinent assumptions, reasons for studying a particular topic, background discussion, illustrative examples, and numerous end-of-chapter problems. Utilizing a wide variety of topics on inviscid and viscous fluid dynamics, the author covers material that includes: Viscous dissipation The second law of thermodynamics Calorically imperfect gas flows Aerodynamic sweep Shock-wave interference Unsteady one-dimensional flow Internal ballistics Force and momentum balance The Substitution Principle Rarefaction shock waves A comprehensive treatment of flow property derivatives just downstream of an unsteady three-dimensional shock Shock-generated vorticity Triple points An extended version of the Navier‒Stokes equations Shock-free supersonic diffusers Lift and thrust from an asymmetric nozzle Analytical Fluid Dynamics, Third Edition outlines the basics of analytical fluid mechanics while emphasizing analytical approaches to fluid dynamics. Covering the material in-depth, this book provides an authoritative interpretation of formulations and procedures in analytical fluid dynamics, and offers analytical solutions to fluid dynamic problems.

Compressible Fluid Flow And Systems Of Conservation Laws In Several Space Variables

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Author : A. Majda
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Compressible Fluid Flow And Systems Of Conservation Laws In Several Space Variables written by A. Majda 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 Science categories.

Conservation laws arise from the modeling of physical processes through the following three steps: 1) The appropriate physical balance laws are derived for m-phy- t cal quantities, ul""'~ with u = (ul' ... ,u ) and u(x,t) defined m for x = (xl""'~) E RN (N = 1,2, or 3), t > 0 and with the values m u(x,t) lying in an open subset, G, of R , the state space. The state space G arises because physical quantities such as the density or total energy should always be positive; thus the values of u are often con strained to an open set G. 2) The flux functions appearing in these balance laws are idealized through prescribed nonlinear functions, F.(u), mapping G into J j = 1, ..• ,N while source terms are defined by S(u,x,t) with S a given smooth function of these arguments with values in Rm. In parti- lar, the detailed microscopic effects of diffusion and dissipation are ignored. 3) A generalized version of the principle of virtual work is applied (see Antman [1]). The formal result of applying the three steps (1)-(3) is that the m physical quantities u define a weak solution of an m x m system of conservation laws, o I + N(Wt'u + r W ·F.(u) + W·S(u,x,t))dxdt (1.1) R xR j=l Xj J for all W E C~(RN x R+), W(x,t) E Rm.

Seismic Performance Analysis Of Concrete Gravity Dams

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Author : Gaohui Wang
language : en
Publisher: Springer Nature
Release Date : 2020-07-10

Seismic Performance Analysis Of Concrete Gravity Dams written by Gaohui Wang and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-10 with Technology & Engineering categories.

This book evaluates the seismic performance of concrete gravity dams, considering the effects of strong motion duration, mainshock-aftershock seismic sequence, and near-fault ground motion. It employs both the extended finite element method (XFEM) and concrete damaged plasticity (CDP) models to characterize the mechanical behavior of concrete gravity dams under strong ground motions, including the dam-reservoir-foundation interaction. In addition, it discusses the effects of the initial crack, earthquake direction, and cross-stream seismic excitation on the nonlinear dynamic response to strong ground motions, and on the damage-cracking risk of concrete gravity dams. This book provides a theoretical basis for the seismic performance evaluation of high dams, and can also be used as a reference resource for researchers and graduate students engaged in the seismic design of high dams.

Finite Elements Analysis

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Author : H. Lakshmininarayana
language : en
Publisher: Universities Press
Release Date : 2004-10

Finite Elements Analysis written by H. Lakshmininarayana and has been published by Universities Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10 with Engineering mathematics categories.

This textbook has emerged from three decades of experience gained by the author in education, research and practice. The basic concepts, mathematical models and computational algorithms supporting the Finite Element Method (FEM) are clearly and concisely developed.

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.