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Author: Harry E. Moses Publisher: ISBN: Category : Aerodynamics Languages : en Pages : 32
Book Description
Turbulence is found in all regions of the atmosphere, where it plays an essential role in meteorology, affects flight characteristics of vehicles, and accounts for some of the erratic behaviour of the ionosphere. The report arose out of the attempt to see whether some of the properties of turbulence could be obtained from vorticity solutions of the Navier-Stokes equations, since it is generally assumed that these equations govern the motion of turbulent fluids. For simplicity, the fluid was taken to be incompressible and of infinite extent. Exact vorticity solutions were found, which in a sense are the simplest possible ones. They have much structure in space but they lack the time-fluctuations characteristic of turbulence. Despite the failure of these solutions to describe turbulent flow, they should be of interest because they can be added to the very short list of exact vorticity solutions of fluid dynamics, and are very different from the previously known ones. (Author).
Author: Harry E. Moses Publisher: ISBN: Category : Aerodynamics Languages : en Pages : 32
Book Description
Turbulence is found in all regions of the atmosphere, where it plays an essential role in meteorology, affects flight characteristics of vehicles, and accounts for some of the erratic behaviour of the ionosphere. The report arose out of the attempt to see whether some of the properties of turbulence could be obtained from vorticity solutions of the Navier-Stokes equations, since it is generally assumed that these equations govern the motion of turbulent fluids. For simplicity, the fluid was taken to be incompressible and of infinite extent. Exact vorticity solutions were found, which in a sense are the simplest possible ones. They have much structure in space but they lack the time-fluctuations characteristic of turbulence. Despite the failure of these solutions to describe turbulent flow, they should be of interest because they can be added to the very short list of exact vorticity solutions of fluid dynamics, and are very different from the previously known ones. (Author).
Author: Andrew J. Majda Publisher: Cambridge University Press ISBN: 9780521639484 Category : Mathematics Languages : en Pages : 562
Book Description
This book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to current research topics. While the contents center on mathematical theory, many parts of the book showcase the interaction between rigorous mathematical theory, numerical, asymptotic, and qualitative simplified modeling, and physical phenomena. The first half forms an introductory graduate course on vorticity and incompressible flow. The second half comprise a modern applied mathematics graduate course on the weak solution theory for incompressible flow.
Author: Constantine Pozrikidis Publisher: Oxford University Press ISBN: 0199752079 Category : Computers Languages : en Pages : 1274
Book Description
This book discusses the fundamental principles and equations governing the motion of incompressible Newtonian fluids, and simultaneously introduces numerical methods for solving a broad range of problems. Appendices provide a wealth of information that establishes the necessary mathematical and computational framework.
Author: C. Foias Publisher: Cambridge University Press ISBN: 1139428993 Category : Science Languages : en Pages : 363
Book Description
This book presents the mathematical theory of turbulence to engineers and physicists, and the physical theory of turbulence to mathematicians. The mathematical technicalities are kept to a minimum within the book, enabling the language to be at a level understood by a broad audience.
Author: L. Quartapelle Publisher: Birkhäuser ISBN: 3034885792 Category : Science Languages : en Pages : 296
Book Description
This book presents different formulations of the equations governing incompressible viscous flows, in the form needed for developing numerical solution procedures. The conditions required to satisfy the no-slip boundary conditions in the various formulations are discussed in detail. Rather than focussing on a particular spatial discretization method, the text provides a unitary view of several methods currently in use for the numerical solution of incompressible Navier-Stokes equations, using either finite differences, finite elements or spectral approximations. For each formulation, a complete statement of the mathematical problem is provided, comprising the various boundary, possibly integral, and initial conditions, suitable for any theoretical and/or computational development of the governing equations. The text is suitable for courses in fluid mechanics and computational fluid dynamics. It covers that part of the subject matter dealing with the equations for incompressible viscous flows and their determination by means of numerical methods. A substantial portion of the book contains new results and unpublished material.
Author: Matania Ben-artzi Publisher: World Scientific ISBN: 1783263016 Category : Mathematics Languages : en Pages : 315
Book Description
This volume deals with the classical Navier-Stokes system of equations governing the planar flow of incompressible, viscid fluid. It is a first-of-its-kind book, devoted to all aspects of the study of such flows, ranging from theoretical to numerical, including detailed accounts of classical test problems such as “driven cavity” and “double-driven cavity”.A comprehensive treatment of the mathematical theory developed in the last 15 years is elaborated, heretofore never presented in other books. It gives a detailed account of the modern compact schemes based on a “pure streamfunction” approach. In particular, a complete proof of convergence is given for the full nonlinear problem.This volume aims to present a variety of numerical test problems. It is therefore well positioned as a reference for both theoretical and applied mathematicians, as well as a text that can be used by graduate students pursuing studies in (pure or applied) mathematics, fluid dynamics and mathematical physics./a
Author: Zhilin Li Publisher: SIAM ISBN: 9780898717464 Category : Mathematics Languages : en Pages : 348
Book Description
This book provides an introduction to the immersed interface method (IIM), a powerful numerical method for solving interface problems and problems defined on irregular domains for which analytic solutions are rarely available. This book gives a complete description of the IIM, discusses recent progress in the area, and describes numerical methods for a number of classic interface problems. It also contains many numerical examples that can be used as benchmark problems for numerical methods designed for interface problems on irregular domains.
Author: Katate Masatsuka Publisher: Lulu.com ISBN: 1304827933 Category : Science Languages : en Pages : 306
Book Description
Version 2.9 (May. 2024): This is a unique and highly technical book on Computational Fluid Dynamics (CFD). The first half talks about mathematical foundations and governing equations ranging from simple model equations (advection/diffusion, Euler-Tricomi, Cauchy-Riemann, Burgers, etc.) used for algorithm development to the incompressible/compressible Euler and Navier-Stokes equations in various forms with complete Jacobians and eigen-structures in 1, 2, and 3 dimensions. The other half talks about general methods for deriving exact solutions (separation of variables, transformation, superposition, etc.) and numerous exact solutions that can be readily used for accuracy verification of a CFD code (Ringleb's flow, Fraenkel's flow, boundary layer, viscous shock structure, etc.). This book can be a very useful resource for students studying basics of CFD as well as researchers/practitioners in CFD. - PDF version is available at cfdbooks.com. [Note: PDF does not contain some contents of the Printed version.]
Author: Harry E. Moses
Author: Harry E. Moses
Author: Andrew J. Majda
Author: P. G. Drazin
Author: Constantine Pozrikidis
Author: C. Foias
Author: L. Quartapelle
Author: Matania Ben-artzi
Author: Zhilin Li
Author: Katate Masatsuka
Author: