The Three-Dimensional Navier-Stokes Equations
The Three-Dimensional Navier-Stokes Equations

Author: James C. Robinson

Publisher: Cambridge University Press

Published: 2016-09-07

Total Pages: 487

ISBN-13: 1107019664

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An accessible treatment of the main results in the mathematical theory of the Navier-Stokes equations, primarily aimed at graduate students.

Vorticity and Incompressible Flow
Vorticity and Incompressible Flow

Author: Andrew J. Majda

Publisher: Cambridge University Press

Published: 2002

Total Pages: 562

ISBN-13: 9780521639484

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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.

The Navier-Stokes Equations
The Navier-Stokes Equations

Author: P. G. Drazin

Publisher: Cambridge University Press

Published: 2006-05-25

Total Pages: 212

ISBN-13: 9780521681629

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This 2006 book details exact solutions to the Navier-Stokes equations for senior undergraduates and graduates or research reference.

Scientific and Technical Aerospace Reports
Scientific and Technical Aerospace Reports

Author:

Publisher:

Published: 1994

Total Pages: 880

ISBN-13:

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Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Numerical Solution of the Incompressible Navier-Stokes Equations
Numerical Solution of the Incompressible Navier-Stokes Equations

Author: L. Quartapelle

Publisher: Birkhäuser

Published: 2013-03-07

Total Pages: 296

ISBN-13: 3034885792

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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.