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Author : C. P. Thompson
Publisher :
ISBN 13 : 9788241500800
Total Pages : 100 pages
Book Rating : 4.5/5 (8 download)
Download or read book Developments in the Solution of the Incompressible Navier Stokes Equations written by C. P. Thompson and published by . This book was released on 1991 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : L. Quartapelle
Publisher : Birkhäuser
ISBN 13 : 3034885792
Total Pages : 296 pages
Book Rating : 4.0/5 (348 download)
Download or read book Numerical Solution of the Incompressible Navier-Stokes Equations written by L. Quartapelle and published by Birkhäuser. This book was released on 2013-03-07 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 A substantial portion of the book contains new results and unpublished material.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 : Guilong Gui
Publisher : Springer Science & Business Media
ISBN 13 : 3642360289
Total Pages : 173 pages
Book Rating : 4.6/5 (423 download)
Download or read book Stability to the Incompressible Navier-Stokes Equations written by Guilong Gui and published by Springer Science & Business Media. This book was released on 2013-04-13 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis contains results of Dr. Guilong Gui during his PhD period with the aim to understand incompressible Navier-Stokes equations. It is devoted to the study of the stability to the incompressible Navier-Stokes equations. There is great potential for further theoretical and numerical research in this field. The techniques developed in carrying out this work are expected to be useful for other physical model equations. It is also hopeful that the thesis could serve as a valuable reference on current developments in research topics related to the incompressible Navier-Stokes equations. It was nominated by the Graduate University of Chinese Academy of Sciences as an outstanding PhD thesis.
Author : James C. Robinson
Publisher : Cambridge University Press
ISBN 13 : 131658934X
Total Pages : 247 pages
Book Rating : 4.3/5 (165 download)
Download or read book Recent Progress in the Theory of the Euler and Navier–Stokes Equations written by James C. Robinson and published by Cambridge University Press. This book was released on 2016-01-21 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: The rigorous mathematical theory of the Navier–Stokes and Euler equations has been a focus of intense activity in recent years. This volume, the product of a workshop in Venice in 2013, consolidates, surveys and further advances the study of these canonical equations. It consists of a number of reviews and a selection of more traditional research articles on topics that include classical solutions to the 2D Euler equation, modal dependency for the 3D Navier–Stokes equation, zero viscosity Boussinesq equations, global regularity and finite-time singularities, well-posedness for the diffusive Burgers equations, and probabilistic aspects of the Navier–Stokes equation. The result is an accessible summary of a wide range of active research topics written by leaders in their field, together with some exciting new results. The book serves both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.
Author : Murli M. Gupta
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (317 download)
Download or read book High Accuracy Solutions of Incompressible Navier-Stokes Equations written by Murli M. Gupta and published by . This book was released on 1990 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Grzegorz Łukaszewicz
Publisher : Springer
ISBN 13 : 331927760X
Total Pages : 395 pages
Book Rating : 4.3/5 (192 download)
Download or read book Navier–Stokes Equations written by Grzegorz Łukaszewicz and published by Springer. This book was released on 2016-04-12 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to the study of the Navier–Stokes equations, providing a comprehensive reference for a range of applications: from advanced undergraduate students to engineers and professional mathematicians involved in research on fluid mechanics, dynamical systems, and mathematical modeling. Equipped with only a basic knowledge of calculus, functional analysis, and partial differential equations, the reader is introduced to the concept and applications of the Navier–Stokes equations through a series of fully self-contained chapters. Including lively illustrations that complement and elucidate the text, and a collection of exercises at the end of each chapter, this book is an indispensable, accessible, classroom-tested tool for teaching and understanding the Navier–Stokes equations. Incompressible Navier–Stokes equations describe the dynamic motion (flow) of incompressible fluid, the unknowns being the velocity and pressure as functions of location (space) and time variables. A solution to these equations predicts the behavior of the fluid, assuming knowledge of its initial and boundary states. These equations are one of the most important models of mathematical physics: although they have been a subject of vivid research for more than 150 years, there are still many open problems due to the nature of nonlinearity present in the equations. The nonlinear convective term present in the equations leads to phenomena such as eddy flows and turbulence. In particular, the question of solution regularity for three-dimensional problem was appointed by Clay Institute as one of the Millennium Problems, the key problems in modern mathematics. The problem remains challenging and fascinating for mathematicians, and the applications of the Navier–Stokes equations range from aerodynamics (drag and lift forces), to the design of watercraft and hydroelectric power plants, to medical applications such as modeling the flow of blood in the circulatory system.
Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3663111717
Total Pages : 302 pages
Book Rating : 4.6/5 (631 download)
Download or read book Projection and Quasi-Compressibility Methods for Solving the Incompressible Navier-Stokes Equations written by and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Projection methods had been introduced in the late sixties by A. Chorin and R. Teman to decouple the computation of velocity and pressure within the time-stepping for solving the nonstationary Navier-Stokes equations. Despite the good performance of projection methods in practical computations, their success remained somewhat mysterious as the operator splitting implicitly introduces a nonphysical boundary condition for the pressure. The objectives of this monograph are twofold. First, a rigorous error analysis is presented for existing projection methods by means of relating them to so-called quasi-compressibility methods (e.g. penalty method, pressure stabilzation method, etc.). This approach highlights the intrinsic error mechanisms of these schemes and explains the reasons for their limitations. Then, in the second part, more sophisticated new schemes are constructed and analyzed which are exempted from most of the deficiencies of the classical projection and quasi-compressibility methods. '... this book should be mandatory reading for applied mathematicians specializing in computational fluid dynamics.' J.-L.Guermond. Mathematical Reviews, Ann Arbor
Author : Jennifer Samson Dacles
Publisher :
ISBN 13 :
Total Pages : 266 pages
Book Rating : 4.:/5 (47 download)
Download or read book Numerical Solution of Incompressible Navier-Stokes Equations Using a Velocity-vorticity Formulation written by Jennifer Samson Dacles and published by . This book was released on 1991 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D.P. Eppel
Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.:/5 (82 download)
Download or read book Solution of Incompressible Navier-stokes Equations written by D.P. Eppel and published by . This book was released on 1988 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : L. Quartapelle
Publisher : Springer Science & Business Media
ISBN 13 : 9783764329358
Total Pages : 312 pages
Book Rating : 4.3/5 (293 download)
Download or read book Numerical Solution of the Incompressible Navier-Stokes Equations written by L. Quartapelle and published by Springer Science & Business Media. This book was released on 1993-09-01 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Pierre Gilles Lemarie-Rieusset
Publisher : CRC Press
ISBN 13 : 9781420035674
Total Pages : 412 pages
Book Rating : 4.0/5 (356 download)
Download or read book Recent developments in the Navier-Stokes problem written by Pierre Gilles Lemarie-Rieusset and published by CRC Press. This book was released on 2002-04-26 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Navier-Stokes equations: fascinating, fundamentally important, and challenging,. Although many questions remain open, progress has been made in recent years. The regularity criterion of Caffarelli, Kohn, and Nirenberg led to many new results on existence and non-existence of solutions, and the very active search for mild solutions in the 1990's culminated in the theorem of Koch and Tataru that, in some ways, provides a definitive answer. Recent Developments in the Navier-Stokes Problem brings these and other advances together in a self-contained exposition presented from the perspective of real harmonic analysis. The author first builds a careful foundation in real harmonic analysis, introducing all the material needed for his later discussions. He then studies the Navier-Stokes equations on the whole space, exploring previously scattered results such as the decay of solutions in space and in time, uniqueness, self-similar solutions, the decay of Lebesgue or Besov norms of solutions, and the existence of solutions for a uniformly locally square integrable initial value. Many of the proofs and statements are original and, to the extent possible, presented in the context of real harmonic analysis. Although the existence, regularity, and uniqueness of solutions to the Navier-Stokes equations continue to be a challenge, this book is a welcome opportunity for mathematicians and physicists alike to explore the problem's intricacies from a new and enlightening perspective.
Author : Jian Li
Publisher : Springer Nature
ISBN 13 : 3030946363
Total Pages : 129 pages
Book Rating : 4.0/5 (39 download)
Download or read book Finite Volume Methods for the Incompressible Navier–Stokes Equations written by Jian Li and published by Springer Nature. This book was released on 2022-01-20 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims to provide a comprehensive understanding of the most recent developments in finite volume methods. Its focus is on the development and analysis of these methods for the two- and three-dimensional Navier-Stokes equations, supported by extensive numerical results. It covers the most used lower-order finite element pairs, with well-posedness and optimal analysis for these finite volume methods.The authors have attempted to make this book self-contained by offering complete proofs and theoretical results. While most of the material presented has been taught by the authors in a number of institutions over the past several years, they also include several updated theoretical results for the finite volume methods for the incompressible Navier-Stokes equations. This book is primarily developed to address research needs for students and academic and industrial researchers. It is particularly valuable as a research reference in the fields of engineering, mathematics, physics, and computer sciences.
Author :
Publisher :
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.:/5 (926 download)
Download or read book Solution of the Incompressible Navier Stokes Equations on Unstructured Meshes written by and published by . This book was released on 2004 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : National Aeronautics and Space Administration (NASA)
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781722161941
Total Pages : 26 pages
Book Rating : 4.1/5 (619 download)
Download or read book Development of a Time-Dependent Incompressible Navier-Stokes Solver Based on a Fractional-Step Method written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-02 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development, validation and application of a fractional step solution method of the time-dependent incompressible Navier-Stokes equations in generalized coordinate systems are discussed. A solution method that combines a finite-volume discretization with a novel choice of the dependent variables and a fractional step splitting to obtain accurate solutions in arbitrary geometries was previously developed for fixed-grids. In the present research effort, this solution method is extended to include more general situations, including cases with moving grids. The numerical techniques are enhanced to gain efficiency and generality. Rosenfeld, Moshe Unspecified Center NCC2-562...
Author : Murli M. Gupta
Publisher :
ISBN 13 :
Total Pages : 25 pages
Book Rating : 4.:/5 (128 download)
Download or read book High Accuracy Solutions of Incompressible Navier-Stokes Equations written by Murli M. Gupta and published by . This book was released on 1990 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bo-nan Jiang
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (31 download)
Download or read book Least-squares Solution of Incompressible Navier-Stokes Equations with the P-version of Finite Elements written by Bo-nan Jiang and published by . This book was released on 1991 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yunggui Jung
Publisher :
ISBN 13 :
Total Pages : 274 pages
Book Rating : 4.:/5 (215 download)
Download or read book A Solution Procedure of Incompressible Navier-Stokes Equations written by Yunggui Jung and published by . This book was released on 1988 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:
