Numerical Solution Of The Incompressible Navier Stokes Equations

Author : L. Quartapelle
Publisher : Birkhäuser
Page : 296 pages
File Size : 51,9 Mb
Release : 2013-03-07
Category : Science
ISBN : 9783034885799

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Numerical Solution of the Incompressible Navier-Stokes Equations by L. Quartapelle Pdf

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 A substantial portion of the book contains new results and unpublished material.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 : L. Quartapelle
Publisher : Birkhäuser
Page : 292 pages
File Size : 44,9 Mb
Release : 2012-02-06
Category : Science
ISBN : 3034885806

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Numerical Solution of the Incompressible Navier-Stokes Equations by L. Quartapelle Pdf

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 : Alexandre Joel Chorin
Publisher : Unknown
Page : 0 pages
File Size : 44,7 Mb
Release : 1967
Category : Electronic
ISBN : OCLC:931922642

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The Numerical Solution of the Navier-Stokes Equations for an Incompressible Fluid by Alexandre Joel Chorin Pdf

Author : L. Quartapelle
Publisher : Springer Science & Business Media
Page : 312 pages
File Size : 49,7 Mb
Release : 1993-09-01
Category : Science
ISBN : 3764329351

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Numerical Solution of the Incompressible Navier-Stokes Equations by L. Quartapelle Pdf

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 : Sven Gross,Arnold Reusken
Publisher : Springer Science & Business Media
Page : 487 pages
File Size : 54,9 Mb
Release : 2011-04-26
Category : Mathematics
ISBN : 9783642196867

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Numerical Methods for Two-phase Incompressible Flows by Sven Gross,Arnold Reusken Pdf

This book is the first monograph providing an introduction to and an overview of numerical methods for the simulation of two-phase incompressible flows. The Navier-Stokes equations describing the fluid dynamics are examined in combination with models for mass and surfactant transport. The book pursues a comprehensive approach: important modeling issues are treated, appropriate weak formulations are derived, level set and finite element discretization techniques are analyzed, efficient iterative solvers are investigated, implementational aspects are considered and the results of numerical experiments are presented. The book is aimed at M Sc and PhD students and other researchers in the fields of Numerical Analysis and Computational Engineering Science interested in the numerical treatment of two-phase incompressible flows.

Author : Stuart Eames Rogers
Publisher : Unknown
Page : 52 pages
File Size : 53,6 Mb
Release : 1986
Category : Navier-Stokes equations
ISBN : NASA:31769000570153

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Numerical Solution of the Incompressible Navier-Stokes Equations in Three-dimensional Generalized Curvilinear Coordinates by Stuart Eames Rogers Pdf

Author : Luigi Quartapelle
Publisher : Birkhauser
Page : 312 pages
File Size : 42,5 Mb
Release : 1993
Category : Mathematics
ISBN : UOM:39015029960641

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Numerical Solution of the Incompressible Navier-Stokes Equations by Luigi Quartapelle Pdf

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.

Author : Alexandre Joel Chorin
Publisher : Unknown
Page : 54 pages
File Size : 46,9 Mb
Release : 2015-08-04
Category : Mathematics
ISBN : 1332170579

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The Numerical Solution of the Navier-Stokes Equations for an Incompressible Fluid (Classic Reprint) by Alexandre Joel Chorin Pdf

Excerpt from The Numerical Solution of the Navier-Stokes Equations for an Incompressible Fluid A finite difference method for solving the time-dependent Navier-Stokes equations for an Incompressible fluid Is Introduced. This method uses the primitive variables, i. e. the velocities and the pressure, and is equally applicable to problems in two and three space dimensions. Test problems are solved, and an application to a three dimensional convection problem is presented. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Author : Guilong Gui
Publisher : Springer Science & Business Media
Page : 173 pages
File Size : 47,8 Mb
Release : 2013-04-13
Category : Mathematics
ISBN : 9783642360282

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Stability to the Incompressible Navier-Stokes Equations by Guilong Gui Pdf

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 : Wolfgang Hackbusch,Rolf Rannacher
Publisher : Springer-Verlag
Page : 174 pages
File Size : 51,9 Mb
Release : 2013-09-03
Category : Technology & Engineering
ISBN : 9783663140047

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Numerical Treatment of the Navier-Stokes Equations by Wolfgang Hackbusch,Rolf Rannacher Pdf

Author : John G. Heywood,Kyuya Masuda,Reimund Rautmann,Vsevolod A. Solonnikov
Publisher : Springer
Page : 329 pages
File Size : 42,5 Mb
Release : 2006-11-14
Category : Science
ISBN : 9783540474982

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The Navier-Stokes Equations II - Theory and Numerical Methods by John G. Heywood,Kyuya Masuda,Reimund Rautmann,Vsevolod A. Solonnikov Pdf

V.A. Solonnikov, A. Tani: Evolution free boundary problem for equations of motion of viscous compressible barotropic liquid.- W. Borchers, T. Miyakawa:On some coercive estimates for the Stokes problem in unbounded domains.- R. Farwig, H. Sohr: An approach to resolvent estimates for the Stokes equations in L(q)-spaces.- R. Rannacher: On Chorin's projection method for the incompressible Navier-Stokes equations.- E. S}li, A. Ware: Analysis of the spectral Lagrange-Galerkin method for the Navier-Stokes equations.- G. Grubb: Initial value problems for the Navier-Stokes equations with Neumann conditions.- B.J. Schmitt, W. v.Wahl: Decomposition of solenoidal fields into poloidal fields, toroidal fields and the mean flow. Applications to the Boussinesq-equations.- O. Walsh: Eddy solutions of the Navier-Stokesequations.- W. Xie: On a three-norm inequality for the Stokes operator in nonsmooth domains.

Author : M. M. Hafez
Publisher : World Scientific
Page : 708 pages
File Size : 50,9 Mb
Release : 2003
Category : Technology & Engineering
ISBN : 9789812383174

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Numerical Simulations of Incompressible Flows by M. M. Hafez Pdf

"Consists mainly of papers presented at a workshop ... held in Half Moon Bay, California, June 19-21, 2001 ... to honor Dr. Dochan Kwak on the occasion of his 60th birthday ... organized by M. Hafez of University of California Davis and Dong Ho Lee of Seoul National University"--Dedication, p. ix.

Author : Markus Wabro
Publisher : Unknown
Page : 91 pages
File Size : 54,7 Mb
Release : 2003
Category : Multigrid methods (Numerical analysis)
ISBN : 3854875568

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Algebraic Multigrid Methods for the Numerical Solution of the Incompressible Navier-Stokes Equations by Markus Wabro Pdf

Author : Giovanni P. Galdi,John G. Heywood,Rolf Rannacher
Publisher : Birkhäuser
Page : 300 pages
File Size : 43,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034884242

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Fundamental Directions in Mathematical Fluid Mechanics by Giovanni P. Galdi,John G. Heywood,Rolf Rannacher Pdf

This volume consists of six articles, each treating an important topic in the theory ofthe Navier-Stokes equations, at the research level. Some of the articles are mainly expository, putting together, in a unified setting, the results of recent research papers and conference lectures. Several other articles are devoted mainly to new results, but present them within a wider context and with a fuller exposition than is usual for journals. The plan to publish these articles as a book began with the lecture notes for the short courses of G.P. Galdi and R. Rannacher, given at the beginning of the International Workshop on Theoretical and Numerical Fluid Dynamics, held in Vancouver, Canada, July 27 to August 2, 1996. A renewed energy for this project came with the founding of the Journal of Mathematical Fluid Mechanics, by G.P. Galdi, J. Heywood, and R. Rannacher, in 1998. At that time it was decided that this volume should be published in association with the journal, and expanded to include articles by J. Heywood and W. Nagata, J. Heywood and M. Padula, and P. Gervasio, A. Quarteroni and F. Saleri. The original lecture notes were also revised and updated.

Author : John G. Heywood,Kyuya Masuda,Reimund Rautmann,Vsevolod A. Solonnikov
Publisher : Springer
Page : 245 pages
File Size : 53,8 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540471417

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The Navier-Stokes Equations Theory and Numerical Methods by John G. Heywood,Kyuya Masuda,Reimund Rautmann,Vsevolod A. Solonnikov Pdf

These proceedings contain original (refereed) research articles by specialists from many countries, on a wide variety of aspects of Navier-Stokes equations. Additionally, 2 survey articles intended for a general readership are included: one surveys the present state of the subject via open problems, and the other deals with the interplay between theory and numerical analysis.