Explicit Numerical Methods for the Solution of the Incompressible Navier-Stokes Equations

Explicit Numerical Methods for the Solution of the Incompressible Navier-Stokes Equations PDF Author: Kungl. Tekniska högskolan. Institutionen för numerisk analys och datalogi
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 14

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Explicit Numerical Methods for the Solution of the Incompressible Navier-Stokes Equations

Explicit Numerical Methods for the Solution of the Incompressible Navier-Stokes Equations PDF Author: Kungl. Tekniska högskolan. Institutionen för numerisk analys och datalogi
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 14

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A Rapid Implicit-explicit Solution to the Two-dimensional Time-dependent Incompressible Navier-Stokes Equations

A Rapid Implicit-explicit Solution to the Two-dimensional Time-dependent Incompressible Navier-Stokes Equations PDF Author: Joseph Eugene Davis
Publisher:
ISBN:
Category : Aerofoils
Languages : en
Pages : 26

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Numerical Solution of the Incompressible Navier-Stokes Equations

Numerical Solution of the Incompressible Navier-Stokes Equations PDF Author: L. Quartapelle
Publisher: Birkhäuser
ISBN: 9783034885805
Category : Science
Languages : en
Pages : 292

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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.

Numerical methods for the Navier-Stokes equations

Numerical methods for the Navier-Stokes equations PDF Author: Friedrich-Karl Hebeker
Publisher: Springer-Verlag
ISBN: 3663140075
Category : Technology & Engineering
Languages : de
Pages : 328

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Numerical Solution of the Incompressible Navier-Stokes Equations

Numerical Solution of the Incompressible Navier-Stokes Equations PDF Author: Luigi Quartapelle
Publisher: Birkhauser
ISBN:
Category : Mathematics
Languages : en
Pages : 312

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Book Description
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.

Numerical Solutions of Unsteady Incompressible Navier-Stokes Equations Using an Explicit Finite Analytic Scheme

Numerical Solutions of Unsteady Incompressible Navier-Stokes Equations Using an Explicit Finite Analytic Scheme PDF Author: Weizhong Dai
Publisher:
ISBN:
Category :
Languages : en
Pages : 352

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Finite Element Methods for Navier-Stokes Equations

Finite Element Methods for Navier-Stokes Equations PDF Author: Vivette Girault
Publisher: Springer Science & Business Media
ISBN: 3642616232
Category : Mathematics
Languages : en
Pages : 386

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Book Description
The material covered by this book has been taught by one of the authors in a post-graduate course on Numerical Analysis at the University Pierre et Marie Curie of Paris. It is an extended version of a previous text (cf. Girault & Raviart [32J) published in 1979 by Springer-Verlag in its series: Lecture Notes in Mathematics. In the last decade, many engineers and mathematicians have concentrated their efforts on the finite element solution of the Navier-Stokes equations for incompressible flows. The purpose of this book is to provide a fairly comprehen sive treatment of the most recent developments in that field. To stay within reasonable bounds, we have restricted ourselves to the case of stationary prob lems although the time-dependent problems are of fundamental importance. This topic is currently evolving rapidly and we feel that it deserves to be covered by another specialized monograph. We have tried, to the best of our ability, to present a fairly exhaustive treatment of the finite element methods for inner flows. On the other hand however, we have entirely left out the subject of exterior problems which involve radically different techniques, both from a theoretical and from a practical point of view. Also, we have neither discussed the implemen tation of the finite element methods presented by this book, nor given any explicit numerical result. This field is extensively covered by Peyret & Taylor [64J and Thomasset [82].

Numerical Solution of Incompressible Navier-Stokes Equations Using a Velocity-vorticity Formulation

Numerical Solution of Incompressible Navier-Stokes Equations Using a Velocity-vorticity Formulation PDF Author: Jennifer Samson Dacles
Publisher:
ISBN:
Category :
Languages : en
Pages : 266

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Projection and Quasi-Compressibility Methods for Solving the Incompressible Navier-Stokes Equations

Projection and Quasi-Compressibility Methods for Solving the Incompressible Navier-Stokes Equations PDF Author:
Publisher: Springer Science & Business Media
ISBN: 3663111717
Category : Technology & Engineering
Languages : en
Pages : 302

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Book Description
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

Numerical Simulations of Incompressible Flows

Numerical Simulations of Incompressible Flows PDF Author: M. M. Hafez
Publisher: World Scientific
ISBN: 9812383174
Category : Technology & Engineering
Languages : en
Pages : 708

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Book Description
"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.