Numerical solution of the incompressible Navier-Stokes equations
L. Quartapelle. International Series of Numerical Mathematics Birkhäuser, (1993)
Abstract
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 A substantial portion of the book contains new results and unpublished material.
(private-note)cited by Rempfer (2006, @ p. 107): `It is important to emphasize at this point that there were othersbefore us who have recognized the crucial role that boundary
conditions play in certain formulations of the incompressible
Navier-Stokes equations. We refer the reader, in particular, to the
excellent book by Quartapelle ͓3͔, which, despite its innocuous
title, focuses heavily on exactly these issues.'
%0 Book
%1 quartapelle1993numerical
%A Quartapelle, Luigi
%B International Series of Numerical Mathematics
%D 1993
%I Birkhäuser
%K 76m10-finite-element-methods-in-fluid-mechanics 76m20-finite-difference-methods-in-fluid-mechanics 76m25-other-numerical-methods-in-fluid-mechanics
%T Numerical solution of the incompressible Navier-Stokes equations
%U http://www.worldcat.org/isbn/3764329351
%X 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.
%@ 3764329351
@book{quartapelle1993numerical,
abstract = {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.},
added-at = {2017-06-29T07:13:07.000+0200},
author = {Quartapelle, Luigi},
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comment = {(private-note)cited by Rempfer (2006, @ p. 107): `It is important to emphasize at this point that there were othersbefore us who have recognized the crucial role that boundary
conditions play in certain formulations of the incompressible
Navier-Stokes equations. We refer the reader, in particular, to the
excellent book by Quartapelle ͓3͔, which, despite its innocuous
title, focuses heavily on exactly these issues.'},
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intrahash = {a85a753617d8d484f1e35f1ae4739b38},
isbn = {3764329351},
keywords = {76m10-finite-element-methods-in-fluid-mechanics 76m20-finite-difference-methods-in-fluid-mechanics 76m25-other-numerical-methods-in-fluid-mechanics},
posted-at = {2011-09-22 05:50:56},
priority = {2},
publisher = {Birkhäuser},
series = {International Series of Numerical Mathematics},
timestamp = {2019-11-06T01:23:21.000+0100},
title = {Numerical solution of the incompressible Navier-Stokes equations},
url = {http://www.worldcat.org/isbn/3764329351},
year = 1993
}