On the Convergence of Discrete Approximations to the Navier-Stokes Equations - Couverture rigide

Chorin, Alexandre Joel

Couverture rigide

ISBN 10 : 1342067118 ISBN 13 : 9781342067111

Editeur : Palala Press, 2015

Synopsis

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.

This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.

As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

A propos du livre

Présentation de l'éditeur

I ntroduction. The Navler-S tokes equations, describing the motion of a viscous Incompressible fluid, can be written In the dlmenslonless form (1) Sv +grad p= -jji +Z +E, (v =3 j (2) dlv V= 0where the vector v, with components v., 1= 1,2,5, Is the velocity, p Isthe pressure, EI sthe external force, 3, denotes differentiation with respect to the timet and 5. denotes differentiation with respect to the space variable x., 1= 1,2,3. Vector quantities are underlined and the summation convention applies to the Index j. When a solution of these equations Is required In some bounded domain Q, with boundary f2, use Is generally made of an appropriate difference approximation. A new class of such approximations was Introduced and utilized In 1 and 2; It Is the purpose of this paper to establish the convergence of the solutions of such approximations to the solutions of equations (1) and (2) In Q. To our knowledge, the first convergence proof for a difference approximation to the complete system (l) and (2) was given by Krzhlvltskl and Ladyzhenskaya (see e.g. 3)- Their proof gives both more and less than the numerical analyst requires.
(Typographical errors above are due to OCR software and don't occur in the book.)

About the Publisher

Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.

Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the aged text. Read books online for free at www.forgottenbooks.org

Détails de l'édition

• Éditeur: Palala Press
• Date d'édition: 2015
• Langue: anglais
• ISBN 10: 1342067118
• ISBN 13: 9781342067111
• Reliure: Relié
• Nombre de pages: 38
• Coordonnées du fabricant: non disponible