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A formula for the solution of the Navier-Stokes equation based on a method of Chorin

Marsden, J. (1974) A formula for the solution of the Navier-Stokes equation based on a method of Chorin. Bulletin of the American Mathematical Society, 80 (1). pp. 154-158. ISSN 0273-0979. http://resolver.caltech.edu/CaltechAUTHORS:20100824-133940964

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Abstract

Recently, A. Chorin has found a numerical scheme for solving the Navier-Stokes equations which has the pleasing feature of not breaking down at high Reynolds numbers R . The purpose of this announcement is to present a formula which is designed to establish the convergence of Chorin's time step iteration procedure, assuming that the relevant equations (heat equation and Euler's equations) are solved exactly at each step.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://www.cds.caltech.edu/~marsden/bib/1974/04-Ma1974/AuthorUNSPECIFIED
http://www.ams.org/journals/bull/1974-80-01/S0002-9904-1974-13398-7/home.htmlPublisherUNSPECIFIED
Additional Information:© American Mathematical Society 1974. Communicated by Murray Protter, July 17, 1973. Partially supported by NSF grant GP-15735.
Funders:
Funding AgencyGrant Number
NSFGP-15735
Subject Keywords:Navier-Stokes equations, product formulas, turbulence, boundary layer.
Classification Code:AMS: Primary 35Q10, 76010; Secondary 58D10, 47D05
Record Number:CaltechAUTHORS:20100824-133940964
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20100824-133940964
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:19643
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:08 Sep 2010 16:30
Last Modified:26 Dec 2012 12:21

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