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. https://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 | |||||||||
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Additional Information: | © American Mathematical Society 1974. Communicated by Murray Protter, July 17, 1973. Partially supported by NSF grant GP-15735. | |||||||||
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Subject Keywords: | Navier-Stokes equations, product formulas, turbulence, boundary layer. | |||||||||
Issue or Number: | 1 | |||||||||
Classification Code: | AMS: Primary 35Q10, 76010; Secondary 58D10, 47D05 | |||||||||
Record Number: | CaltechAUTHORS:20100824-133940964 | |||||||||
Persistent URL: | https://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: | 03 Oct 2019 01:59 |
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