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 | ||||
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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. | ||||
| Classification Code: | AMS: Primary 35Q10, 76010; Secondary 58D10, 47D05 | ||||
| Record Number: | CaltechAUTHORS:20100824-133940964 | ||||
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20100824-133940964 | ||||
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| 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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