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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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.
|Additional Information:||© American Mathematical Society 1974. Communicated by Murray Protter, July 17, 1973. Partially supported by NSF grant GP-15735.|
|Subject Keywords:||Navier-Stokes equations, product formulas, turbulence, boundary layer.|
|Classification Code:||AMS: Primary 35Q10, 76010; Secondary 58D10, 47D05|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||08 Sep 2010 16:30|
|Last Modified:||26 Dec 2012 12:21|
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