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Published February 1974 | Published
Journal Article Open

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

Marsden, J.

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.

Additional Information

© American Mathematical Society 1974. Communicated by Murray Protter, July 17, 1973. Partially supported by NSF grant GP-15735.

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August 19, 2023
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October 20, 2023