Title

New results on several projection methods

Authors

Authors

J. L. Guermond;J. Shen

Comments

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Abbreviated Journal Title

Comptes Rendus Acad. Sci. Ser. I-Math.

Keywords

NAVIER-STOKES EQUATIONS; SCHEMES; Mathematics

Abstract

We revisit fractional step projection methods for solving the Navier-Stokes equations. We study a variant of pressure-correction methods and introduce a new class of velocity-correction methods. We prove stability and O(deltat(2)) convergence in the L-2 norm of the velocity for both variants. We also prove O(deltat(3/2)) convergence in the H-1 norm of the velocity and the L-2 norm of the pressure. We show that the new family of projection methods can be related to a set of methods introduced in [4,3]. As a result, this Note provides the first rigorous proof of stability and convergence of the methods introduced in [4,3]. (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

Journal Title

Comptes Rendus De L Academie Des Sciences Serie I-Mathematique

Volume

333

Issue/Number

12

Publication Date

1-1-2001

Document Type

Article

Language

French

First Page

1111

Last Page

1116

WOS Identifier

WOS:000173942300010

ISSN

0764-4442

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