New results on several projection methods

    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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