Operator splitting for two-dimensional incompressible fluid equations

Holden, Helge; Karlsen, Kenneth; Karper, Trygve

doi:10.1090/S0025-5718-2012-02626-3

Operator splitting for two-dimensional incompressible fluid equations
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by Helge Holden, Kenneth H. Karlsen and Trygve Karper PDF

Math. Comp. 82 (2013), 719-748 Request permission

Abstract:

We analyze splitting algorithms for a class of two-dimensional fluid equations, which includes the incompressible Navier–Stokes equations and the surface quasi-geostrophic equation. Our main result is that the Godunov and Strang splitting methods converge with the expected rates provided the initial data are sufficiently regular.

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