Operator splitting for two-dimensional incompressible fluid equations

Helge Holden, Kenneth H. Karlsen, Trygve K. Karper

Type: Article

Publication Date: 2012-06-27

Citations: 5

DOI: https://doi.org/10.1090/s0025-5718-2012-02626-3

Abstract

We analyze splitting algorithms for a class of two-dimensional fluid equations, which includes the incompressible NavierâStokes 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.

Locations

Mathematics of Computation - View - PDF
arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF

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