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arXiv · 1102.1094

Operator splitting for two-dimensional incompressible fluid equations

Helge Holden·Kenneth H. Karlsen·Trygve K. Karper
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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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Helge Holden, Kenneth H. Karlsen, Trygve K. Karper. 2011-02-05. Operator splitting for two-dimensional incompressible fluid equations. https://arxiv.org/abs/1102.1094

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