Operator splitting for two-dimensional incompressible fluid equations

Details Operator splitting for two-dimensional incompressible fluid equations Operator splitting for two-dimensional incompressible fluid equations

2011-02-05

arxiv.org/abs/1102.1094v1

Mathematics

Numerical Analysis

27 pages, 2 figure, submitted for publication

Scientific paper

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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