Operator splitting for two-dimensional incompressible fluid equations
arXiv:1102.1094
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.
27 pages, 2 figure, submitted for publication