Preprint 2011-003
Operator splitting for two-dimensional incompressible fluid equations
Helge Holden, Kenneth H. Karlsen, and Trygve K. Karper
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.