Operator splitting for two-dimensional incompressible fluid equations
Numerical Analysis
2015-03-18 v1 Analysis of PDEs
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.
Cite
@article{arxiv.1102.1094,
title = {Operator splitting for two-dimensional incompressible fluid equations},
author = {Helge Holden and Kenneth H. Karlsen and Trygve K. Karper},
journal= {arXiv preprint arXiv:1102.1094},
year = {2015}
}
Comments
27 pages, 2 figure, submitted for publication