Operator splitting for two-dimensional incompressible fluid equations

2011/02/05 by Helge Holden, Kenneth H. Karlsen, Holden, Helge +3
Economics, Econometrics and Finance · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Numerical Analysis (math.NA) #Primary: 76U05 #Secondary: 65M12 #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.1102.1094

openalex publication_date 2011/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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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