Error estimates for an operator-splitting method for incompressible flows

Authors:
J. Blasco;R. Codina
Affiliations:
Departament de Matemàtica Aplicada I, ETSEIB, Universitat Politècnica de Catalunya, Campus Sud, Edifici H, Avgda, Diagonal 647, 08028 Barcelona, Spain;Departament de Resistència de Materials i Estructures a l'Enginyeria, ETSECCPB, Universitat Politècnica de Catalunya, Campus Nord, Edifici C1, c/Jordi Girona 1-3, 08034 Barcelona, Spain
Venue:
Applied Numerical Mathematics
Year:
2004

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Abstract

In this paper we provide an error analysis of a fractional-step method for the numerical solution of the incompressible Navier-Stokes equations. Under mild regularity assumptions on the continuous solution, we obtain first order error estimates in the time step size, both for the intermediate and the end-of-step velocities of the method; we also give some error estimates for the pressure solution.