A splitting technique of higher order for the Navier-Stokes equations

Authors:
Jörg Frochte;Wilhelm Heinrichs
Affiliations:
Universität Duisburg-Essen, Ingenieurmathematik, Universitätsstr. 3, D-45117 Essen, Germany;Universität Duisburg-Essen, Ingenieurmathematik, Universitätsstr. 3, D-45117 Essen, Germany
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

Citing 5
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Abstract

This article presents a splitting technique for solving the time dependent incompressible Navier-Stokes equations. Using nested finite element spaces which can be interpreted as a postprocessing step the splitting method is of more than second order accuracy in time. The integration of adaptive methods in space and time in the splitting are discussed. In this algorithm, a gradient recovery technique is used to compute boundary conditions for the pressure and to achieve a higher convergence order for the gradient at different points of the algorithm. Results on the 'Flow around a cylinder's- and the 'Driven Cavity's-problem are presented.