Adaptive Two-Step Peer Methods for Incompressible Navier–Stokes Equations

B. Gottermeier () and J. Lang ()
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B. Gottermeier: Technische Universität Darmstadt, Department of Mathematics
J. Lang: Technische Universität Darmstadt, Department of Mathematics

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 387-395 from Springer

Abstract: Abstract The paper presents a numerical study of two-step peer methods up to order six, applied to the non-stationary incompressible Navier–Stokes equations. These linearly implicit methods show good stability properties, but the main advantage over one-step methods lies in the fact that even for PDEs no order reduction is observed. To investigate whether the higher order of convergence of the two-step peer methods equipped with variable time steps pays off in practically relevant CFD computations, we consider typical benchmark problems. Higher accuracy and better efficiency of the two-step peer methods compared to classical third-order one-step methods of Rosenbrock-type can be observed.

Keywords: Computational Fluid Dynamics; Stokes Equation; Global Error; Order Reduction; Classical Order (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_41

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DOI: 10.1007/978-3-642-11795-4_41

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