Topical Problems of Fluid Mechanics


Institute of Thermomechanics AS CR, v.v.i.	CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics	MIO Université du Sud Toulon Var - AMU - CNRS - IRD	Czech Pilot centre ERCOFTAC

On Finite Element Approximation of Incompressible Flow Problems: Comparison of Pressure Correction Methods and Coupled Approach
K. Vacek, P. Sváček
Abstract:
The article focuses on comparison of discretizations of the Navier-Stokes equations using the nite element method. Several choices of nite element spaces are discussed. First, the conforming spaces (TH, SV) are used. Second, the nonconforming equal order choice of P1/P1 elements is made. For the latter case the discrete equations are solved by a pressure correction scheme for the Taylor-Hood and Scott-Vogelius elements, the arising system is solved by a direct solver. The numerical results are compared to experimental and reference data. Methods are applied for the flow over the backward-facing step and for the flow around the cylinder.
Keywords:
finite element method, Taylor-Hood element, Scott-Vogelius element, pressure-correction scheme

Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2022.023

In Proceedings Topical Problems of Fluid Mechanics 2022, Prague, 2022, Edited by David Šimurda and Tomáš Bodnár , pp. 168-180 ISBN 978-80-87012-77-2 (Print) ISSN 2336-5781 (Print)