Topical Problems of Fluid Mechanics


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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
A Parallel Finite Element Solver for Unsteady Incompressible Navier-Stokes Equations

Šístek J.

Abstract:
A parallel solver for unsteady incompressible Navier-Stokes equations is presented. It is based on the finite element method combined with the pressure-correction approach. Semi-implicit treatment of the convective term is considered, leading to five systems of linear algebraic equations to be solved in each time step. Krylov subspace iterative methods are employed for the solution of these systems with a particular emphasis on efficient parallel preconditioners. A simulation of a benchmark problem of incompressible viscous ow around a sphere at Reynolds number 300 is presented and compared with literature.

Keywords:
Pressure-correction, parallel algorithms, finite element method, flow around a sphere
Fulltext: PDF
DOI: No Doi
In Proceedings Topical Problems of Fluid Mechanics 2015, Prague, 2015 Edited by David Šimurda and Tomáš Bodnár, pp. 193-198
ISBN 978-80-87012-55-0 (Print)
ISSN 2336-5781 (Print)
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