A parallel finite element solver for unsteady incompressible Navier-Stokes equations

0441967 - MÚ 2016 RIV CZ eng C - Conference Paper (international conference)
Šístek, Jakub
A parallel finite element solver for unsteady incompressible Navier-Stokes equations.
Topical Problems of Fluid Mechanics 2015. Prague: Institute of Thermomechanics ASCR v. v. i., 2015 - (Šimurda, D.; Bodnár, T.), s. 193-198. ISBN 978-80-87012-55-0. ISSN 2336-5781.
[Topical Problems of Fluid Mechanics 2015. Praha (CZ), 11.02.2015-13.02.2015]
R&D Projects: GA ČR GA14-02067S
Institutional support: RVO:67985840
Keywords : pressure-correction * parallel algorithms * flow around a sphere
Subject RIV: BA - General Mathematics
http://www.it.cas.cz/fm2015/im/admin/showfile/data/my/Papers/2015/26-TPFM2015.pdf

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 flow around a sphere at Reynolds number 300 is presented and compared with literature.
Permanent Link: http://hdl.handle.net/11104/0244887