Parallel iterative solution of the incompressible Navier-Stokes equations with application to rotating wings

0448127 - MÚ 2016 RIV GB eng J - Journal Article
Šístek, Jakub - Cirak, F.
Parallel iterative solution of the incompressible Navier-Stokes equations with application to rotating wings.
Computers & Fluids. Roč. 122, 20 November (2015), s. 165-183. ISSN 0045-7930. E-ISSN 1879-0747
R&D Projects: GA ČR GA14-02067S
Institutional support: RVO:67985840
Keywords : Navier-Stokes * incompressible flow * Krylov subspace methods
Subject RIV: BA - General Mathematics
Impact factor: 1.891, year: 2015
http://www.sciencedirect.com/science/article/pii/S0045793015003023

We discuss aspects of implementation and performance of parallel iterative solution techniques applied to low Reynolds number flows around fixed and moving rigid bodies. The incompressible Navier–Stokes equations are discretised with Taylor-Hood finite elements in combination with a semi-implicit pressure-correction method. The resulting sequence of convection–diffusion and Poisson equations are solved with preconditioned Krylov subspace methods. To achieve overall scalability we consider new auxiliary algorithms for mesh handling and assembly of the system matrices. We compute the flow around a translating plate and a rotating insect wing to establish the scaling properties of the developed solver. The largest meshes have up to 132 × 106 hexahedral finite elements leading to around 3.3 × 109 unknowns. For the scalability runs the maximum core count is around 65.5 × 103.
Permanent Link: http://hdl.handle.net/11104/0249850