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Parallel iterative solution of the incompressible Navier-Stokes equations with application to rotating wings
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SYSNO ASEP 0448127 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Parallel iterative solution of the incompressible Navier-Stokes equations with application to rotating wings Author(s) Šístek, Jakub (MU-W) RID, ORCID, SAI
Cirak, F. (GB)Source Title Computers & Fluids. - : Elsevier - ISSN 0045-7930
Roč. 122, 20 November (2015), s. 165-183Number of pages 19 s. Language eng - English Country GB - United Kingdom Keywords Navier-Stokes ; incompressible flow ; Krylov subspace methods Subject RIV BA - General Mathematics R&D Projects GA14-02067S GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 UT WOS 000363828200013 EID SCOPUS 84942244914 DOI 10.1016/j.compfluid.2015.08.026 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2016
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