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dc.contributor.authorŠístek, Jakuben
dc.contributor.authorCirak, Fehmien
dc.date.accessioned2015-09-04T09:59:38Z
dc.date.available2015-09-04T09:59:38Z
dc.date.issued2015-09-03en
dc.identifier.citationŠístek & Cirak. Computers and Fluids (2015) Vol. 122, pp. 165-183. doi: 10.1016/j.compfluid.2015.08.026en
dc.identifier.issn0045-7930
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/250494
dc.description.abstractWe 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 × 10^6 hexahedral finite elements leading to around 3.3 × 10^9 unknowns. For the scalability runs the maximum core count is around 65.5 × 10^3. We find that almost perfect scaling can be achieved with a suitable Krylov subspace iterative method, like conjugate gradients or GMRES, and a block Jacobi preconditioner with incomplete LU factorisation as a subdomain solver. In addition to parallel performance data, we provide new highly-resolved computations of flow around a rotating insect wing and examine its vortex structure and aerodynamic loading.
dc.description.sponsorshipThis research was supported by the Engineering and Physical Sciences Research Council (EPSRC) through grant # EP/G008531/1. Additional support was provided by the Czech Science Foundation through grant 14-02067S, and by the Czech Academy of Sciences through RVO:67985840. The presented computations were performed on HECToR at the Edinburgh Parallel Computing Centre through PRACE-2IP (FP7 RI-283493).
dc.languageEnglishen
dc.language.isoenen
dc.publisherElsevier
dc.rightsAttribution 2.0 UK: England & Wales*
dc.rights.urihttp://creativecommons.org/licenses/by/2.0/uk/*
dc.subjectNavier-Stokesen
dc.subjectincompressible flowen
dc.subjectKrylov subspace methodsen
dc.subjectpreconditioningen
dc.subjectPETScen
dc.subjectrotating insect wingen
dc.titleParallel iterative solution of the incompressible Navier–Stokes equations with application to rotating wingsen
dc.typeArticle
dc.description.versionThis is the final version of the article. It first appeared from Elsevier via http://dx.doi.org/10.1016/j.compfluid.2015.08.026en
prism.endingPage183
prism.publicationDate2015en
prism.publicationNameComputers and Fluidsen
prism.startingPage165
prism.volume122en
dc.rioxxterms.funderEPSRC
dc.rioxxterms.projectidEP/G008531/1
rioxxterms.versionofrecord10.1016/j.compfluid.2015.08.026en
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2015-09-03en
dc.contributor.orcidCirak, Fehmi [0000-0002-9274-6904]
dc.identifier.eissn1879-0747
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idEPSRC (EP/G008531/1)


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Attribution 2.0 UK: England & Wales
Except where otherwise noted, this item's licence is described as Attribution 2.0 UK: England & Wales