Isogeometric variational multiscale large-eddy simulation of fully-developed turbulent flow over a wavy wall

Handle URI:
http://hdl.handle.net/10754/562301
Title:
Isogeometric variational multiscale large-eddy simulation of fully-developed turbulent flow over a wavy wall
Authors:
Chang, Kyungsik; Hughes, Thomas Jr R; Calo, Victor M. ( 0000-0002-1805-4045 )
Abstract:
We report on the isogeometric residual-based variational multiscale (VMS) large eddy simulation of a fully developed turbulent flow over a wavy wall. To assess the predictive capability of the VMS modeling framework, we compare its predictions against the results from direct numerical simulation (DNS) and large eddy simulation (LES) and, when available, against experimental measurements. We use C 1 quadratic B-spline basis functions to represent the smooth geometry of the sinusoidal lower wall and the solution variables. The Reynolds numbers of the flows considered are 6760 and 30,000 based on the bulk velocity and average channel height. The ratio of amplitude to wavelength (α/λ) of the sinusoidal wavy surface is set to 0.05. The computational domain is 2λ×1.05λ×λ in the streamwise, wall-normal and spanwise directions, respectively. For the Re=6760 case, mean averaged quantities, including velocity and pressure profiles, and the separation/reattachment points in the recirculation region, are compared with DNS and experimental data. The turbulent kinetic energy and Reynolds stress are in good agreement with benchmark data. Coherent structures over the wavy wall are observed in isosurfaces of the Q-criterion and show similar features to those previously reported in the literature. Comparable accuracy to DNS solutions is obtained with at least one order of magnitude fewer degrees of freedom. For the Re=30,000 case, good agreement was obtained for mean wall shear stress and velocity profiles compared with available LES results reported in the literature. © 2012 Elsevier Ltd.
KAUST Department:
Applied Mathematics and Computational Science Program; Earth Science and Engineering Program; Physical Sciences and Engineering (PSE) Division; Environmental Science and Engineering Program; Numerical Porous Media SRI Center (NumPor)
Publisher:
Elsevier BV
Journal:
Computers & Fluids
Issue Date:
Sep-2012
DOI:
10.1016/j.compfluid.2012.06.009
Type:
Article
ISSN:
00457930
Sponsors:
This research was supported by the WCU (World Class University) project through the National Research Foundation (R33-10150) and by the Mid-career Researcher Program, NRF Grant (2011-0027557), funded by the Korean Government (MEST). T.J.R. Hughes was partially supported by the Office of Naval Research under Contract No. N00014-08-0992, and SINTEF under Contract No. UTA10-000374.
Appears in Collections:
Articles; Environmental Science and Engineering Program; Applied Mathematics and Computational Science Program; Physical Sciences and Engineering (PSE) Division; Earth Science and Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorChang, Kyungsiken
dc.contributor.authorHughes, Thomas Jr Ren
dc.contributor.authorCalo, Victor M.en
dc.date.accessioned2015-08-03T10:00:01Zen
dc.date.available2015-08-03T10:00:01Zen
dc.date.issued2012-09en
dc.identifier.issn00457930en
dc.identifier.doi10.1016/j.compfluid.2012.06.009en
dc.identifier.urihttp://hdl.handle.net/10754/562301en
dc.description.abstractWe report on the isogeometric residual-based variational multiscale (VMS) large eddy simulation of a fully developed turbulent flow over a wavy wall. To assess the predictive capability of the VMS modeling framework, we compare its predictions against the results from direct numerical simulation (DNS) and large eddy simulation (LES) and, when available, against experimental measurements. We use C 1 quadratic B-spline basis functions to represent the smooth geometry of the sinusoidal lower wall and the solution variables. The Reynolds numbers of the flows considered are 6760 and 30,000 based on the bulk velocity and average channel height. The ratio of amplitude to wavelength (α/λ) of the sinusoidal wavy surface is set to 0.05. The computational domain is 2λ×1.05λ×λ in the streamwise, wall-normal and spanwise directions, respectively. For the Re=6760 case, mean averaged quantities, including velocity and pressure profiles, and the separation/reattachment points in the recirculation region, are compared with DNS and experimental data. The turbulent kinetic energy and Reynolds stress are in good agreement with benchmark data. Coherent structures over the wavy wall are observed in isosurfaces of the Q-criterion and show similar features to those previously reported in the literature. Comparable accuracy to DNS solutions is obtained with at least one order of magnitude fewer degrees of freedom. For the Re=30,000 case, good agreement was obtained for mean wall shear stress and velocity profiles compared with available LES results reported in the literature. © 2012 Elsevier Ltd.en
dc.description.sponsorshipThis research was supported by the WCU (World Class University) project through the National Research Foundation (R33-10150) and by the Mid-career Researcher Program, NRF Grant (2011-0027557), funded by the Korean Government (MEST). T.J.R. Hughes was partially supported by the Office of Naval Research under Contract No. N00014-08-0992, and SINTEF under Contract No. UTA10-000374.en
dc.publisherElsevier BVen
dc.subjectB-spline finite elementsen
dc.subjectIsogeometric analysisen
dc.subjectLarge eddy simulationen
dc.subjectVariational multiscale modelingen
dc.subjectWavy wallen
dc.titleIsogeometric variational multiscale large-eddy simulation of fully-developed turbulent flow over a wavy wallen
dc.typeArticleen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentEarth Science and Engineering Programen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)en
dc.identifier.journalComputers & Fluidsen
dc.contributor.institutionAeromechanical Engineering, Hanseo University, San 105, Taean, South Koreaen
dc.contributor.institutionInstitute for Computational Engineering and Sciences (ICES), The University of Texas at Austin, Austin, TX 78712, United Statesen
kaust.authorCalo, Victor M.en
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