Improving stability of stabilized and multiscale formulations in flow simulations at small time steps

Handle URI:
http://hdl.handle.net/10754/561440
Title:
Improving stability of stabilized and multiscale formulations in flow simulations at small time steps
Authors:
Hsu, Ming-Chen; Bazilevs, Yuri; Calo, Victor M. ( 0000-0002-1805-4045 ) ; Tezduyar, Tayfun E.; Hughes, Thomas Jr R
Abstract:
The objective of this paper is to show that use of the element-vector-based definition of stabilization parameters, introduced in [T.E. Tezduyar, Computation of moving boundaries and interfaces and stabilization parameters, Int. J. Numer. Methods Fluids 43 (2003) 555-575; T.E. Tezduyar, Y. Osawa, Finite element stabilization parameters computed from element matrices and vectors, Comput. Methods Appl. Mech. Engrg. 190 (2000) 411-430], circumvents the well-known instability associated with conventional stabilized formulations at small time steps. We describe formulations for linear advection-diffusion and incompressible Navier-Stokes equations and test them on three benchmark problems: advection of an L-shaped discontinuity, laminar flow in a square domain at low Reynolds number, and turbulent channel flow at friction-velocity Reynolds number of 395. © 2009 Elsevier B.V. All rights reserved.
KAUST Department:
Environmental Science and Engineering Program; Applied Mathematics and Computational Science Program; Physical Sciences and Engineering (PSE) Division; Numerical Porous Media SRI Center (NumPor)
Publisher:
Elsevier
Journal:
Computer Methods in Applied Mechanics and Engineering
Issue Date:
Feb-2010
DOI:
10.1016/j.cma.2009.06.019
Type:
Article
ISSN:
00457825
Sponsors:
We wish to thank the Texas Advanced Computing Center (TACC) at the University of Texas at Austin for providing HPC resources that have contributed to the research results reported within this paper. Support of Teragrid Grant No. MCAD7S032 is also gratefully acknowledged.
Appears in Collections:
Articles; Environmental Science and Engineering Program; Applied Mathematics and Computational Science Program; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorHsu, Ming-Chenen
dc.contributor.authorBazilevs, Yurien
dc.contributor.authorCalo, Victor M.en
dc.contributor.authorTezduyar, Tayfun E.en
dc.contributor.authorHughes, Thomas Jr Ren
dc.date.accessioned2015-08-02T09:11:22Zen
dc.date.available2015-08-02T09:11:22Zen
dc.date.issued2010-02en
dc.identifier.issn00457825en
dc.identifier.doi10.1016/j.cma.2009.06.019en
dc.identifier.urihttp://hdl.handle.net/10754/561440en
dc.description.abstractThe objective of this paper is to show that use of the element-vector-based definition of stabilization parameters, introduced in [T.E. Tezduyar, Computation of moving boundaries and interfaces and stabilization parameters, Int. J. Numer. Methods Fluids 43 (2003) 555-575; T.E. Tezduyar, Y. Osawa, Finite element stabilization parameters computed from element matrices and vectors, Comput. Methods Appl. Mech. Engrg. 190 (2000) 411-430], circumvents the well-known instability associated with conventional stabilized formulations at small time steps. We describe formulations for linear advection-diffusion and incompressible Navier-Stokes equations and test them on three benchmark problems: advection of an L-shaped discontinuity, laminar flow in a square domain at low Reynolds number, and turbulent channel flow at friction-velocity Reynolds number of 395. © 2009 Elsevier B.V. All rights reserved.en
dc.description.sponsorshipWe wish to thank the Texas Advanced Computing Center (TACC) at the University of Texas at Austin for providing HPC resources that have contributed to the research results reported within this paper. Support of Teragrid Grant No. MCAD7S032 is also gratefully acknowledged.en
dc.publisherElsevieren
dc.subjectAdvection-diffusion equationen
dc.subjectElement-vector-based τen
dc.subjectIncompressible Navier-Stokes equationsen
dc.subjectStabilized methodsen
dc.subjectTurbulence modelingen
dc.subjectTurbulent channel flowen
dc.subjectVariational multiscale methodsen
dc.titleImproving stability of stabilized and multiscale formulations in flow simulations at small time stepsen
dc.typeArticleen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)en
dc.identifier.journalComputer Methods in Applied Mechanics and Engineeringen
dc.contributor.institutionDepartment of Structural Engineering, University of California, San Diego, 9500 Gilman Drive, Mail Code 0085, La Jolla, CA 92093, United Statesen
dc.contributor.institutionMechanical Engineering, Rice University - MS 321, 6100 Main Street, Houston, TX 77005, United Statesen
dc.contributor.institutionInstitute for Computational Engineering and Sciences, The University of Texas at Austin, 201 East 24th Street, 1 University Stn. C0200, Austin, TX 78712, United Statesen
kaust.authorCalo, Victor M.en
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