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

dc.contributor.authorHsu, Ming-Chen
dc.contributor.authorBazilevs, Yuri
dc.contributor.authorCalo, Victor M.
dc.contributor.authorTezduyar, Tayfun E.
dc.contributor.authorHughes, Thomas Jr R
dc.date.accessioned2015-08-02T09:11:22Z
dc.date.available2015-08-02T09:11:22Z
dc.date.issued2010-02
dc.identifier.citationHsu, M.-C., Bazilevs, Y., Calo, V. M., Tezduyar, T. E., & Hughes, T. J. R. (2010). Improving stability of stabilized and multiscale formulations in flow simulations at small time steps. Computer Methods in Applied Mechanics and Engineering, 199(13-16), 828–840. doi:10.1016/j.cma.2009.06.019
dc.identifier.issn00457825
dc.identifier.doi10.1016/j.cma.2009.06.019
dc.identifier.urihttp://hdl.handle.net/10754/561440
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.
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.
dc.publisherElsevier BV
dc.subjectAdvection-diffusion equation
dc.subjectElement-vector-based τ
dc.subjectIncompressible Navier-Stokes equations
dc.subjectStabilized methods
dc.subjectTurbulence modeling
dc.subjectTurbulent channel flow
dc.subjectVariational multiscale methods
dc.titleImproving stability of stabilized and multiscale formulations in flow simulations at small time steps
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentEnvironmental Science and Engineering Program
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalComputer Methods in Applied Mechanics and Engineering
dc.contributor.institutionDepartment of Structural Engineering, University of California, San Diego, 9500 Gilman Drive, Mail Code 0085, La Jolla, CA 92093, United States
dc.contributor.institutionMechanical Engineering, Rice University - MS 321, 6100 Main Street, Houston, TX 77005, United States
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 States
kaust.personCalo, Victor M.


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