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

M. C. Hsu, Y. Bazilevs, V. M. Calo, Tayfun E. Tezduyar, T. J.R. Hughes

Research output: Contribution to journalArticle

154 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)828-840
Number of pages13
JournalComputer Methods in Applied Mechanics and Engineering
Volume199
Issue number13-16
DOIs
Publication statusPublished - 2010 Feb 1
Externally publishedYes

Fingerprint

Flow simulation
Stabilization
stabilization
Advection
advection
formulations
Reynolds number
simulation
low Reynolds number
channel flow
Channel flow
laminar flow
Laminar flow
Navier-Stokes equation
Navier Stokes equations
discontinuity
friction
Friction
Fluids
fluids

Keywords

  • Advection-diffusion equation
  • Element-vector-based τ
  • Incompressible Navier-Stokes equations
  • Stabilized methods
  • Turbulence modeling
  • Turbulent channel flow
  • Variational multiscale methods

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

Cite this

Improving stability of stabilized and multiscale formulations in flow simulations at small time steps. / Hsu, M. C.; Bazilevs, Y.; Calo, V. M.; Tezduyar, Tayfun E.; Hughes, T. J.R.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 199, No. 13-16, 01.02.2010, p. 828-840.

Research output: Contribution to journalArticle

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AU - Calo, V. M.

AU - Tezduyar, Tayfun E.

AU - Hughes, T. J.R.

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