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

Ming-Chen Hsu, Yuri Bazilevs, Victor M. Calo, Tayfun E. Tezduyar, Thomas Jr R Hughes

Research output: Contribution to journalArticlepeer-review

190 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)828-840
Number of pages13
JournalComputer Methods in Applied Mechanics and Engineering
Volume199
Issue number13-16
DOIs
StatePublished - Feb 2010

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: 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.

ASJC Scopus subject areas

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

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