On stabilized formulations for incompressible navier-stokes equations based on multi-scale decomposition formalism

D. Z. Turner, K. B. Nakshatrala, Keith Hjelmstad

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Abstract

In this paper, we present a new stabilized mixed formulation for incompressible Navier-Stokes equations under which the equal-order interpolation for velocity and pressure is stable. The derivation is based on the variational multiscale formalism and consistent linearization. We compare the proposed formulation with another variant of stabilized formulation, which has been recently proposed and is based on the variational multiscale formalism. In particular, we show that the proposed formulation has better accuracy, and converges in fewer iterations for several representative test problems. We illustrate the robustness of the proposed formulation on a test problem of Reynolds number up to 5,000.

Original languageEnglish (US)
Pages (from-to)216-232
Number of pages17
JournalMechanics of Advanced Materials and Structures
Volume19
Issue number1-3
DOIs
Publication statusPublished - Jan 1 2012

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Keywords

  • incompressibility constraint
  • multiscale formulation
  • Navier-Stokes equations
  • stabilization parameter
  • stabilized finite elements

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Civil and Structural Engineering
  • Materials Science(all)
  • Mathematics(all)

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