On first-order formulations of the least-squares finite element method for incompressible flows

Xu Ding, Tate T.H. Tsang

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

To reduce the element continuity requirement for the least-squares finite element method (LSFEM), it is customary to rewrite the Navier-Stokes equations as first-order partial differential equations. In this work, numerical experiments for three-dimensional incompressible flows are carried out by using the LSFEM based on three types of first-order formulations, namely the velocity-vorticity-pressure (VVP) formulation, the velocity-stress-pressure (VSP) formulation and the velocity-velocity gradient-pressure (VVGP) formulation. In addition, two modifications for each formulation are considered. Numerical results indicate that proper problem formulation can significantly reduce computing time and improve the accuracy of numerical solutions.

Original languageEnglish
Pages (from-to)183-197
Number of pages15
JournalInternational Journal of Computational Fluid Dynamics
Volume17
Issue number3
DOIs
StatePublished - Jun 2003

Bibliographical note

Funding Information:
This work is supported by the U.S. Environmental Protection Agency.

Keywords

  • Incompressible flows
  • Least-squares finite element method
  • Pressure formulations
  • Vorticity

ASJC Scopus subject areas

  • Computational Mechanics
  • Aerospace Engineering
  • Condensed Matter Physics
  • Energy Engineering and Power Technology
  • Mechanics of Materials
  • Mechanical Engineering

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