Velocity-pressure integrated versus penalty finite element methods for high-Reynolds-number flows

S. W. Kim, Rand Decker

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Velocity-pressure integrated and consistent penalty finite element computations of high-Reynolds-number laminar flows are presented. In both methods the pressure has been interpolated using linear shape functions for a triangular element which is contained inside the biquadratic flow element. It has been shown previously that the pressure interpolation method, when used in conjunction with the velocity-pressure integrated method, yields accurate computational results for high-Reynolds-number flows. It is shown in this paper that use of the same pressure interpolation method in the consistent penalty finite element method yields computational results which are comparable to those of the velocity-pressure integrated method for both the velocity and the pressure fields. Accuracy of the two finite element methods has been demonstrated by comparing the computational results with available experimental data and/or fine grid finite difference computational results.

Original languageEnglish (US)
Pages (from-to)43-57
Number of pages15
JournalInternational Journal for Numerical Methods in Fluids
Volume9
Issue number1
StatePublished - Jan 1989
Externally publishedYes

Fingerprint

Penalty Method
high Reynolds number
penalties
Reynolds number
finite element method
Finite Element Method
Finite element method
Computational Results
Interpolation Method
interpolation
Interpolation
shape functions
Triangular Element
laminar flow
pressure distribution
Shape Function
Laminar Flow
Laminar flow
Linear Function
Penalty

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Computer Science Applications
  • Computational Mechanics
  • Mechanics of Materials
  • Safety, Risk, Reliability and Quality
  • Applied Mathematics
  • Condensed Matter Physics

Cite this

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AB - Velocity-pressure integrated and consistent penalty finite element computations of high-Reynolds-number laminar flows are presented. In both methods the pressure has been interpolated using linear shape functions for a triangular element which is contained inside the biquadratic flow element. It has been shown previously that the pressure interpolation method, when used in conjunction with the velocity-pressure integrated method, yields accurate computational results for high-Reynolds-number flows. It is shown in this paper that use of the same pressure interpolation method in the consistent penalty finite element method yields computational results which are comparable to those of the velocity-pressure integrated method for both the velocity and the pressure fields. Accuracy of the two finite element methods has been demonstrated by comparing the computational results with available experimental data and/or fine grid finite difference computational results.

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