Higher order penalty-Galerkin finite element approach to laminar natural convection in a square cavity

Journal Article · Fri Feb 09 04:00:00 EST 1996 · Numerical Heat Transfer. Part A, Applications

DOI:https://doi.org/10.1080/10407789608913787· OSTI ID:207736

Syrjaelae, S ^[1]

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1. Tampere Univ. of Technology (Finland)

The performance of a penalty-Galerkin finite element method with quartic triangular elements when applied to laminar natural convection in a square cavity with differentially heated vertical walls and adiabatic horizontal walls is studied. The numerical calculations were carried out for Rayleigh numbers of 10{sup 4}, 10{sup 5}, 10{sup 6}, and 10{sup 7} on several successively refined meshes. The computational results are presented in terms of velocity components, temperature, stream function, and Nusselt number. The numerical procedure adopted in the present study yields consistent performance with respect to mesh refinement, and comparisons with previously published results indicate fairly close agreements.

• OSTI ID: 207736
• Journal Information: Numerical Heat Transfer. Part A, Applications, Journal Name: Numerical Heat Transfer. Part A, Applications Journal Issue: 2 Vol. 29; ISSN 1040-7782; ISSN NHAAES
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
CALCULATION METHODS
CAVITIES
COMPUTER CALCULATIONS
LAMINAR FLOW
MESH GENERATION
NATURAL CONVECTION