Finite element solution of the 3D compressible Navier-Stokes equations by a velocity-vorticity method

Journal Article · Thu Jul 01 04:00:00 EDT 1993 · Journal of Computational Physics

DOI:https://doi.org/10.1006/jcph.1993.1134· OSTI ID:441384

Guevremont, G; Habashi, W G; Kotiuga, P L ^[1]; Hafez, M M ^[2]

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1. Concordia Univ., Montreal (Canada)
2. Univ. of California, Davis, CA (United States)

This paper presents an alternative formulation to the primitive variable form of the Navier-Stokes equations. The approach is based on the use of the velocity and vorticity variables as a logical extension of the stream function-vorticity method which is quite effective for two-dimensional flows. Second-order equations are obtained for the variables and discretization is through a weak-Galerkin finite element method, followed by Newton linearization. The velocity and vorticity components are solved simultaneously by a direct solver. The scheme is demonstrated for two-dimensional and three-dimensional incompressible and subsonic internal enclosed flow problems. 31 refs., 16 figs., 1 tab.

• OSTI ID: 441384
• Journal Information: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 1 Vol. 107; ISSN JCTPAH; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
99 GENERAL AND MISCELLANEOUS
COMPRESSIBLE FLOW
COMPUTERIZED SIMULATION
FINITE ELEMENT METHOD
GALERKIN-PETROV METHOD
ITERATIVE METHODS
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
THREE-DIMENSIONAL CALCULATIONS
VORTICES