Finite element solution of 3-D compressible Navier-Stokes equations by a velocity-vorticity method
Abstract
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, 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 flow problems.
- Publication:
-
AIAA, Aerospace Sciences Meeting
- Pub Date:
- January 1990
- Bibcode:
- 1990aiaa.meetQS...G
- Keywords:
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- Compressible Flow;
- Computational Fluid Dynamics;
- Finite Element Method;
- Navier-Stokes Equation;
- Three Dimensional Flow;
- Flow Velocity;
- Galerkin Method;
- Incompressible Flow;
- Laminar Flow;
- Two Dimensional Flow;
- Vortices;
- Fluid Mechanics and Heat Transfer