Finite element solution of 3D compressible NavierStokes equations by a velocityvorticity method
Abstract
This paper presents an alternative formulation to the primitive variable form of the NavierStokes equations. The approach is based on the use of the velocity and vorticity variables as a logical extension of the stream functionvorticity method, quite effective for twodimensional flows. Second order equations are obtained for the variables and discretization is through a weakGalerkin finite element method, followed by Newton linearization. The velocity and vorticity components are solved simultaneously by a direct solver. The scheme is demonstrated for twodimensional and threedimensional incompressible and subsonic internal flow problems.
 Publication:

AIAA, Aerospace Sciences Meeting
 Pub Date:
 January 1990
 Bibcode:
 1990aiaa.meetQS...G
 Keywords:

 Compressible Flow;
 Computational Fluid Dynamics;
 Finite Element Method;
 NavierStokes Equation;
 Three Dimensional Flow;
 Flow Velocity;
 Galerkin Method;
 Incompressible Flow;
 Laminar Flow;
 Two Dimensional Flow;
 Vortices;
 Fluid Mechanics and Heat Transfer