Finite element analysis of incompressible viscous flows around single and multielement aerofoils in high Reynolds number region
Abstract
Incompressible viscous flows around aerofoils are solved by a finite element method. This finite element method makes use of the penalty function method as well as the streamlineupwind PetrovGalerkin (SUPG) method and, therefore, it can be applied to the computations of the flow at a high Reynolds number. In unsteady formulations, pressure distributions are evaluated by solving Poisson's equation with regard to pressure, rather than by direct application of the penalty function equation, since the latter tends to introduce violent oscillations in the solution. Though the present computation assumes that the flows are laminar, good agreement is obtained with experimentally measured results, particularly when the flow shows laminar separation. It is shown that this method can be applied to problems of flow around complicated geometries, and it is stated that the extension of the method to threedimensional problems is promising.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 December 1988
 Bibcode:
 1988STIN...8928765S
 Keywords:

 Airfoils;
 Finite Element Method;
 Fluid Dynamics;
 Galerkin Method;
 Incompressible Flow;
 Laminar Flow;
 Two Dimensional Flow;
 Viscous Flow;
 NavierStokes Equation;
 Penalty Function;
 Reynolds Number;
 Fluid Mechanics and Heat Transfer