Exploratory study on the application of an existing finiteelement NavierStokes code to compute potential flows
Abstract
The ease with which an existing time dependent code for the incompressible NavierStokes equations in primitive variables is used to compute potential flows and the utility of this approach via an example calculation are examined. As a numerical example, the potential flow over a cylinder is considered. The calculations are performed on a single mesh with various piecewise polynomial approximation employed for the dependent variables. A NavierStokes finite element code is used in a rather straightforward manner to obtain numerical solutions to potential flow problems. Whereas the Laplace's equation approach generates a solution for the velocity potential only, the mixed formulation obtains both the velocity and potential fields. Better potential flow solutions are obtained from the simpler and less expensive variational method (LF) than the mixed method and that elements which perform well for viscous flows can be very poor for inviscid flows.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 July 1982
 Bibcode:
 1982STIN...8328388L
 Keywords:

 Coding;
 Cylindrical Bodies;
 Finite Element Method;
 Flow Velocity;
 NavierStokes Equation;
 Potential Flow;
 Viscous Flow;
 Inviscid Flow;
 Laplace Equation;
 Numerical Analysis;
 Polynomials;
 Potential Fields;
 Stress Tensors;
 Time Dependence;
 Fluid Mechanics and Heat Transfer