The numerical solution of the NavierStokes equations for incompressible flows and the applicability of the stream function formulation of the NavierStokes equations
Abstract
This effort was focused on basic work on the numerical solution of the NavierStokes equations for incompressible flows. A basic problem in this theory is the compatibility of the finite element space used to approximate the pressure field. The investigator was able to devise a simple test of the finite element space. An inspection of the solution to this linear system immediately reveals whether the proposed scheme is stable. A second area of activity was an investigation of the applicability of the stream function formulation of the NavierStokes equations. This effort resulted in a number of publications in the scientific literature.
 Publication:

Final Report
 Pub Date:
 December 1985
 Bibcode:
 1985cmu..rept.....N
 Keywords:

 Finite Element Method;
 Incompressible Flow;
 NavierStokes Equation;
 Problem Solving;
 Formulations;
 Functions (Mathematics);
 Linear Systems;
 Numerical Stability;
 Fluid Mechanics and Heat Transfer