Finiteelement solution procedures for solving the incompressible, NavierStokes equations using equal order variable interpolation
Abstract
The conventional finiteelement formulation of the equations of motion (written in pressurevelocity variables) requires that the order of interpolation for pressure be one less than that used for the velocity components. This constraint is inconvenient and can be argued to be physically inconsistent when inertial effects are dominant. The origins of the constraint are discussed and three new finiteelement formulations are advanced that permit equal order representation of pressure and velocity. Of these, the velocity correction scheme, similar to that commonly used in finitedifference procedures, offers superior performance for the examples examined in this paper.
 Publication:

Numerical Heat Transfer
 Pub Date:
 December 1978
 Bibcode:
 1978NumHT...1..433S
 Keywords:

 Computer Programs;
 Finite Element Method;
 Incompressible Flow;
 Interpolation;
 NavierStokes Equation;
 Correction;
 Couette Flow;
 Equations Of Motion;
 Free Convection;
 Pressure Distribution;
 Steady Flow;
 Stream Functions (Fluids);
 Velocity Distribution;
 Viscous Flow;
 Fluid Mechanics and Heat Transfer