A comparison of different finite elements and formulations for the solution of the steady viscous flow
Abstract
A comparison is made of three different elements for the solution of an incompressible viscous flow problem for which an analytical solution is known. It is shown that elements using a linear expansion for pressure are less accurate than elements using a quadratic expansion for pressure. The element quadratic in pressure and Hermitian cubic in velocity yields the shear stress and accurate pressure on curved walls making it attractive for the fluidsolid interaction.
 Publication:

Numerical Methods in Laminar and Turbulent Flow
 Pub Date:
 1978
 Bibcode:
 1978nmlt.proc..133M
 Keywords:

 Corner Flow;
 Finite Element Method;
 Steady Flow;
 Viscous Flow;
 Angular Distribution;
 Flow Velocity;
 Interpolation;
 Matrices (Mathematics);
 NavierStokes Equation;
 Fluid Mechanics and Heat Transfer