Some aspects of finite element approximations of incompressible viscous flows
Abstract
Several topics are considered which arise in the finite element solution of the incompressible NavierStokes equations. Specifically, the question of choosing finite element velocity/pressure spaces is addressed, particularly from the viewpoint of achieving stable discretizations leading to convergent pressure approximations. Following this, the role of artificial viscosity in viscous flow calculations is studied, emphasizing recent work by several researchers for the anisotropic case. The last section treats the problem of solving the nonlinear systems of equations which arise from the discretization.
 Publication:

Computational Methods in Viscous Flows
 Pub Date:
 1984
 Bibcode:
 1984cmvf.book..173G
 Keywords:

 Finite Element Method;
 Incompressible Flow;
 NavierStokes Equation;
 Viscous Flow;
 Discrete Functions;
 Nonlinear Equations;
 Time Marching;
 Fluid Mechanics and Heat Transfer