Finite element analysis of viscous, incompressible fluid flow. I
Abstract
A numerical procedure is developed for the analysis of general twodimensional flows of viscous, incompressible fluids using the finite element method. The partial differential equations describing the continuum motion of the fluid are discretized by using an integral energy balance approach in conjunction with the finite element approximation. The nonlinear algebraic equations resulting from the discretization process are solved using a Picardi iteration technique. A number of computational procedures are developed that allow significant reductions to be made in the computational effort required for the analysis of many flow problems. These techniques include a coarsetofinemesh rezone procedure for the detailed study of regions of particular interest in a flow field and a special finite element to model farfield regions in external flow problems.
 Publication:

Computer Methods in Applied Mechanics and Engineering
 Pub Date:
 May 1976
 DOI:
 10.1016/00457825(76)900529
 Bibcode:
 1976CMAME...8...51G
 Keywords:

 Finite Element Method;
 Incompressible Flow;
 Iterative Solution;
 Two Dimensional Flow;
 Viscous Flow;
 Computer Techniques;
 Continuum Mechanics;
 Far Fields;
 Nonlinear Equations;
 Partial Differential Equations;
 Steady Flow;
 Fluid Mechanics and Heat Transfer