A Finite ElementGalerkin Model for nonlinear viscous fluid flow problems
Abstract
A Finite ElementGalerkin Model (F.E.G.M.) has been developed and examined for the solution of the two dimensional, viscous, incompressible, steady and unsteady nonlinear flow equations. The equations in the model have been formulated for both the primitive flow variables (velocity and pressure), and the stream function variable. Finite elements having quadratic and quintic functions for the variables, have been used to examine both steady and unsteady boundary layer flows by solving the resulting nonlinear equations without resorting to any linearization procedures. Methods were devised which substantially decrease the computer core storage; allow choice of grid to obtain maximum efficiency with minimum number of nodal variables; avoid the use of a large global matrix and improve the accuracy of results obtained when using noncompatible elements. The results obtained indicate the high accuracy and efficiency of the F.E.G.M., when compared with alternative Finite Element and Finite Difference methods.
 Publication:

Nonsteady Fluid Dynamics
 Pub Date:
 1978
 Bibcode:
 1978nsfd.proc..225T
 Keywords:

 Finite Element Method;
 Galerkin Method;
 Nonlinear Equations;
 Two Dimensional Flow;
 Unsteady Flow;
 Viscous Flow;
 Computer Programs;
 Incompressible Flow;
 Pressure Distribution;
 Run Time (Computers);
 Stream Functions (Fluids);
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer