| Abstract: | A mixed, isoparametric finite element model for analysis of two-dimensional, steady, incompressible Newtonian flows for a microcomputer has been developed. An ad hoc mixed variational principle, in terms of vorticity ω and streamline φ functions, has been used in the finite element formulation. The six-node, isoparametric element has been employed in the computer program VISFLOW-2D which uses the newton-Raphson method to perform the nonlinear analysis. Computed ω and φ functions over a given domain are then used by the computer program PRESS-2D, to calculate the pressure distribution. The unsymmetric frontal solver is used to solve the linearized equations in ω-φ formulation and the symmetric frontal solver in the pressure formulation. A postprocessor has also been developed to plot the contours for ω, φ, and p, called CONT. This program splits each deformed or undeformed six-node, isoparametric element into 16 three-node triangular elements and computes the nodal values for the resulting elements before a linear interpolation is employed for plotting a contour. The procedure for analysis of steady, two-dimensional, incompressible viscous flow was then used to solve the problem of flow around a cylinder on a microcomputer. |
