Visualization of unsteady creeping viscous flows using vector products

A finite element method for analyzing unsteady incompressible creeping flow s is presented. Marker particles are introduced to analyze the flow motions . To determine the marker position in the element, vector products are used . By checking the signs of the product, the marker position during the tran sient analysis can be determined in a simple manner. A benchmark-type probl em for which an analytical solution is available and the filling process of a simple axisymmetrical mould shape are solved to illustrate this method.