Abstract
A finite element method for analyzing transient incompressible creeping flows is presented. Marker particles are used to represent free surfaces and to visualize flow patterns. A six-node triangular isoparametric (second-order) element is used for the analysis. Marker positions are determined by the use of triangular area co-ordinate system. A simple solution algorithm is obtained and a higher order accuracy, which is difficult with the finite difference method, can be expected with the present method. To verify the scheme, a simple punch indentation problem is solved.