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Abstract
A modified finite-element method is used to simulate convective flow of an incompressible fluid in two dimensions. The time-dependent governing equations are solved explicitly using equal-order basis functions for the unknown variables, mass lumping, and one-paint quadrature. Petrov-Galerkin weighting is applied to the advection terms. Global assembly and storage of the coefficient matrices are replaced by local assembly. Although spatial accuracy is O(h2) for simply shaped elements, results are accurate for steady-state conditions. The method is cost effective and easy to implement. Problems requiring several thousand nodes can be run on a personal computer