  The main contribution of this paper is the formulation of a diffuse
approximation method(DAM), for two-dimensional channel flows. The proposed
method is based on the vorticity-streamfunction formulation. The DAM which
estimates derivates of a scalar field has the remarkable advantage to work on
discretization points (thus avoiding mesh generation). It has been shown that
the DAM is much better than the finite element method for the computation of
gradients [1-2]. In a previous paper [3], we have shown that it can be used to
solve laminar natural convection problems. In this work, we discuss the
applicability of this method to channel flows with a particular emphasis on the
form of the weighting function.
