MULTIDIMENSIONAL MONOTONE FLUX DISCRETIZATION SCHEME FOR CONVECTION DOMINATED FLOWS

Deals with the non-stationary pure convection equation in two dimensio ns. An attribute of the method is that the advective fluxes are approx imated by taking the flow orientations into consideration. The interfa cial numerical fluxes are interpolated by virtue of the rational areas which depend on the corner velocity vectors. This leads to a discrete system containing dissipative artifacts in regions normal to the loca l streamline. Conducts two-dimensional fundamental studies for the flu x discretization developed. These analyses give insight into the order -of-accuracy, and the scheme stability. According to the underlying po sitivity definition, this explicit scheme is, furthermore, classified as conditionally monotonic. This scheme has been applied successfully to solve smooth, sharply varied, and discontinuous transport problems.