A Two-Dimensional Contaminant Transport Model with High-Resolution Upwind Schemes

High-resolution upwind schemes have become popular techniques to solve multidimensional transport problems. Based on the finite volume method (FVM), two-dimensional horizontal hydrodynamic transport equations can be written in the form of FVM discretization consisting of normal concentration fluxes around each element. The first-order Osher's approximate Riemann Solver is employed to estimate the normal concentration flux across the interface between elements, and high-resolution upwind schemes can be achieved by adding a limited (corrected) antidiffusive flux to ensure second-order accuracy and unwanted numerical oscillations. Two examples are presented to demonstrate the ability of the model with the high-resolution upwind scheme.