Numerical solution of the two-dimensional unsteady depth-averaged flow and solute transport

A numerical model for the solution of the two-dimensional unsteady depth-averaged flow is described. The model, which is based on the Roe's approximate Riemann solver, is used to solve the 2D depth-averaged equations and solute advection-diffusion equation on an irregular structured grid. A modified MUSCL technique is combined to preclude the restrictions on the Roe's scheme duo to bed slope as well as to obtain a second-order accuracy. The wetting and drying process is considered by using an artificial critical depth. The model is verified by comparing the model output with experimental data and the field data of Macau.