A numerical model based on cell-centred finite-volume method is developed for unsteady, two-dimensional, shallow water flow on triangular meshes for calculating the depth and velocities in a natural river. The model uses special form of Riemann solver as a building block to compute fluxes, and an explicit predictor-corrector time stepping is used to provide a second-order accurate solution in time. Special approach in Riemann solver is used to take into account the presence of variable bottom topography and hydraulic structures such as a weir. The approach has been successfully verified for different examples.

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