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This paper is concerned with a mathematical model for simulating hydrodynamics of 2D river flow with groins based on the WENO scheme and the Finite Volume Method on unstructured grids. The time discretization uses the Runge-Kutta TVD scheme. By using the proposed model, we calculated the flow property with a groin, and obtained the flow velocity field distributions. The comparisons of the calculated results and the measured data show that the WENO scheme has higher accuracy and better stability, and has the ability to automatically capture shock waves, and may suppress the oscillations of numerical solution in the vicinity of discontinuities. This model can effectively simulate the hydrodynamics of 2D river flow with groins.