SONG Lixiang, YANG Fang, HU Xiaozhang, YANG Liling, ZHOU Jianzhong. A coupled mathematical model for two-dimensional flow-transport simulation in tidal river network[J]. Advances in Water Science, 2014, 25(4): 550-559.
Citation: SONG Lixiang, YANG Fang, HU Xiaozhang, YANG Liling, ZHOU Jianzhong. A coupled mathematical model for two-dimensional flow-transport simulation in tidal river network[J]. Advances in Water Science, 2014, 25(4): 550-559.

A coupled mathematical model for two-dimensional flow-transport simulation in tidal river network

  • Water flows in tidal river network are governed by channel runoff, tidal power and potential sluices operations, so the corresponding hydrodynamic conditions are very complex. To simulate the flow-mass transport in tidal river network under sluices operations, an integrated solver is proposed for computing flow and mass transport fluxes simultaneously, and then a two-dimensional coupled flow-mass transport model based on unstructured Godunov-type scheme is developed. The MUSCL-Hancock predictor-corrector scheme combined with the slope limiter is adopted to achieve the high-accuracy and high-resolution property. The sloping bottom grid is used to represent the sluice as a linear topography, and the sluice operation is modeled through adjusting the nodal bed elevation. Numerical results of test examples and field application show that the model is accurate, and can efficiently simulate complex flow and mass transport in tidal river network under sluices operations, thus has bright application prospects.
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