Unstructured grid finite volume model for two-dimensional shallow water flows
Unstructured grid finite volume model for two-dimensional shallow water flows
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发表时间：
2011
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通讯作者：
Y. Jun
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作者：
Y. Jun
本文建立了一个基于非结构化网格的高分辨率二维有限体积数值模型，用于模拟有干湿变化的地形上的二维非稳定浅水流动，在三角形网格节点处定义河床高程，通过DFB求解河床坡源（床坡源项的偏离）方法，正确地平衡了Godunov型有限体积激波捕获格式中的通量梯度项和源项，干边界。为了减轻由于在湿/干边界附近的小水深引起的数值不稳定性问题，摩擦源项以全隐式方式处理。最后，数值模拟结果表明，该模型能较准确地捕捉不规则地形上的流动过程。
This paper presents a high-resolution two-dimensional finite-volume numerical model based on unstructured grids for unsteady two-dimensional shallow-water flow over topography with wetting and drying.The bed elevation is defined at triangle grid nodes and bed slope source is solved by DFB(divergence from for bed slope source term) method,which balanced correctly the flux gradient and source terms in Godunov-type finite volume shock-capturing schemes and by the moving wet–dry boundary as the flood rises or falls.To alleviate the problems associated with numerical instabilities due to small water depths near a wet/dry boundary,the friction source terms are treated in a fully implicit way.Finally,four tests are used to validate the solver of the present model.Results of the numerical simulation indicate that present model may accurately capture flow processes over irregular topography.