基于WENO格式的二维水流水质数值模拟

应用高精度WENO(Weighted Essentially Non-oscillatory Schemes)格式结合有限体积法建立了二维水流水质的数学模型.在求解过程中,将单元体上的面积分化为单元边界上的线积分,将二维问题化为一维问题.采用FDS(Flux Difference Splitting)格式求解跨单元边界的法向通量.采用此模型对连续弯道水流和污染物的扩散输移进行了数值模拟,得到了流场及岸边污染物排放的浓度场,并与物理试验结果进行了比较,表明这类格式精度高,稳定性能好.该模型可为工程领域中的水流水质问题的处理提供依据,具有较大的实用价值.

Numerical simulation of 2D hydrodynamics and water quality based on WENO schemes

A mathematical model for simulating 2D hydrodynamics and water quality based on the WENO scheme and finite volume method.The 2D problem is transferred into a series of local 1D problems.The numerical normal flux of variables across the interface between cells is estimated by the FDS scheme.By using the proposed model,the flow property and water quality in a continuously bend channel are calculated;and the flow velocity field and the distributions of concentration for the band discharge are obtained.The comparisons between the calculated and the measured data show that the WENO scheme has higher accuracy and better stability.The research results have provided a good basis for research of hydrodynamic and water quality in river flows,hydraulic engineering,etc.