二维明渠非恒定流的格子Boltzmann模拟
2-D open channel flow simulations by the lattice Boltzmann model
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摘要: 根据二维浅水波方程的特点,应用由格子Boltzmann方程展开的多尺度方程,建立了一个能模拟二维明渠非恒定流的格子Boltzmann模型。通过对一维溃坝波和二维圆形溃坝波的模拟分析,验证了该模型的有效性。以某水电站尾水渠为例,模拟分析了由机组甩负荷和增负荷引起的水位波动规律,为尾水渠的设计提供了依据。Abstract: A special lattice Boltzmann rmdel for simulating 2-D unsteady open channel flows is built by combining the Chapman-Enskog-Expansion derived multi-scale equations that approximate the form of shallow water equations.To verify the model typical 1-D and 2-D dam breaks are simulated,and the results show agreement with analytical method and other models.As an actual example,the unsteady flows in the tailrace channel of a hydropower plant are calculated.