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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。
According to the characteristics of two-dimensional shallow water equations, a lattice Boltzmann model that can simulate two-dimensional open channel unsteady flow is established by using the multi-scale equation developed by the lattice Boltzmann equation. Through the simulation analysis of one-dimensional dam-break wave and two-dimensional circular dam-break wave, the validity of this model is verified. Taking a tailrace of a hydropower station as an example, the law of water level fluctuation caused by unit load rejection and load increase is simulated and analyzed, which provides the basis for the design of tailrace.