可冲刷坡面滚波数值模拟研究

NUMERICAL SIMULATION OF ROLL WAVES IN OVERLAND FLOW OVER MOVABLE BED

  • 摘要: 应用一维水沙耦合数学模型研究了可冲刷坡面上滚波的水动力学特性. 模型的基本控制方程采用完整的、基于守恒定律的一维浅水动力学方程,运用能够捕捉激波和泥沙运动不连续性的WAF TVD二阶数值格式离散控制方程. 通过复演定床滚波的运动特点,对模型进行了验证.可冲刷坡面的滚波数值模拟结果表明,床面形态对滚波水动力学特性有显著的影响.

     

    Abstract: A numerical study on mobile bed hydraulics of roll waveswith sediment transport and morphological evolution is presented. Thegoverning equations of the model comprise the shallow water hydrodynamicsequations closed with the Manning formulation for the boundary resistance.The second-order Total-Variation-Diminishing version of theWeighted-Average-Flux method, along with the HLLC approximate ReimannSolver, is used to solve the governing equations, which can properly captureshock waves and deal with irregular boundaries.Brock's laboratory experiments of roll waves in a fixed-bed channel arereproduced.Numerical simulations show the development and propagationof roll waves over mobile-bed. It is shown that the morphological evolutionhas a great effect on the roll waves' dynamic characteristics.

     

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