线性收缩倾斜槽道上的颗粒流
Granular flow over inclined channels with linear contraction
摘要：
本文从理论上和数值上研究了干颗粒沿倾斜斜槽局部收缩流动的问题。通过一种新的扩展的一维水力理论预测的流态。采用离散粒子法验证了经验本构关系，封闭了该一维渐近模型。采用间断伽辽金有限元法求解二维浅颗粒方程，验证了一维模型的正确性。对于超临界流动，一维渐近理论令人惊讶地成立，尽管二维斜颗粒跳跃在收敛通道上变化很大。
英文摘要：
We consider dry granular flow down an inclined chute with a localised contraction theoretically and numerically. The flow regimes are predicted through a novel extended one-dimensional hydraulic theory. A discrete particle method validated empirical constitutive law is used to close this one-dimensional asymptotic model. The one-dimensional model is verified by solving the two-dimensional shallow granular equations through discontinuous Galerkin finite element method (DGFEM). For supercritical flows, the one-dimensional asymptotic theory surprisingly holds although the two-dimensional oblique granular jumps largely vary across the converging channel.
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