Circulation based models for Boussinesq gravity currents
Circulation based models for Boussinesq gravity currents
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基于循环的 Boussinesq 重力流模型
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
E. Meiburg
中科院分区：
文献类型：
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作者：
Z. Borden;E. Meiburg
除了质量和水平动量守恒外，现有的重力流分析模型传统上需要关于闭合时沿沿着特定流线的能量守恒或损失的假设。在这里，我们表明，通过考虑界面涡度的演变，可以仅根据质量和动量平衡来预测重力流的前沿速度作为其高度的函数。这种方法不需要压力场的信息，因此避免了早期模型所引用的能量守恒参数的需要。新理论的预测结果与数值模拟结果非常吻合。我们还讨论了下游混合对该理论所预测的锋面速度的影响。
In addition to the conservation of mass and horizontal momentum, existing analytical models of gravity currents traditionally require an assumption about the conservation or loss of energy along specific streamlines for closure. Here, we show that the front velocity of gravity currents can be predicted as a function of their height from mass and momentum balances alone by considering the evolution of interfacial vorticity. This approach does not require information on the pressure field and therefore avoids the need for the energy conservation arguments invoked by earlier models. Predictions by the new theory are shown to be in close agreement with results from numerical simulations. We also discuss the influence of downstream mixing on the front velocity predicted by this theory.