Abstract

Reflections of hydraulic jumps on shallow water are studied. Theoretical criteria of the transition between the regular and Mach reflections are derived, and it is shown that there is a domain of angles of incidence where both types of reflection are possible. Numerical simulations reveal a hysteresis of this transition, which is consistent with theoretical predictions. It is shown that the hysteresis can be obtained by smoothly varying either the angle of the wedge generating the hydraulic jump or the freestream Froude number.

中文翻译：

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浅水中倾斜水跃相互作用引起的滞后

摘要

研究了浅水中水跃的反射。导出了规则反射和马赫反射之间过渡的理论标准，并表明存在一个入射角域，其中两种类型的反射都是可能的。数值模拟揭示了这种转变的滞后现象，这与理论预测一致。结果表明，可以通过平滑地改变产生水力跳跃的楔子的角度或自由流弗劳德数来获得滞后。