论文标题
轴对称内波超荷尔马克的实验自我生成
Experimental self-generation of axisymmetric internal wave super-harmonics
论文作者
论文摘要
在本文中，我们介绍了一项实验研究，该研究对谐振腔中轴对称内部重力波的弱非线性相互作用得到了理论考虑的支持。与笛卡尔坐标中的平面波相反，对于线性分层中的自我相互作用术语为无效，发现内部波模式在轴对称几何形状中的非线性自我交互是有效产生超荷尔蒙语的有效性的，即其频率的频率是激发频率的频率。由于我们实验中测试的频率范围，第一个谐波频率低于分层施加的截止频率，因此创建的最低谐波始终可以传播。该研究表明，超谐波波场是满足内部波的色散关系和腔壁施加的边界条件的一致的总和，同时保存了轴对称。
In this paper, we present an experimental study of weakly non-linear interaction of axisymmetric internal gravity waves in a resonant cavity, supported by theoretical considerations. Contrary to plane waves in Cartesian coordinates, for which self-interacting terms are null in a linear stratifiation, the non-linear self-interaction of an internal wave mode in axisymmetric geometry is found to be efficient at producing super-harmonics, i.e. waves whose frequencies are integer multiples of the excitation frequency. Due to the range of frequencies tested in our experiments, the first harmonic frequency is below the cut-off imposed by the stratification so the lowest harmonic created can always propagate. The study shows that the super-harmonic wave field is a sum of standing waves satisfying both the dispersion relation for internal waves and the boundary conditions imposed by the cavity walls, while conserving the axisymmetry.
