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Nonlinear pulsations of horizontal jets

机译：水平喷射的非线性脉动

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A shallow-water model with horizontally nonuniform density is used to study the dynamics of jet flows that arise under the influence of buoyancy and the Coriolis force. Within this approach, the jet is described by a self-similar compactly-localized solution and interpreted as a band of shear flow having a temperature contrast with the ambient fluid. In addition to stationary states, the dynamics of such jets admit cyclonic rotation with a constant angular velocity and transverse nonlinear pulsations. The phase portrait corresponding to this model shows that regimes with pulsating jets develop along closed trajectories bounded by the separatrix loop. The theory predicts that the period for warm jet pulsations is longer than the inertial oscillation period caused by the Earth's rotation, while for cold jet pulsations, it is shorter. Thus, only warm jets can have a noticeable effect on the atmospheric dynamics in the synoptic range. In particular, they may well be responsible for additional spectral peaks that appear in this range of wind speed fluctuations.
机译：具有水平不均匀密度的浅水模型用于研究在浮力和科里奥利力的影响下产生的喷射流动的动态。在该方法中，射流由自相似的紧凑型局部化溶液描述，并被解释为具有与环境流体对比的温度对比的剪切流带。除了静止状态之外，这种喷气机的动态还承认具有恒定角速度和横向非线性脉动的旋转旋转。对应于该模型的相位肖像显示了具有脉动喷射器的制度沿着由Separatrix循环界定的封闭轨迹开发。该理论预测，热喷射脉动的时期比地球旋转引起的惯性振荡周期，而对于冷射流脉动，它较短。因此，只有温暖的喷射器可以对概要范围内的大气动力学产生显着影响。特别是，它们可能非常负责额外的光谱峰值，这些光谱峰值出现在这种风速波动范围内。

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