地形上近临界自由表面旋转流

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences Pub Date : 2004-10-08 DOI:10.1098/rspa.2004.1317

G. G. Vilenski, E. Johnson

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引用次数: 7

摘要

在弱三维非线性长波色散极限下，研究了局部地形上的自由表面旋转流动。该分析基于强迫旋转Kadomtsev-Petviashvili (frKP)方程。对小压力下的稳态超临界流动进行了解析描述。对超临界和亚临界流动的有限振幅地形效应进行了数值描述。流动的压力阻力被描述为障碍物高度、罗斯比数和测量流动速度与线性长重力波速度差的失谐参数的函数。

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Near-critical free-surface rotating flow over topography

Free–surface rotating flow over localized topography is studied in the weakly three–dimensional nonlinear long–wave dispersive limit. The analysis is based on the forced rotating Kadomtsev–Petviashvili (frKP) equation. For small forcing, steady supercritical flow is described analytically. Finite–amplitude topographic effects are described numerically for both supercritical and subcritical flows. The pressure drag on the flow is described as a function of obstacle height, Rossby number and the detuning parameter measuring the difference between the flow speed and that of linear long gravity waves.

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Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences

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