论文标题
自由表面上的波电流相互作用
Wave-current interaction on a free surface
论文作者
论文摘要
由于在自由表面未指定压力和垂直速度动力学，因此在流体流动流的自由表面上的电势流的经典进化方程未闭合。此外，它们的波动力学不会导致自由表面上流体速度的循环。我们在这里得出的自由表面运动的方程式是封闭的，并且不限于潜在流。因此，可能会发生真正的波流交互动力学。特别是，开尔文定理表明，波活性可以在自由表面诱导流体循环和涡旋动力学。此处引入的波流相互作用方程开放了新的远景，用于自由表面上非线性波的确定性和随机分析。
The classic evolution equations for potential flow on the free surface of a fluid flow are not closed because the pressure and the vertical velocity dynamics are not specified on the free surface. Moreover, their wave dynamics does not cause circulation of the fluid velocity on the free surface. The equations for free-surface motion we derive here are closed and they are not restricted to potential flow. Hence, true wave-current interaction dynamics can occur. In particular, the Kelvin-Noether theorem demonstrates that wave activity can induce fluid circulation and vorticity dynamics on the free surface. The wave-current interaction equations introduced here open new vistas for both the deterministic and stochastic analysis of nonlinear waves on free surfaces.
