【摘要】 将大气和海洋中f 平面上中尺度地形的扰动问题统一起来作为一个地球物理流体力学问题,应用涡度、能量和经圈动量守恒条件,将原来高度非线性方程变成一个二阶椭园型非线性方程,用数值模拟方法分析了大气中的过山运动和海洋中的沿岸上升流,给出了与观测接近的模拟结果以及运动过程对内部物理参数和外界条件的敏感性分析。所提方法可供进一步的动力学分析和数值研究参考。更多还原

【Abstract】 In this paper, the nonlinear flow disturbed by mesoscale topography on f-plane in atmosphere and ocean is studied. The conservations of vorticity, energy and meridional momentum are used to translate the highly nonlinear equations into second order elliptic nonlinear equations, the air current flowing past a mountain ridge and the coastal upwelling in ocean are numerically simulated to give simulated results similar to the observations, and the sensibility of motion process to the internal physical parameters and the external conditions is also analysed. The methods developed in this paper provide a useful reference for further dynamic analysis and numerical studies.更多还原