利用一个三层模式和钟形山脉研究了中尺度地形参数对背风波振幅的影响。理论分析表明,若保持地形高度不变,变化地形宽度时,当山脉半宽为背风波频率的倒数,波动的振幅可以达到最大;若地形高度和半宽按不同比例变化时,波动振幅的变化是不确定的;若高度和半宽按相同比例变化时,即保持山脉形状不变的情况下,半宽为频率的倒数的2倍时,振幅达到最大。最后利用ARPS模式对地形参数的变化进行了敏感性试验,模拟结果与理论结果相吻合。
A bell-shaped mountain was used to study the influence of the topographic parameters on the amplitude of the lee wave. The theoretical analysis showed that, if the topographic height remains constant, the lee-wave amplitude attains its greatest value when the topographic half-width is suitably the reciprocal of the wave frequency. If the topographic height and half-width vary by different proportions, the variety of wave amplitude is uncertain. Especially, if the topographic height and half-width vary by the same proportion, i.e. the topographic preserves its shape, the maximum amplitude occurs when the halfwidth is the double reciprocal of the wave frequency. Then, the sensitivity tests were performed to examine the change of topographic parameters by the ARPS model, which are consistent with theoretical results.