气流过山运动的非线性浅水理论

NONLINEAR SHALLOW-WATER MODEL OF FLOW OVER MOUNTAIN

  • 摘要: 用一个两层密度不同的流体所组成的非线性浅水模型讨论了过山气流的变化特征。结果表明;在背风坡下游,如果弗罗德数Fr大于1,则在不同的条件下将会出现波状的、水跃的以及“破裂”的气流,如果Fr小于1,将只会出现“破裂”气流;在山地上空,地形波关于地形分布是非对称的。

     

    Abstract: This paper uses the shallow-water model to discuss the characteristics of the rotating flow over the mountain. The results show that the flow has such features as follows: If Froude numer Fr is greater than 1,then there exist wave-type flow. "jumping flow" or “breaking" flow respectively on the backward of the mountain; While if Froude number Fr is less than 1, then exist the "breaking" flow only. Mountain wave is asymmetric with regard to symmetric mountain.

     

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