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LYAPOUNOV STABILITY ANALYSE FOR CONVECTION BOUNDARY LAYER
Author(s): 
Pages: 235-243
Year: Issue:  2
Journal: PLATEAU METEOROLOGY

Keyword:  对流边界层稳定性Lyapounov函数耗散结构;
Abstract: 针对一个简单的大气边界层干热对流模式,根据耗散结构理论及Lyapounov第二稳定性理论,分析了热对流边界层的热力学和动力学稳定性,并将二者结合构造了一个广义Lyapounov函数,进而在小扰动下给出了边界层的非平衡定态(参考态)发生不稳定的临界Rayleigh数和对流得以发展的临界浮力加速度.数值试验结果与理论分析一致.
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