中文摘要：

基于不可压缩流体包辛内斯克方程组，利用傅里叶变换法和流动内边界条件，研究了两层气流和多层模式气流过地形引起飞机载荷因素变化的解析解和流动的稳定性及其飞机颠簸产生的数值仿真实验．研究结果表明在分层模式气流中，分层急流和地形的相互作用，在大气层结稳定的条件下，由于惯性不稳定常在高压反气旋区域产生飞机颠簸，而天气尺度对流不稳定常在低压气旋区域引起飞机颠簸，可能是飞机经过山脉地区急流附近飞机颠簸产生的两种可能机制．有利于改进航空飞机颠簸预报方法，增强航空飞行气象保障能力．

英文摘要：

Based on Boussinesq equations, the analytical solutions are derived by using the integral transform method and the layered-flow dynamical equations in which two-layered flow, three-layered flow and multi-layered flow over topography are considered. The airplane bump induced by the topography and layered Jet stream are analyzed according to the relationship between the aircraft load factor and the vertical velocity excited by layered flow over topography. The results can improve the forecast of airplane bump in the atmosphere.