驱动长方形腔内流动非稳定性的数值模拟

NUMERICAL SIMULATION OF INSTABILITY IND DRIVEN RECTANGULAR CAVITY FLOW

摘要: 本文对长宽比为２的驱动腔内流动进行了数值模拟．采用非均匀交错网格上的修正隐式Ｔｅｍａｍ格式，以及压力修正投影法，分别计算了Ｒｅ数为１００、４００、１０００、２０００、３０００、３５００、５０００、１００００的驱动长方形腔内流场。当Ｒｅ≤３０００时，流场收敛到定常状态；而Ｒｅ≥３５００时，只能得到渐近周期结果；其中应用了谱分析等方法说明数值是周期性变化，可见，Ｈｏｐｆ分叉点出现在Ｒｅ数３０００与３５００之间．

Abstract: Numerical simulation is reported for the two-dimensional driven cavityflow with aspect ratio two. Calculation has been performed for Reyonld number from 100to 10000 on nonuniform staggered grids with the modified implicit Temam scheme andpressure correction method.When Re≤3000, steady-state solutions have been obtained;when Re≥3500, periodic asymptotic solutions have been obtained and verifed with spectralanalysis.It is shown that Hopf bifurcation occurs between Re = 3000 and 3500.