CAJ | 학술논문

导出了可压缩流的抛物化稳定性方程(PSE).针对高速流动,特别是超声速和高超声速流动的非平行边界层稳定性问题进行了研究.引入高效的边界层变换、全流场高精度的差分格式及预估校正迭代和推进求解法来求解PSE方程,使得PSE方法中至关重要的正规化条件得到了满足,确保了数值计算的稳定.采用高马赫数下对稳定性起支配作用的第二模式,研究了高速流边界层稳定性的演变和特征,分析了流动的非平行性、压缩性,以及壁面冷却等因素对流动稳定性的影响,所得结果与相关实验数据吻合较好.
도출료가압축류적포물화은정성방정(PSE).침대고속류동,특별시초성속화고초성속류동적비평행변계층은정성문제진행료연구.인입고효적변계층변환、전류장고정도적차분격식급예고교정질대화추진구해법래구해PSE방정,사득PSE방법중지관중요적정규화조건득도료만족,학보료수치계산적은정.채용고마혁수하대은정성기지배작용적제이모식,연구료고속류변계층은정성적연변화특정,분석료류동적비평행성、압축성,이급벽면냉각등인소대류동은정성적영향,소득결과여상관실험수거문합교호.
The parabolized stability equations (PSEs) for high speed flows,especially supersonic and hypersonicflows,are derived and used to analyze the nonparallel boundary layer stability.The proposed numerical tech-niques for solving PSE include the following contents:introducing the efficiently normal transformation of theboundary layer,improving the computational accuracy by using a high-order differential scheme near the wall,employing the predictor-corrector and iterative approach to satisfy the important normalization condition,and im-plementing the stable spatial marching.Since the second mode dominates the growth of the disturbance in highMach number flows,it is used in the computation.The evolution and characteristics of the boundary layer stabili-ty in the high speed flow are demonstrated in the examples.The effects of the nonparallelizm,the compressibilityand the cooling wall on the stability are analyzed.And computational results are in good agreement with the rele-vant data.