Abstract: In order to solve the inverse problem under viscous conditions effectively，an inverse blade shape aerodynamic design method under viscous conditions was developed and incorporated with the FLUENT software via UDF to achieve the inverse design platform. In this method，the pressure distribution of the blade surface was prescribed as the target. The grids movement to modify the blade shape was derived from the difference between the target and current pressure distribution，until the shape corresponding to the prescribed pressure was achieved. The inverse design was conducted for a pair of parabolic cascades to validate the design platform，and redesign of a turbine cascade was conducted afterwards. For both parabolic and turbine cases，the inverse calculated pressure distribution coincided with the target. Thus the usefulness of the design platform is confirmed. The inverse method has about 85%～95% decreasing in pressure residual after calculation and computation time is about 4～7 times longer than analyzing calculation.

Key words: Viscosity；Aerodynamic design；Blade shape；Inverse design；Dynamic mesh

摘要： 为了有效解决粘性条件下的反问题，发展了一种满足粘性假设的逆命题气动设计方法，并将其通过UDF与FLUENT软件结合，构建了逆命题设计平台。该方法给定叶型的目标压力分布，采用目标和当前压力分布的差计算出网格变形量修正叶型，直到获得满足目标压力分布的型线。采用本平台对一组抛物线叶栅进行计算验证，之后完成了涡轮叶栅的重新设计。抛物线和涡轮叶栅的逆命题计算结果的压力分布均与目标吻合良好，证明了本平台的有效性。逆命题计算后压力残差下降约85%～95%，计算时间约为分析计算的4～7倍。

关键词: 粘性；气动设计；叶型；逆命题设计；动网格