Inverse design for aerodynamic shape of compressor cascade based on improved Gappy POD method

In view of the high-efficiency aerodynamic inverse design of the compressor cascade，an inverse design framework of the aerodynamic shape based on Gappy proper orthogonal decomposition （Gappy POD） was established.A certain type of compressor cascade was optimized through the Kriging surrogate model to obtain the aerodynamic optimization results，which were used as the basis of the inverse design goals.To further enhance the efficiency and accuracy，two improved methods based on adaptive snapshot replacement optimization and correction of the target pressure coefficient distribution were developed.The efficiency and accuracy of the basic Gappy POD combining these two improvement strategies were compared.Results showed that，the inverse design framework based on the adaptive snapshot replacement optimization process significantly improved the accuracy， and the root mean square error of the pressure coefficient distribution on the blade surface was reduced from 6.49×10^-3 to 1.29×10^-3.Correcting the target pressure coefficient distribution could improve the accuracy of the single inverse design.Combining the two improvement strategies for Gappy POD can achieve faster convergence speed with the same design accuracy，which can provide a new and efficient method for the reverse design of the geometric components of turbomachinery.