A surface parametric control and global optimization method for axial flow compressor blades

Design Optimization of a Multistage Axial Flow Compressor Based on Full-Blade Surface Parameterization and Phased Strategy

“…For the design of multistage axial flow compressors, an aerodynamic optimization design method can effectively reduce the dependence on manual experience and greatly improve the design capability. It is well known that the aerodynamic optimization design of a multistage axial flow compressor has the characteristics of typical high-dimensionality, expensive cost, and black box (HEB) [1] problem. With an increase in optimization control variables, the design space will grow exponentially and fall into the "curse-of-dimensionality."…”

“…Traditional methods for solving the HEB problem of aerodynamic optimization of multistage axial flow compressors can be divided into six categories: (1) screening variables [7,8], (2) stage-by-stage optimization [9], (3) spatial decoupling [10], (4) surrogate model method [11][12][13][14][15], (5) adjoint algorithm [16][17][18], and (6) parametric dimensionality reduction [19,20]. Among them, the screening method is only suitable for examples with obvious bad flow fields but is not universal.…”

“…Lee et al compared B-spline and CST surface methods and concluded that the two parametric methods have their own advantages and disadvantages and are suitable for different situations. In 2003, the semiblade surface parametric method (blade suction surface modification by a Bezier surface) was applied in the internal flow field of compressors by Burguburu and le Pape [29], which was further developed by Wang and Zhou [30] and Cheng et al [1]. However, the defect of this surface parametric method is that only half of the blade surface is modified, and the influence of the other half surface on the flow field is ignored.…”

Research on Aerodynamic Optimization Method of Multistage Axial Compressor under Multiple Working Conditions Based on Phased Parameterization Strategy

“…References [19,20] note that the parameterization mapping dimensionality reduction method is one of the most promising solutions to the HEB problem, and its core concept is to reduce design variables on the premise of preserving the optimal solution of high-dimensional space as much as possible. e surface parameterization method is an effective parameterized dimensionality reduction method that is first applied to the optimization design of an external flow airfoil [21][22][23][24] and later introduced to internal flow [25][26][27]. Because the essence of this method is to constrain the radial parameters so that the sections are no longer independent changes, thus greatly reducing the design variables, the radial smoothness of the profile is realized.…”

“…In this paper, a full-blade surface parameterization method is used in the optimization process. Compared with the semiblade surface parameterization [25][26][27], this method has excellent modification flexibility. It can keep the low-dimensional characteristics while taking into account the changes of suction, pressure surfaces, and leading edge metal angle.…”