“…With the development of the finite element method and computational fluid dynamics technology (Bhagi et al, 2018;Prabhunandan and Byregowda, 2018;Shukla and Harsha, 2015;Brahimi and Ouibrahim, 2016;Hashemian et al, 2020;Jang et al, 2015;Francesco et al, 2017), iterative solutions of the pre-deformation design method based on numerical calculations have gradually been used in blade analysis and optimal design (Noori Rahim Abadi et al, 2017;Obert and Cinnella, 2017;Pascoa et al, 2009;Hou et al, 2019;Li et al, 2019;Jiang et al, 2019;Yi et al, 2020a, b). With these methods, the construction of a hot shape and the correction of a cold shape are alternately and repeatedly executed in the pre-deformation design process.…”