On an Exact Step Length in Gradient-Based Aerodynamic Shape Optimization—Part II: Viscous Flows

This study presents an extension of a previous (On Exact Step Length in Gradient-Based Aerodynamic Shape Optimization) to viscous transonic flows. In this work, we showed that the same procedure derive explicit expression for exact step length βexact gradient-based optimization method inviscid flows can be employed The extended numerical was evaluated over RAE 2822 airfoil at two common flow conditions regime. To do so, reconstructed by Bezier curve degree 16. solution turbulent performed using solver ANSYS Fluent (using Spalart–Allmaras turbulence model). Using proposed length, minimize drag-to-lift ratio airfoil. gradient objective function with respect design variables calculated finite-difference method. Efficiency and accuracy were investigated through test cases.