Continuum Shape Sensitivity Method for Fluid Flow Around an Airfoil

摘要

A Continuum Sensitivity Equation (CSE) method was developed for the fluid flow problems to support computationally efficient optimization of aerodynamic design problems. The continuum sensitivity equations and sensitivity boundary conditions were derived using both local and total derivative form for potential flow around an airfoil. The finite element method was adopted for solving both of the original flow analysis problem and the sensitivity equations. In this paper, the pressure coefficient sensitivity with respect to the angle of attack was calculated for verification. Shape sensitivities with respect to airfoil shape parameters were also calculated, and the accuracy and efficiency between local form and total form CSE was compared.