A Sensitivity Equation Approach to Shape Optimization in Fluid Flows

Abstract

In this paper we apply a sensitivity equation method to shape optimization problems. An algorithm is developed and tested on a problem of designing optimal forebody simulators for a 2D, inviscid supersonic flow. The algorithm uses a BFGS/Trust Region optimization scheme with sensitivities computed by numerically approximating the linear partial differ- ential equations that determine the flow sensitivities. Numerical examples are presented to illustrate the method.