A fixed-point mesh-adaptive shape design algorithm applied to sonic boom reduction

Abstract : This paper presents a combination of mesh adaptation and shape design optimization. The optimization loop is based on an Euler model and an adjoint-based gradient descent algorithm. Mesh adaptation provides here, a control of accuracy of the numerical solution by modifying the domain discretization according to size and stretching directions. A novel algorithm is designed for coupling mesh adaptation and shape optimization. Application of this algorithm to sonic boom mitigation is presented and compared to a more natural approach.