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

Youssef Mesri (1, 2) , Frédéric Alauzet (3) , Alain Dervieux (1)

1 SMASH - Simulation, modeling and analysis of heterogeneous systems
2 CEMEF - Centre de Mise en Forme des Matériaux
3 GAMMA - Automatic mesh generation and adaptation methods

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.

Mots clés: Computational Fluid Dynamics; Mesh adaptation; shape design

Domaines: Mathématiques [math]; Analyse numérique [math.NA]

Youssef Mesri, Frédéric Alauzet, Alain Dervieux. A fixed-point mesh-adaptive shape design algorithm applied to sonic boom reduction. [Research Report] Inria. 2008. ⟨hal-01466945⟩