Aerodynamic design via control theory
Journal of Scientific Computing
Exact-gradient shape optimization of a 2-D Euler flow
Finite Elements in Analysis and Design
Multilevel parametrization for aerodynamical optimization of 3D shapes
Finite Elements in Analysis and Design
Global optimization, level set dynamics, incomplete sensitivity and regularity control
International Journal of Computational Fluid Dynamics
Reduced-order modeling of transonic flows around an airfoil submitted to small deformations
Journal of Computational Physics
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This paper investigates the application of a multilevel preconditioned algorithm for the sonic boom reduction of a supersonic business jet. The optimization algorithm relies on a gradient approach with an adjoint state evaluation. The multi-level preconditioner is designed from an analysis of the gradient regularity loss. The sonic boom reduction is achieved in an indirect way by minimizing what we call the sonic boom downwards emission, which is computed in the near field. Additional aerodynamic performances like lift and drag forces are also guaranteed by including their evaluation in the problem's cost functional. Applications to 3D geometries are presented.