Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
SIAM Journal on Numerical Analysis
Approximate Riemann solvers, parameter vectors, and difference schemes
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
An immersed-boundary finite-volume method for simulations of flow in complex geometries
Journal of Computational Physics
The Topological Asymptotic for PDE Systems: The Elasticity Case
SIAM Journal on Control and Optimization
Multilevel optimization of a supersonic aircraft
Finite Elements in Analysis and Design
Involutive upgrades of Navier-Stokes solvers
International Journal of Computational Fluid Dynamics
Hi-index | 0.00 |
We aim to optimize aerodynamic shapes using an incomplete sensitivity concept and regularization (projection) when control parameters are characteristic functions as in level set and immersed boundary approaches. The projection operator is also used to define a rotation operator over the unit sphere in the admissible space to improve sensitivity definition from the incomplete sensitivity. Hence, the direction of descent is found as a solution of a one-dimensional minimization problem. This is suitable for large dimension control spaces, avoids an adjoint formulation and is particularly interesting for sensitivity evaluation for black-box solvers. The approach is applied to various shape design in supersonic regime with level sets.