Shapes and geometries: analysis, differential calculus, and optimization
Shapes and geometries: analysis, differential calculus, and optimization
Perspectives in Flow Control and Optimization
Perspectives in Flow Control and Optimization
Introduction to Shape Optimization: Theory, Approximation, and Computation
Introduction to Shape Optimization: Theory, Approximation, and Computation
Optimal Vortex Reduction for Instationary Flows Based on Translation Invariant Cost Functionals
SIAM Journal on Control and Optimization
Applied Numerical Mathematics
Vortex control of instationary channel flows using translation invariant cost functionals
Computational Optimization and Applications
Vortex control of instationary channel flows using translation invariant cost functionals
Computational Optimization and Applications
| Hi-index | 0.00 |
The use of translation invariant cost functionals for the reduction of vortices in the context of shape optimization of fluid flow domains is investigated. Analytical expressions for the shape design sensitivity involving different cost functionals are derived. Instationary channel flow problems with a bump and an obstacle as possible control boundaries are taken as test examples. Numerical results are provided in various graphical forms for relatively low Reynolds numbers. Striking differences are found for the optimal shapes corresponding to the different cost functionals, which constitute different quantification of a vortex.