Lamb–Oseen vortexOptimal responsePeriodic forcingThe level of the response energy is compared to that without forcing. Different azimuthal modes are studied and compared. The reason of the location of peaks for
Optimal responsePeriodic forcingThe optimal response in the Lamb-Oseen vortex is studied by considering the harmonically forced problem with frequency 蠅. High variance levels are sustained in these systems under periodic forcing. In the axisymmetric case n=0, the response is the largest when the ...
This work investigates how to optimally transport a passive particle between two prescribed points in the 2-D plane in the presence of a Lamb-Oseen (viscous) vortex. We study how to minimise the energy spent in moving the particle by applying a control that only acts on the radial component...
However, the energy cost increases if the increase in viscosity forces the particle to make fewer full revolutions around the vortex. Keywords: optimal control; Pontryagin’s Maximum Principle; vortex methods; Lamb–Oseen vortex; dynamical systems...