Title
Vortex control of instationary channel flows using translation invariant cost functionals
Abstract
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.
Year
DOI
Venue
2013
10.1007/s10589-012-9516-5
Comp. Opt. and Appl.
Keywords
Field
DocType
Vortex quantification,Shape optimization,Instationary Navier-Stokes equation
Mathematical optimization,Reynolds number,Expression (mathematics),Mathematical analysis,Vortex,Communication channel,Fluid dynamics,Invariant (mathematics),Shape optimization,Open-channel flow,Mathematics
Journal
Volume
Issue
ISSN
55
1
0926-6003
Citations 
PageRank 
References 
2
0.71
3
Authors
2
Name
Order
Citations
PageRank
H. Kasumba1102.63
Karl Kunisch21370145.58