Title
On free surface PDE constrained shape optimization problems.
Abstract
Shape optimization problems in fluid dynamics governed by the free surface flows are considered. Such problems are inspired by the process of continuous casting of steel where optimization of large vortex structures in different metallurgical reactors is of paramount importance to ensure good quality output. The pseudo-transient approach is used as solution strategy for solving the free surface problem. Design sensitivities involving different cost functionals are derived using a formal Lagrangian framework. Numerical results are presented which indicate the success of the proposed algorithm for solving this free surface shape optimization problem.
Year
DOI
Venue
2012
10.1016/j.amc.2012.05.032
Applied Mathematics and Computation
Keywords
Field
DocType
Fluid dynamics,Free surface flow,Shape optimization
Continuous optimization,Mathematical optimization,Free surface,Lagrangian,Vortex,Fluid dynamics,Shape optimization,Continuous casting,Mathematics
Journal
Volume
Issue
ISSN
218
23
0096-3003
Citations 
PageRank 
References 
3
0.53
3
Authors
2
Name
Order
Citations
PageRank
H. Kasumba1102.63
Karl Kunisch21370145.58