Flow control with regularized state constraints

被引：0
|
作者：
de los Reyes, J. C. [1 ,2 ]
Troeltzsch, F. [1 ]
机构：
[1] Tech Univ Berlin, Str 17 Juni 136, D-10623 Berlin, Germany
[2] Escuela Politecn Nacl Quito, Quito, Ecuador
来源：
ACTIVE FLOW CONTROL | 2007年 / 95卷
关键词：
VELOCITY TRACKING PROBLEM; SMOOTH NEWTON METHOD; NAVIER-STOKES FLOWS; APPROXIMATION;
D O I：
暂无
中图分类号：
V [航空、航天];
学科分类号：
08 ; 0825 ;
摘要：
We consider the distributed optimal control of the Navier-Stokes equations in presence of pointwise state constraints. A Lavrentiev regularization of the constraints is proposed and a first order optimality system is derived. The regularity of the mixed constraint multiplier is investigated and second order sufficient optimality conditions are studied. In the last part of the paper, a semi-smooth Newton method is applied for the numerical solution of the control problem and numerical experiments are carried out.
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页码：353 / +
页数：4
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