TY  - JOUR
ID  - 2008-06
T1  - Shape Optimization for Navier-Stokes Equations with Algebraic Turbulence Model: Existence Analysis
A1  - Bulíček, Miroslav
A1  - Haslinger, Jaroslav
A1  - Málek, Josef
A1  - Stebel, Jan
JA  - Applied Mathematics and Optimization
Y1  - 2009
VL  - 60
IS  - 2
SP  - 185
EP  - 212
SN  - 0095-4616
N1  - Preprint no. 2008-06
UR  - http://www.karlin.mff.cuni.cz/ncmm/preprints/0885131230preprint.pdf
M2  - doi: 10.1007/s00245-009-9066-0
KW  - Algebraic turbulence model
KW  - Incompressible non-Newtonian fluid
KW  - Optimal shape design
KW  - Outflow boundary condition
KW  - Paper machine headbox
N2  - We study a shape optimization problem for the paper machine headbox which distributes a mixture of water and wood fibers in the paper making process. The aim is to find a shape which a priori ensures the given velocity profile on the outlet part. The mathematical formulation leads to an optimal control problem in which the control variable is the shape of the domain representing the header, the state problem is represented by a generalized stationary Navier–Stokes system with nontrivial mixed boundary conditions. In this paper we prove the existence of solutions both to the generalized Navier–Stokes system and to the shape optimization problem.
M1  - unique-id={{ISI:000267894900003}}
ER  -