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Shape Optimization for Navier-Stokes Equations with Algebraic Turbulence Model: Existence Analysis
Type of publication: Article
Citation: 2008-06
Publication status: Published
Journal: Applied Mathematics and Optimization
Volume: 60
Number: 2
Year: 2009
Month: October
Pages: 185-212
Note: Preprint no. 2008-06
ISSN: 0095-4616
URL: http://www.karlin.mff.cuni.cz/...
DOI: 10.1007/s00245-009-9066-0
Abstract: 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.
Userfields: unique-id={{ISI:000267894900003}},
Keywords: Algebraic turbulence model , Incompressible non-Newtonian fluid , Optimal shape design , Outflow boundary condition, Paper machine headbox
Authors Bulíček, Miroslav
Haslinger, Jaroslav
Málek, Josef
Stebel, Jan
Added by: [ADM]
Total mark: 0
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