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 | |
| Added by: | [ADM] |
| Total mark: | 0 |
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