Shape optimization for Navier-Stokes equations with algebraic turbulence model : numerical analysis and computation

0356166 - MÚ 2011 RIV US eng J - Journal Article
Haslinger, J. - Stebel, Jan
Shape optimization for Navier-Stokes equations with algebraic turbulence model : numerical analysis and computation.
Applied Mathematics and Optimization. Roč. 63, č. 2 (2011), s. 277-308. ISSN 0095-4616. E-ISSN 1432-0606
R&D Projects: GA MŠMT LC06052
Institutional research plan: CEZ:AV0Z10190503
Keywords : optimal shape design * paper machine headbox * incompressible non-Newtonian fluid * algebraic turbulence model
Subject RIV: BA - General Mathematics
Impact factor: 0.952, year: 2011
http://link.springer.com/article/10.1007%2Fs00245-010-9121-x

We study the 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 the optimal control problem in which the control variable is the shape of the domain representing the header, the state problem is represented by the generalized Navier-Stokes system with nontrivial boundary conditions. This paper deals with numerical aspects of the problem.
Permanent Link: http://hdl.handle.net/11104/0194760