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

0356166 - MÚ 2011 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA MŠMT LC06052
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: optimal shape design * paper machine headbox * incompressible non-Newtonian fluid * algebraic turbulence model
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.952, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0194760