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Shape optimization for Navier-Stokes equations with algebraic turbulence model : numerical analysis and computation
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SYSNO ASEP 0356166 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Shape optimization for Navier-Stokes equations with algebraic turbulence model : numerical analysis and computation Author(s) Haslinger, J. (CZ)
Stebel, Jan (MU-W) RID, ORCID, SAISource Title Applied Mathematics and Optimization. - : Springer - ISSN 0095-4616
Roč. 63, č. 2 (2011), s. 277-308Number of pages 32 s. Language eng - English Country US - United States Keywords optimal shape design ; paper machine headbox ; incompressible non-Newtonian fluid ; algebraic turbulence model Subject RIV BA - General Mathematics R&D Projects LC06052 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000286827500006 EID SCOPUS 79951673527 DOI 10.1007/s00245-010-9121-x Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
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