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Shape Optimization for Navier-Stokes Equations with Algebraic Turbulence Model: Existence Analysis

SYSNO ASEP	0333013
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: Existence Analysis
Title	Tvarová optimalizace pro Navierovy-Stokesovy rovnice s algebraickým modelem turbulence: existenční analýza
Author(s)	Bulíček, M. (CZ) Haslinger, J. (CZ) Málek, J. (CZ) Stebel, Jan (MU-W)_{RID, ORCID, SAI}
Source Title	Applied Mathematics and Optimization. - : Springer - ISSN 0095-4616 Roč. 60, č. 2 (2009), s. 185-212
Number of pages	28 s.
Language	eng - English
Country	US - United States
Keywords	optimal shape design ; paper machine headbox ; incompressible non-Newtonian fluid ; algebraic turbulence model ; outflow boundary condition
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	000267894900003
DOI	10.1007/s00245-009-9066-0
Annotation	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.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2010

Number of the records: 1