Shape optimization for a time-dependent model of a carousel press in glass production

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dc.contributor.authorSalač, Petr
dc.contributor.authorStebel, Jan
dc.date.accessioned2019-09-26T08:01:04Z
dc.date.available2019-09-26T08:01:04Z
dc.date.issued2019
dc.description.abstractThis contribution presents the shape optimization problem of the plunger cooling cavity for the time dependent model of pressing the glass products. The system of the mould, the glass piece, the plunger and the plunger cavity is considered in four consecutive time intervals during which the plunger moves between 6 glass moulds. The state problem is represented by the steady-state Navier-Stokes equations in the cavity and the doubly periodic energy equation in the whole system, under the assumption of rotational symmetry, supplemented by suitable boundary conditions. The cost functional is defined as the squared weighted L-2 norm of the difference between a prescribed constant and the temperature of the plunger surface layer at the moment before separation of the plunger and the glass piece. The existence and uniqueness of the solution to the state problem and the existence of a solution to the optimization problem are proved.cs
dc.format.extent30 strancs
dc.identifier.doi10.21136/AM.2019.0301-18
dc.identifier.urihttps://dspace.tul.cz/handle/15240/153785
dc.identifier.urihttps://link.springer.com/article/10.21136/AM.2019.0301-18
dc.language.isocscs
dc.publisherACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS, ZITNA 25, PRAHA 1, 115 67, CZECH REPUBLIC
dc.relation.ispartofAPPLICATIONS OF MATHEMATICS
dc.subjectshape optimizationcs
dc.subjectNavier-Stokes equationscs
dc.subjectheat transfercs
dc.titleShape optimization for a time-dependent model of a carousel press in glass productioncs
local.citation.epage224
local.citation.spage195
local.event.edate2018-06-29
local.event.locationHejnice, CZECH REPUBLIC
local.event.sdate2018-06-24
local.event.title19th Conference on Programs and Algorithms of Numerical Mathematics (PANM)
local.identifier.publikace6469
local.relation.issue2
local.relation.volume64
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