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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24220%2F19%3A00006469" target="_blank" >RIV/46747885:24220/19:00006469 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/46747885:24510/19:00006469

Výsledek na webu

<a href="https://link.springer.com/article/10.21136/AM.2019.0301-18" target="_blank" >https://link.springer.com/article/10.21136/AM.2019.0301-18</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.21136/AM.2019.0301-18" target="_blank" >10.21136/AM.2019.0301-18</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

This 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 L2 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.

Název v anglickém jazyce

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

Popis výsledku anglicky

This 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 L2 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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2019

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Applications of Mathematics

ISSN

0862-7940

e-ISSN

—

Svazek periodika

64

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

30

Strana od-do

195-224

Kód UT WoS článku

000463984700005

EID výsledku v databázi Scopus

2-s2.0-85064232663