On some practical issues concerning the implementation of Cahn-Hilliard-Navier-Stokes type models

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10370312" target="_blank" >RIV/00216208:11320/17:10370312 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s12572-016-0171-4" target="_blank" >http://dx.doi.org/10.1007/s12572-016-0171-4</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s12572-016-0171-4" target="_blank" >10.1007/s12572-016-0171-4</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On some practical issues concerning the implementation of Cahn-Hilliard-Navier-Stokes type models

Popis výsledku v původním jazyce

Suspensions, solutions and colloids are physical systems that can be generally denoted as &quot;multicomponent systems&quot; or &quot;mixtures&quot;. Physical systems of this type are frequently met in many industrial applications which rises the need for numerical simulations of the behaviour of such complex systems. A particular practical example of such system is glass/tin/nitrogen system that must be studied in modelling of the float glass process (Pilkington process) that partly motivated this research. The aim of this paper is to discuss the numerical challenges along with some practical issues concerning the implementation of a chosen Cahn-Hilliard-Navier-Stokes type model that showed up to be particularly suitable for the description of three-component systems. The discretization of the system of governing partial differential equations is based on the finite element method using the FEniCS Project. Numerical experiments carried out in two and three spatial dimensions verify our straightforward implementation that uses parallel direct sparse solvers to resolve the intermediate linear systems of algebraic equations. Possible improvements of the current implementation are briefly outlined within the paper.

Název v anglickém jazyce

On some practical issues concerning the implementation of Cahn-Hilliard-Navier-Stokes type models

Popis výsledku anglicky

Suspensions, solutions and colloids are physical systems that can be generally denoted as &quot;multicomponent systems&quot; or &quot;mixtures&quot;. Physical systems of this type are frequently met in many industrial applications which rises the need for numerical simulations of the behaviour of such complex systems. A particular practical example of such system is glass/tin/nitrogen system that must be studied in modelling of the float glass process (Pilkington process) that partly motivated this research. The aim of this paper is to discuss the numerical challenges along with some practical issues concerning the implementation of a chosen Cahn-Hilliard-Navier-Stokes type model that showed up to be particularly suitable for the description of three-component systems. The discretization of the system of governing partial differential equations is based on the finite element method using the FEniCS Project. Numerical experiments carried out in two and three spatial dimensions verify our straightforward implementation that uses parallel direct sparse solvers to resolve the intermediate linear systems of algebraic equations. Possible improvements of the current implementation are briefly outlined within the paper.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

International Journal of Advances in Engineering Sciences and Applied Mathematics

ISSN

0975-0770

e-ISSN

—

Svazek periodika

9

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

10

Strana od-do

30-39

Kód UT WoS článku

000404790600004

EID výsledku v databázi Scopus

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