Numerical and computational efficiency of solvers for two-phase problems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F13%3A00388267" target="_blank" >RIV/68145535:_____/13:00388267 - isvavai.cz</a>

Výsledek na webu

<a href="http://ac.els-cdn.com/S0898122112004191/1-s2.0-S0898122112004191-main.pdf?_tid=e77dd742-63a2-11e2-9070-00000aab0f02&acdnat=1358756389_e11eaef264d0bac8123c4a00be3f6efa" target="_blank" >http://ac.els-cdn.com/S0898122112004191/1-s2.0-S0898122112004191-main.pdf?_tid=e77dd742-63a2-11e2-9070-00000aab0f02&acdnat=1358756389_e11eaef264d0bac8123c4a00be3f6efa</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.camwa.2012.05.020" target="_blank" >10.1016/j.camwa.2012.05.020</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Numerical and computational efficiency of solvers for two-phase problems

Popis výsledku v původním jazyce

We consider two-phase flow problems, modelled by the Cahn?Hilliard equation. In this work, the nonlinear fourth-order equation is decomposed into a system of two coupled second-order equations for the concentration and the chemical potential. We analysesolution methods based on an approximate two-by-two block factorization of the Jacobian of the nonlinear discrete problem. We propose a preconditioning technique that reduces the problem of solving the non-symmetric discrete Cahn?Hilliard system to a problem of solving systems with symmetric positive definite matrices where off-the-shelf multilevel and multigrid algorithms are directly applicable. The resulting solution methods exhibit optimal convergence and computational complexity properties and aresuitable for parallel implementation. Weillustrate the efficiency of the proposed methods by various numerical experiments, including parallel results for large scale three dimensional problems.

Název v anglickém jazyce

Numerical and computational efficiency of solvers for two-phase problems

Popis výsledku anglicky

We consider two-phase flow problems, modelled by the Cahn?Hilliard equation. In this work, the nonlinear fourth-order equation is decomposed into a system of two coupled second-order equations for the concentration and the chemical potential. We analysesolution methods based on an approximate two-by-two block factorization of the Jacobian of the nonlinear discrete problem. We propose a preconditioning technique that reduces the problem of solving the non-symmetric discrete Cahn?Hilliard system to a problem of solving systems with symmetric positive definite matrices where off-the-shelf multilevel and multigrid algorithms are directly applicable. The resulting solution methods exhibit optimal convergence and computational complexity properties and aresuitable for parallel implementation. Weillustrate the efficiency of the proposed methods by various numerical experiments, including parallel results for large scale three dimensional problems.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2013

Kód důvěrnosti údajů

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

Název periodika

Computers & Mathematics With Applications

ISSN

0898-1221

e-ISSN

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Svazek periodika

65

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

15

Strana od-do

301-314

Kód UT WoS článku

000315239900002

EID výsledku v databázi Scopus

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