A parallel mixed–hybrid finite element method for two phase flow problems in porous media using MPI

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F17%3A00316927" target="_blank" >RIV/68407700:21340/17:00316927 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

A parallel mixed–hybrid finite element method for two phase flow problems in porous media using MPI

Popis výsledku v původním jazyce

This paper deals with a numerical solution of two–phase flow problems in porous media. To solve this type of problems, we propose a numerical method based on mixed–hybrid finite element method. The method is briefly introduced for arbitrary dimension but only a 2D case is considered in this work. We implement several variations of this method using different approaches to solve the resulting system of linear algebraic equations. Direct and iterative solvers are used and a parallel implementation of this method based on the domain decomposition method using MPI (Message Passing Interface) is described. The accuracy and the computational efficiency of the method is verified using a problem with a known exact solution. Numerical experiments show that the errors are similar for all variations of the method. The method is convergent and the experimental order of convergence is slightly less than one. There are differences in the computational time in favor to the iterative solvers, especially when using finer meshes. For computations on fine meshes it is also advantageous to use the parallelism that significantly speeds-up the computation.

Název v anglickém jazyce

A parallel mixed–hybrid finite element method for two phase flow problems in porous media using MPI

Popis výsledku anglicky

This paper deals with a numerical solution of two–phase flow problems in porous media. To solve this type of problems, we propose a numerical method based on mixed–hybrid finite element method. The method is briefly introduced for arbitrary dimension but only a 2D case is considered in this work. We implement several variations of this method using different approaches to solve the resulting system of linear algebraic equations. Direct and iterative solvers are used and a parallel implementation of this method based on the domain decomposition method using MPI (Message Passing Interface) is described. The accuracy and the computational efficiency of the method is verified using a problem with a known exact solution. Numerical experiments show that the errors are similar for all variations of the method. The method is convergent and the experimental order of convergence is slightly less than one. There are differences in the computational time in favor to the iterative solvers, especially when using finer meshes. For computations on fine meshes it is also advantageous to use the parallelism that significantly speeds-up the computation.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

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OECD FORD obor

10101 - Pure mathematics

Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

Informatyka w Technologii Materiałów

ISSN

1641-8581

e-ISSN

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Svazek periodika

17

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

PL - Polská republika

Počet stran výsledku

10

Strana od-do

84-93

Kód UT WoS článku

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EID výsledku v databázi Scopus

2-s2.0-85043353523