BDDC for MHFEM discretization of unsteady two-phase flow in porous media

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00547534" target="_blank" >RIV/67985840:_____/22:00547534 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21240/22:00359770 RIV/68407700:21340/22:00359770

Výsledek na webu

<a href="https://doi.org/10.1016/j.cpc.2021.108199" target="_blank" >https://doi.org/10.1016/j.cpc.2021.108199</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cpc.2021.108199" target="_blank" >10.1016/j.cpc.2021.108199</a>

Jazyk výsledku

angličtina

Název v původním jazyce

BDDC for MHFEM discretization of unsteady two-phase flow in porous media

Popis výsledku v původním jazyce

This work deals with the application of the Balancing Domain Decomposition by Constrains (BDDC) method to unsteady two-phase flow problems in porous media. We briefly describe the spatial discretization of the problem which is based on the mixed-hybrid finite element method (MHFEM) and semi-implicit time discretization. Then, we describe the BDDC method, in detail discuss the differences between the symmetric and nonsymmetric cases, and present the necessary modifications of the algorithm for the more complicated nonsymmetric case. We describe the parallel implementation of the method and highlight the critical steps of the algorithm that affect the performance and scalability. The parallel implementation is then tested on benchmark problems in 2D and 3D and its efficiency is investigated on various meshes. The numerical results indicate that the method preserves good computational efficiency for increasing number of processes and, therefore, allows solving problems on very fine meshes. In the case of unsteady problem, additional speed-up is achieved using the information from previous time steps for the solution in the current time step.

Název v anglickém jazyce

BDDC for MHFEM discretization of unsteady two-phase flow in porous media

Popis výsledku anglicky

This work deals with the application of the Balancing Domain Decomposition by Constrains (BDDC) method to unsteady two-phase flow problems in porous media. We briefly describe the spatial discretization of the problem which is based on the mixed-hybrid finite element method (MHFEM) and semi-implicit time discretization. Then, we describe the BDDC method, in detail discuss the differences between the symmetric and nonsymmetric cases, and present the necessary modifications of the algorithm for the more complicated nonsymmetric case. We describe the parallel implementation of the method and highlight the critical steps of the algorithm that affect the performance and scalability. The parallel implementation is then tested on benchmark problems in 2D and 3D and its efficiency is investigated on various meshes. The numerical results indicate that the method preserves good computational efficiency for increasing number of processes and, therefore, allows solving problems on very fine meshes. In the case of unsteady problem, additional speed-up is achieved using the information from previous time steps for the solution in the current time step.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

Kód důvěrnosti údajů

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

Název periodika

Computer Physics Communications

ISSN

0010-4655

e-ISSN

1879-2944

Svazek periodika

271

Číslo periodika v rámci svazku

February

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

14

Strana od-do

108199

Kód UT WoS článku

000720461800002

EID výsledku v databázi Scopus

2-s2.0-85117612876