Multidimensional mixed-hybrid finite element method for, compositional two-phase flow in heterogeneous porous media and its parallel implementation on GPU

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F19%3A00331675" target="_blank" >RIV/68407700:21340/19:00331675 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.cpc.2018.12.004" target="_blank" >https://doi.org/10.1016/j.cpc.2018.12.004</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cpc.2018.12.004" target="_blank" >10.1016/j.cpc.2018.12.004</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Multidimensional mixed-hybrid finite element method for, compositional two-phase flow in heterogeneous porous media and its parallel implementation on GPU

Popis výsledku v původním jazyce

A general multidimensional numerical scheme, primarily designed to simulate two-phase compositional flow in porous media, is presented with serial and parallel implementations suitable for solving problems with degenerate (capillary) diffusion or capillary barrier effect in heterogeneous porous materials. The numerical scheme is based on the mixed-hybrid finite element method with the semi-implicit approach for the time discretization in order to obtain a system of linear equations in each time step. The scheme is implemented in serial for CPU and in parallel for CPU and GPU using TNL that provides an efficient abstraction layer for accessing various parallel hardware architectures. In order to demonstrate the applicability of the numerical scheme, a numerical analysis is presented for problems of two-phase flow in 1D, 2D, and 3D for which exact (semi-analytical) solutions are known and a series of benchmark problems for two-phase flow in heterogeneous porous media is discussed to show correct simulation of the capillary barrier effect. The efficiency and accuracy of the implementations on CPU and GPU are discussed. Moreover, we construct an analytical solution and use it to demonstrate convergence of the numerical scheme for two-phase compositional flow problems in porous media.

Název v anglickém jazyce

Multidimensional mixed-hybrid finite element method for, compositional two-phase flow in heterogeneous porous media and its parallel implementation on GPU

Popis výsledku anglicky

A general multidimensional numerical scheme, primarily designed to simulate two-phase compositional flow in porous media, is presented with serial and parallel implementations suitable for solving problems with degenerate (capillary) diffusion or capillary barrier effect in heterogeneous porous materials. The numerical scheme is based on the mixed-hybrid finite element method with the semi-implicit approach for the time discretization in order to obtain a system of linear equations in each time step. The scheme is implemented in serial for CPU and in parallel for CPU and GPU using TNL that provides an efficient abstraction layer for accessing various parallel hardware architectures. In order to demonstrate the applicability of the numerical scheme, a numerical analysis is presented for problems of two-phase flow in 1D, 2D, and 3D for which exact (semi-analytical) solutions are known and a series of benchmark problems for two-phase flow in heterogeneous porous media is discussed to show correct simulation of the capillary barrier effect. The efficiency and accuracy of the implementations on CPU and GPU are discussed. Moreover, we construct an analytical solution and use it to demonstrate convergence of the numerical scheme for two-phase compositional flow problems in porous media.

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

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2019

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

238

Číslo periodika v rámci svazku

May

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

16

Strana od-do

165-180

Kód UT WoS článku

000462802800014

EID výsledku v databázi Scopus

2-s2.0-85058790317