Multidimensional mixed-hybrid finite element method for, compositional two-phase flow in heterogeneous porous media and its parallel implementation on GPU
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Multidimensional mixed-hybrid finite element method for, compositional two-phase flow in heterogeneous porous media and its parallel implementation on GPU
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Computer Physics Communications
ISSN
0010-4655
e-ISSN
1879-2944
Volume of the periodical
238
Issue of the periodical within the volume
May
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
16
Pages from-to
165-180
UT code for WoS article
000462802800014
EID of the result in the Scopus database
2-s2.0-85058790317