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BDDC for MHFEM discretization of unsteady two-phase flow in porous media
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SYSNO ASEP 0547534 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název BDDC for MHFEM discretization of unsteady two-phase flow in porous media Tvůrce(i) Solovský, J. (CZ)
Fučík, R. (CZ)
Šístek, Jakub (MU-W) RID, ORCID, SAIČíslo článku 108199 Zdroj.dok. Computer Physics Communications. - : Elsevier - ISSN 0010-4655
Roč. 271, February (2022)Poč.str. 14 s. Jazyk dok. eng - angličtina Země vyd. NL - Nizozemsko Klíč. slova BDDC ; domain decomposition ; mixed-hybrid finite element method ; porous media Vědní obor RIV BA - Obecná matematika Obor OECD Applied mathematics Způsob publikování Omezený přístup Institucionální podpora MU-W - RVO:67985840 UT WOS 000720461800002 EID SCOPUS 85117612876 DOI 10.1016/j.cpc.2021.108199 Anotace 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. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2023 Elektronická adresa https://doi.org/10.1016/j.cpc.2021.108199
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