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

Result code in 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>
Alternative codes found
RIV/68407700:21240/22:00359770 RIV/68407700:21340/22:00359770
Result on the web
<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>

Result language
angličtina
Original language name
BDDC for MHFEM discretization of unsteady two-phase flow in porous media
Original language description
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.
Czech name
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Czech description
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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

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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