A parallel mixed–hybrid finite element method for two phase flow problems in porous media using MPI

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F17%3A00316927" target="_blank" >RIV/68407700:21340/17:00316927 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
A parallel mixed–hybrid finite element method for two phase flow problems in porous media using MPI
Original language description
This paper deals with a numerical solution of two–phase flow problems in porous media. To solve this type of problems, we propose a numerical method based on mixed–hybrid finite element method. The method is briefly introduced for arbitrary dimension but only a 2D case is considered in this work. We implement several variations of this method using different approaches to solve the resulting system of linear algebraic equations. Direct and iterative solvers are used and a parallel implementation of this method based on the domain decomposition method using MPI (Message Passing Interface) is described. The accuracy and the computational efficiency of the method is verified using a problem with a known exact solution. Numerical experiments show that the errors are similar for all variations of the method. The method is convergent and the experimental order of convergence is slightly less than one. There are differences in the computational time in favor to the iterative solvers, especially when using finer meshes. For computations on fine meshes it is also advantageous to use the parallelism that significantly speeds-up the computation.
Czech name
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Czech description
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Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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