A meshless solution of two dimensional multiphase flow in porous media

Multiphase fluid flow problems are of importance in many disciplines including hydrology and petroleum reservoir engineering. Standard methods such as the finite differences, finite volumes and expanded mixed finite elements methods use very general unstructured grids and need different grid adaptat...

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Bibliographic Details
Published in:Engineering analysis with boundary elements 2016-09, Vol.70, p.12-22
Main Authors: Kovarik, Karel, Masarovicova, Soa, Muzik, Juraj, Sitanyiova, Dana
Format: Article
Language:English
Subjects:
Crude oil
Finite element method
Hydrology
Mathematical analysis
Meshless method
Meshless methods
Multiphase flow
Nonlinearity
Porous media
Radial basis functions
Solute transfer
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Summary:Multiphase fluid flow problems are of importance in many disciplines including hydrology and petroleum reservoir engineering. Standard methods such as the finite differences, finite volumes and expanded mixed finite elements methods use very general unstructured grids and need different grid adaptation strategies to ensure optimal solution of this non-linear problem. The meshless methods seem to be quite a good alternative to these classical mesh-based methods. In our work we used the meshless Petrov–Galerkin local method based on the pressure-saturation formulation.
ISSN:0955-7997
1873-197X
DOI:10.1016/j.enganabound.2016.05.008