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Non‐intrusive reduced‐order modeling for multiphase porous media flows using Smolyak sparse grids
Author(s) -
Xiao Dunhui,
Lin Zhi,
Fang Fangxin,
Pain Christopher C.,
Navon Ionel M.,
Salinas Pablo,
Muggeridge Ann
Publication year - 2016
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.4263
Subject(s) - multiphase flow , porous medium , sparse grid , computer science , polygon mesh , finite volume method , computational science , algorithm , porosity , materials science , mechanics , physics , computer graphics (images) , composite material
Summary In this article, we describe a non‐intrusive reduction method for porous media multiphase flows using Smolyak sparse grids. This is the first attempt at applying such an non‐intrusive reduced‐order modelling (NIROM) based on Smolyak sparse grids to porous media multiphase flows. The advantage of this NIROM for porous media multiphase flows resides in that its non‐intrusiveness, which means it does not require modifications to the source code of full model. Another novelty is that it uses Smolyak sparse grids to construct a set of hypersurfaces representing the reduced‐porous media multiphase problem. This NIROM is implemented under the framework of an unstructured mesh control volume finite element multiphase model. Numerical examples show that the NIROM accuracy relative to the high‐fidelity model is maintained, whilst the computational cost is reduced by several orders of magnitude. Copyright © 2016 John Wiley & Sons, Ltd.