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Non-intrusive reduced-order modeling for multiphase porous media flows using Smolyak sparse grids

Dunhui Xiao Orcid Logo, Zhi Lin, Fangxin Fang, Christopher C. Pain, Ionel M. Navon, Pablo Salinas, Ann Muggeridge

International Journal for Numerical Methods in Fluids, Volume: 83, Issue: 2, Pages: 205 - 219

Swansea University Author: Dunhui Xiao Orcid Logo

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DOI (Published version): 10.1002/fld.4263

Abstract

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 thi...

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Published in: International Journal for Numerical Methods in Fluids
ISSN: 0271-2091
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa46454
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Abstract: 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.
College: Faculty of Science and Engineering
Issue: 2
Start Page: 205
End Page: 219