Non‐intrusive reduced‐order modeling for multiphase porous media flows using Smolyak sparse grids |
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| Authors: | Dunhui Xiao Zhi Lin Fangxin Fang Christopher C. Pain Ionel M. Navon Pablo Salinas Ann Muggeridge |
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| Affiliation: | 1. Applied Modelling and Computation Group, Department of Earth Science and Engineering, Imperial College London, London, UK;2. China University of Geosciences, Wuhan, China;3. Zhejiang University, Hangzhou, China;4. Department of Scientific Computing, Florida State University, Tallahassee, FL, USA;5. Department of Earth Science and Engineering, Imperial College London, London, UK |
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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. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | non‐intrusive Smolyak sparse grid POD multiphase porous media |
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