Imperial College London
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DrFangxinFang

Faculty of Engineering, Department of Earth Science & Engineering

Senior Research Fellow
 
 
 
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Contact

 

+44 (0)20 7594 1912f.fang

 
 
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Location

 

4.90Royal School of MinesSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Xiao:2019:10.1016/j.cma.2019.05.039,
author = {Xiao, D and Fang, F and Heaney, CE and Navon, IM and Pain, CC},
doi = {10.1016/j.cma.2019.05.039},
journal = {Computer Methods in Applied Mechanics and Engineering},
pages = {307--330},
title = {A domain decomposition method for the non-intrusive reduced order modelling of fluid flow},
url = {http://dx.doi.org/10.1016/j.cma.2019.05.039},
volume = {354},
year = {2019}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - In this paper we present a new domain decomposition non-intrusive reduced order model (DDNIROM) for the Navier–Stokes equations. The computational domain is partitioned into subdomains and a set of local basis functions is constructed in each subdomain using Proper Orthogonal Decomposition (POD). A radial basis function (RBF) method is then used to generate a set of hypersurfaces for each subdomain. Each local hypersurface represents, not only the fluid dynamics over the subdomain to which it belongs, but also the interactions with the surrounding subdomains. This implicit coupling between the subdomains provides the global coupling necessary to enforce incompressibility and is a means of providing boundary conditions for each subdomain.The performance of this DDNIROM is illustrated numerically by three examples: flow past a cylinder, and air flow over 2D and 3D street canyons. The results show that the DDNIROM exhibits good agreement with the high-fidelity full model while the computational cost is reduced by several orders of magnitude. The domain decomposition (DD) method provides the flexibility to choose different numbers of local basis functions for each subdomain depending on the complexity of the flow therein. The fact that the RBF surface representation takes input only from its current subdomain and the surrounding subdomains, means that, crucially, there is a reduction in the dimensionality of the hypersurface when compared with a more traditional, global NIROM. This comes at the cost of having a larger number of hypersurfaces.
AU  - Xiao,D
AU  - Fang,F
AU  - Heaney,CE
AU  - Navon,IM
AU  - Pain,CC
DO  - 10.1016/j.cma.2019.05.039
EP  - 330
PY  - 2019///
SN  - 0045-7825
SP  - 307
TI  - A domain decomposition method for the non-intrusive reduced order modelling of fluid flow
T2  - Computer Methods in Applied Mechanics and Engineering
UR  - http://dx.doi.org/10.1016/j.cma.2019.05.039
UR  - http://hdl.handle.net/10044/1/70185
VL  - 354
ER  -
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