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Towards non-intrusive reduced order 3D free surface flow modelling

D. Xiao, F. Fang, C.C. Pain, I.M. Navon, Dunhui Xiao Orcid Logo

Ocean Engineering, Volume: 140, Pages: 155 - 168

Swansea University Author: Dunhui Xiao Orcid Logo

Abstract

In this article, we describe a novel non-intrusive reduction model for three-dimensional (3D) free surface flows. However, in this work we limit the vertical resolution to be a single element. So, although it does resolve some non-hydrostatic effects, it does not examine the application of reduced m...

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Published in: Ocean Engineering
ISSN: 0029-8018
Published: 2017
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa46455
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Abstract: In this article, we describe a novel non-intrusive reduction model for three-dimensional (3D) free surface flows. However, in this work we limit the vertical resolution to be a single element. So, although it does resolve some non-hydrostatic effects, it does not examine the application of reduced modelling to full 3D free surface flows, but it is an important step towards 3D modelling. A newly developed non-intrusive reduced order model (NIROM) (Xiao et al., 2015a) has been used in this work. Rather than taking the standard POD approach using the Galerkin projection, a Smolyak sparse grid interpolation method is employed to generate the NIROM. A set of interpolation functions is constructed to calculate the POD coefficients, where the POD coefficients at previous time steps are the inputs of the interpolation function. Therefore, this model is non-intrusive and does not require modifications to the code of the full system and is easy to implement.
Start Page: 155
End Page: 168