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A particle method for two-phase flows with compressible air pocket

M. Luo, C. G. Koh, W. Bai, M. Gao, Min Luo Orcid Logo

International Journal for Numerical Methods in Engineering, Volume: 108, Issue: 7, Pages: 695 - 721

Swansea University Author: Min Luo Orcid Logo

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DOI (Published version): 10.1002/nme.5230

Abstract

When using particle methods to simulate water-air flows with compressible air pockets, a major challenge is to deal with the large differences in physical properties (e.g. density and viscosity) between water and air. In addition, the accurate modelling of air compressibility is essential. To this e...

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Published in: International Journal for Numerical Methods in Engineering
ISSN: 0029-5981
Published: 2016
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa36810
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Abstract: When using particle methods to simulate water-air flows with compressible air pockets, a major challenge is to deal with the large differences in physical properties (e.g. density and viscosity) between water and air. In addition, the accurate modelling of air compressibility is essential. To this end, a new two-phase strategy is proposed to simulate incompressible and compressible fluids simultaneously without iterations between the solvers for incompressible and compressible flows. Water is modeled by the recently developed 2-phase Consistent Particle Method (2P-CPM) for incompressible flows. For air modeling, a new compressible solver is proposed based on the ideal gas law and thermodynamics. The formulation avoids the problem of determining the actual sound speed which is dependent on the temperature and is therefore not necessarily constant. In addition, the compressible air solver is seamlessly integrated with the incompressible solver 2P-CPM because they both use the same predictor-corrector scheme to solve the governing equations. The performance of the proposed method is demonstrated by three benchmark problems as well as an experimental study of sloshing impact with entrapped air pockets in an oscillating tank.
Keywords: compressibility; two-phase flow; air pocket; polytropic gas law; particle method
College: Faculty of Science and Engineering
Issue: 7
Start Page: 695
End Page: 721