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Robust Conservative Level Set Method for 3D Mixed-Element Meshes — Application to LES of Primary Liquid-Sheet Breakup

Published online by Cambridge University Press:  03 June 2015

Thibault Pringuey and
R. Stewart Cant
Thibault Pringuey*
Affiliation:
CFD Laboratory, Department of Engineering, University of Cambridge, UK
R. Stewart Cant
Affiliation:
CFD Laboratory, Department of Engineering, University of Cambridge, UK
*
*Corresponding author.Email:tp299@cam.ac.uk
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Abstract

In this article we detail the methodology developed to construct an efficient interface description technique — the robust conservative level set (RCLS) — to simulate multiphase flows on mixed-element unstructured meshes while conserving mass to machine accuracy. The approach is tailored specifically for industry as the three-dimensional unstructured approach allows for the treatment of very complex geometries. In addition, special care has been taken to optimise the trade-off between accuracy and computational cost while maintaining the robustness of the numerical method. This was achieved by solving the transport equations for the liquid volume fraction using a WENO scheme for polyhedral meshes and by adding a flux-limiter algorithm. The performance of the resulting method has been compared against established multiphase numerical methods and its ability to capture the physics of multiphase flows is demonstrated on a range of relevant test cases. Finally, the RCLS method has been applied to the simulation of the primary breakup of a flat liquid sheet of kerosene in co-flowing high-pressure gas. This quasi-DNS/LES computation was performed at relevant aero-engine conditions on a three-dimensional mixed-element unstructured mesh. The numerical results have been validated qualitatively against theoretical predictions and experimental data. In particular, the expected breakup regime was observed in the simulation results. Finally, the computation reproduced faithfully the breakup length predicted by a correlation based on experimental data. This constitutes a first step towards a quantitative validation.

Keywords

65M0876-0476N99Multiphase flowlevel set methodflux limiterMULESWENO schemethree-dimensionalunstructured meshmixed elementconservative methodatomisationprimary breakupflat sheet breakup.

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Type
Research Article
Information
Communications in Computational Physics , Volume 16 , Issue 2 , August 2014, pp. 403 - 439
Copyright
Copyright © Global Science Press Limited 2014

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