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Research Article

Large eddy simulation of multiphase flows using the volume of fluid method: Part 1—Governing equations and a priori analysis

Markus Klein( )S. KetterlJ. Hasslberger
Department of Aerospace Engineering, Bundeswehr University Munich, Werner-Heisenberg-Weg 39, 85577 Neubiberg, Germany
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Abstract

Compared to Large Eddy Simulation (LES) of single-phase flows, which has become a mature and viable turbulence modelling technique, the LES of two-phase flows with moving immiscible interfaces is at a rather early development stage. There is no standard set of governing equations for two-phase flow LES, but rather a variety of different formulations, all with advantages and disadvantages. This paper discusses and analyses in detail the governing equations for two-phase flow LES in the context of the Volume of Fluid method, as well as suitable Subgrid Scale closures for the different unknown terms. A particular focus is on the Favre filtered one fluid formulation of the momentum equations, but a comparison with the filtered and the volume averaged version of the balance equations is made as well. Differences and commonalities between the different approaches are discussed and, based on a priori analysis of explicitly filtered Direct Numerical Simulation data, suitable closure models for a posteriori analysis are identified.

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Experimental and Computational Multiphase Flow
Pages 130-144
Cite this article:
Klein M, Ketterl S, Hasslberger J. Large eddy simulation of multiphase flows using the volume of fluid method: Part 1—Governing equations and a priori analysis. Experimental and Computational Multiphase Flow, 2019, 1(2): 130-144. https://doi.org/10.1007/s42757-019-0019-9

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Received: 27 February 2019
Revised: 29 March 2019
Accepted: 30 March 2019
Published: 02 May 2019
© Tsinghua University Press 2019
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