@article{Klein2019, 
author = {Markus Klein and S. Ketterl and J. Hasslberger},
title = {Large eddy simulation of multiphase flows using the volume of fluid method: Part 1—Governing equations and a priori analysis},
year = {2019},
journal = {Experimental and Computational Multiphase Flow},
volume = {1},
number = {2},
pages = {130-144},
keywords = {two-phase flow LES, governing equations, filtering, Favre filtering, volume averaging, a priori analysis},
url = {https://www.sciopen.com/article/10.1007/s42757-019-0019-9},
doi = {10.1007/s42757-019-0019-9},
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.}
}