29th European Conference on Liquid Atomization and Spray Systems Paris 2-4 Sep 2019
A novel consistent momentum-conserving subgrid method for high density-ratio liquid-gas flows using the Volume-of-Fluid method for staggered grids
Stéphane Zaleski  1@  , Daniel Fuster  2, *@  , Sagar Pal  3@
1 : Institut Jean Le Rond d'Alembert  ($\partial$'Alembert)  -  Website
UPMC, CNRS
2 : CNRS (UMR 7190), Univ. Pierre et Marie Curie, Institut Jean le Rond d'Alembert
CNRS : UMR7190, Université Pierre et Marie Curie - Paris 6
3 : CNRS (UMR 7190), Univ. Pierre et Marie Curie, Institut Jean le Rond d'Alembert
CNRS : UMR7190, Sorbonne Université : UMR7190
4 place Jussieu 75005 Paris -  France
* : Corresponding author

In this study we present a numerical method for the simulation of high density-ratio interfacial flows using a VOF methodology. We use the conservative formulation of the Navier-Stokes equations in order to ensure consistency between the discrete transport of mass and momentum. This strategy is implemented on a uniform cartesion grid, with a staggered configuration, where mass advection is carried out on a grid twice finer than that for momen- tum(velocity). Implementation is in the spirit of Rudman (1998) ([1]), coupled with the Weymouth-Yue ([9]) algorithm (JCP 2010) for direction-split time integration, resulting in discrete mass and momentum conservation to machine accuracy in 3D. Several flow configurations are presented which demonstrate the robustess and stability of the solver, coupled with qualitative and quantitative comparisons in respect to certain benchmarchs.