Numerical modeling of two-phase flow with contact discontinuities

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Abstract

When simulating high Reynolds number two-phase flow, boundary layers develop at the interface, which are much thinner compared to the capillary length-scales that are of interest. Resolving such an interface layer is expensive and therefore it is often not resolved in a simulation.Numerically such an under resolved interface layer results in a velocity discontinuity tangential to the interface. We propose to include such tangential velocity discontinuities in our numerical model. This results in a sharp two-fluid model for two-phase flow, where only the interface-normal component of the velocity field is smooth. This condition is implicitly enforced via a new jump condition on the pressure gradient, which we discretize using a multidimensional variant of the ghost fluid method [6].Results are shown of breaking waves [2] as well as (breaking) waves impacting a solid wall [3] where we compare to state-of-the-art methods [3, 4]. We show that our proposed method is able to accurately simulate high Reynolds number two-phase flow without the need for resolving, or artificially thickening,of the interface layer.
Original languageEnglish
Title of host publication14th WCCM ECCOMAS Congress 2020
EditorsF. Chinesta, R. Abgrall, O. Allix, M. Kaliske
Number of pages12
Publication statusPublished - 11-Jan-2021
EventWCCM ECCOMAS Congress 2020 - Virtual Congress, Paris, France
Duration: 11-Jan-202115-Jan-2021
Conference number: 14

Conference

ConferenceWCCM ECCOMAS Congress 2020
Country/TerritoryFrance
CityParis
Period11/01/202115/01/2021

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