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In this paper, a methodology for modelling two-phase flows based on aconservative level set method in the framework of finite volume method ispresented. The novelty of the interface capturing method used here lies on theadvection of level set which is solved with a WENO scheme and is corrected witha novel re-initialisation method for retaining its signed distance functioncharacter. The coupling with the volume of fluid method is done with a simplealgebraic approach and with the new algorithm the accumulated mass conservationerrors remain reasonably low. The paper presents a unique coupling between thelevel set method and the Eulerian-Lagrangian-Spray-Atomisation approach formodelling spray dispersion in liquid atomisation systems. The method is shownto have good accuracy providing similar results to other numerical codes forthe classical tests presented. Preliminary results are also shown forthree-dimensional simulations of the primary break-up of a turbulent liquid jetobtaining results comparable to direct numerical simulations. Consequently, thecoupled method can be used for simulating various two-phase flow applicationsoffering an accurate representation of the interface dynamics.

A conservative level set method for liquid-gas flows with application in liquid jet atomisation