title: A computational method for sharp interface advection.
abstract: We devise a numerical method for passive advection of a surface, such as the interface between two incompressible fluids, across a computational mesh. The method is called isoAdvector, and is developed for general meshes consisting of arbitrary polyhedral cells. The algorithm is based on the volume of fluid (VOF) idea of calculating the volume of one of the fluids transported across the mesh faces during a time step. The novelty of the isoAdvector concept consists of two parts. First, we exploit an isosurface concept for modelling the interface inside cells in a geometric surface reconstruction step. Second, from the reconstructed surface, we model the motion of the face-interface intersection line for a general polygonal face to obtain the time evolutionwithina time step of the submerged face area. Integrating this submerged area over the time step leads to an accurate estimate for the total volume of fluid transported across the face. The method was tested on simple two-dimensional and three-dimensional interface advection problems on both structured and unstructured meshes. The results are very satisfactory in terms of volume conservation, boundedness, surface sharpness and efficiency. The isoAdvector method was implemented as an OpenFOAM®extension and is published as open source.
authors.affiliation: DHI, Department of Ports and Offshore Technology , Agern Allé 5, 2970 Hørsholm, Denmark.
authors.forename: Johan
authors.identifier: 0000-0002-7254-0546
authors.initials: J
authors.lastname: Roenby
authors.affiliation: Department of Wind Energy , Technical University of Denmark , 2800 Kgs. Lyngby, Denmark.
authors.forename: Henrik
authors.initials: H
authors.lastname: Bredmose
authors.affiliation: University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Ivana Lučića 5, Zagreb, Croatia; Wikki Ltd, 459 Southbank House, SE1 7SJ, London, UK.
authors.forename: Hrvoje
authors.initials: H
authors.lastname: Jasak
keywords: OpenFOAM®; interfacial flows; isoAdvector; unstructured meshes; volume of fluid method