This paper investigates a volume tracking algorithm on triangular meshes, associated with modeling free surface flow and multi phase flow on complex geometry. The volume tracking algorithm is divided into two main tasks. First, a piecewise linear reconstructing the interface is used to approximate the interface at each interfacial cell with a segment line. The convergence study of this approach reveals first order accuracy in reproducing a circular material distribution. Second, a Lagrangian time integration accompanied by a full remap is carried out in order to advect volume material in time. A circular material distribution is tested under simple translation and rotation. Visualization of results shows that the circular shape is conserved while first order accuracy is observed.
Volume Tracking on Triangular Meshes
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Shahbazi, K, Paraschivoiu, M, & Mostaghimi, J. "Volume Tracking on Triangular Meshes." Proceedings of the ASME 2002 Joint U.S.-European Fluids Engineering Division Conference. Volume 1: Fora, Parts A and B. Montreal, Quebec, Canada. July 14–18, 2002. pp. 743-749. ASME. https://doi.org/10.1115/FEDSM2002-31130
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