Abstract
The paper focuses on modelling free surface flow. The interface is modelled using the Volume-Of-Fluid method, where the advection of volume fractions is treated by a purely geometrical method. The novelty of the work lies in the way that it incorporates Binary Space-Partitioning trees for computing the intersections of polyhedra. Volume-conserving properties and shape-preserving properties are presented on two benchmarks and on a simulation of the famous broken dam problem.
Highlights
Free surface flows appear in a wide range of industrial applications including molten metal production in steel processing [1], resin-infusion processes in structural manufacturing [2], water waves in ship hydrodynamics [3], and fresh concrete casting in civil engineering [4]
The research presented here has dealt with numerical simulations of flow with a free surface
The free surface is handled using the Volume-Of-Fluid method, and the strategy employed for advancing the interface is based on purely geometric algorithms
Summary
Free surface flows appear in a wide range of industrial applications including molten metal production in steel processing [1], resin-infusion processes in structural manufacturing [2], water waves in ship hydrodynamics [3], and fresh concrete casting in civil engineering [4]. The volume fraction f coincides with the characteristic function of the domain occupied by the reference fluid, and can be advected in the same fashion as in the Level Set methods. A different treatment of volume fraction advection has been proposed by Dukowicz and Baumgardner in [16] Their method is based on two simple facts. The main idea behind BSP trees lies in subdividing space into convex sets by hyper-planes This subdivision can be represented by a binary tree structure, which is used in our work for efficient implementation of polyhedra intersections. The VOF-based interface tracking method is presented in detail, covering the interface reconstruction based on volume fraction distribution, a mass conserving interface update using a three step procedure, and description of the BSP algorithm for truncating advected volumes of the representative fluid. The interface tracking technique is presented on the basis of several examples that illustrates its capabilities and its performance
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