A lattice Boltzmann approach for free-surface-flow simulations on non-uniform block-structured grids

Authors:
Christian Janssen;Manfred Krafczyk
Affiliations:
Institute for Computational Modeling in Civil Engineering, Technische Universität Braunschweig, Braunschweig, Germany;Institute for Computational Modeling in Civil Engineering, Technische Universität Braunschweig, Braunschweig, Germany
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

In this paper, we present a hybrid volume-of-fluid-based algorithm for the simulation of free-surface-flow problems. For the solution of the flow field, the lattice Boltzmann method is used. The additional advection equation for the volume-of-fluid (VOF) fill level is discretized with a classical finite volume method. For the interface reconstruction, a piecewise linear interface reconstruction in 3D has been implemented. The free-surface-tracking algorithm is embedded into the 3D, non-uniform, lattice-Boltzmann-based solver VirtualFluids; Freudiger et al. (2009) [1], Freudiger (2009) [2]. The advection algorithm is verified and validated with well-known advection test cases. For the validation of the free-surface algorithm, we present simulations of a breaking-dam benchmark.