Boundary Conditions for Free Interfaces with the Lattice Boltzmann Method
Numerical Analysis
2015-09-29 v2 Fluid Dynamics
Abstract
In this paper we analyze the boundary treatment of the lattice Boltzmann method (LBM) for simulating 3D flows with free surfaces. The widely used free surface boundary condition of K\"orner et al. (2005) is shown to be first order accurate. The article presents a new free surface boundary scheme that is suitable for second order accurate simulations based on the LBM. The new method takes into account the free surface position and its orientation with respect to the computational lattice. Numerical experiments confirm the theoretical findings and illustrate the different behavior of the original method and the new method.
Cite
@article{arxiv.1409.5645,
title = {Boundary Conditions for Free Interfaces with the Lattice Boltzmann Method},
author = {Simon Bogner and Regina Ammer and Ulrich Rüde},
journal= {arXiv preprint arXiv:1409.5645},
year = {2015}
}
Comments
Preprint submitted to Elsevier