Central-moments-based lattice Boltzmann scheme for coupled Cahn-Hilliard-Navier-Stokes equations
Fluid Dynamics
2018-04-02 v1 Computational Physics
Abstract
In this paper, we propose a lattice Boltzmann (LB) model to solve the coupled Cahn-Hilliard-Navier-Stokes equations. Differently from previous efforts, the LB equation for the fluid velocity is decomposed in a space of non-orthogonal central moments where the surface tension force is inserted directly in the equilibrium state. The present scheme is validated against well-consolidated benchmark tests, showing very good accuracy. Moreover, it outperforms the BGK approach in terms of stability, as our algorithm allows us to simulate a very large range of viscosity contrast.
Keywords
Cite
@article{arxiv.1803.11345,
title = {Central-moments-based lattice Boltzmann scheme for coupled Cahn-Hilliard-Navier-Stokes equations},
author = {Alessandro De Rosis and Shimpei Saito and Akiko Kaneko and Yutaka Abe},
journal= {arXiv preprint arXiv:1803.11345},
year = {2018}
}
Comments
7 pages, 8 figures