title: Lattice Boltzmann equation method for the Cahn-Hilliard equation.
abstract: In this paper a lattice Boltzmann equation (LBE) method is designed that is different from the previous LBE for the Cahn-Hilliard equation (CHE). The starting point of the present CHE LBE model is from the kinetic theory and the work of Lee and Liu [T. Lee and L. Liu, J. Comput. Phys. 229, 8045 (2010)]; however, because the CHE does not conserve the mass locally, a modified equilibrium density distribution function is introduced to treat the diffusion term in the CHE. Numerical simulations including layered Poiseuille flow, static droplet, and Rayleigh-Taylor instability have been conducted to validate the model. The results show that the predictions of the present LBE agree well with the analytical solution and other numerical results.
authors: School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing 210094, People's Republic of China.
authors: Lin
authors: L
authors: Zheng
authors: School of Mathematics and Statistics, Zhejiang University of Finance and Economics, Hangzhou Zhejiang 310018, People's Republic of China.
authors: Song
authors: S
authors: Zheng
authors: School of Economics Management and Law, Chaohu University, Chaohu 238000, People's Republic of China.
authors: Qinglan
authors: Q
authors: Zhai