In this paper, a comparative study of the lattice Boltzmann (LB) models for the Allen-Cahn
(AC) and Cahn-Hilliard (CH) equations is conducted. To this end, a new LB model for the AC …

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 …

Abstract The Cahn-Hilliard equation (CHE) is widely used in modeling two-phase fluid flows,
and it is critical to solve this equation accurately to track the interface between the two …

In this work, we present an alternative derivation of the Navier-Stokes equations from
Bhatnagar-Gross-Krook models of the lattice Boltzmann method with diffusive scaling. This …

In this paper, a general lattice Boltzmann (LB) model is proposed for the high-order
nonlinear partial differential equation with the form∂ t ϕ+∑ k= 1 m α k∂ xk Π k (ϕ)= 0 (1≤ …

The primary and key task of binary fluid flow modeling is to track the interface with good
accuracy, which is usually challenging due to the sharp-interface limit and numerical …

The forcing term in the lattice Boltzmann equation (LBE) is usually used to mimic Navier-
Stokes equations with a body force. To derive axisymmetric model, forcing terms are …

We propose using the Maxwell iteration to derive the hydrodynamic equations from the
lattice Boltzmann equation (LBE) with an external forcing term. The proposed methodology …

In this article we analyze the lattice Boltzmann equation (LBE) by using the asymptotic
expansion technique. We first relate the LBE to the finite discrete-velocity model (FDVM) of …

This paper proposes a new boundary condition which conserves mass exactly and exhibits
a faster convergence than the halfway bounce-back in a Poiseuille flow. This boundary …