Over the past few decades, tremendous progress has been made in the development of
particle-based discrete simulation methods versus the conventional continuum-based …

在自然界和工程物理领域存在大量的非平衡, 多相等复杂系统和复杂行为. Lattice Boltzmann
(LB) 方法起源于复杂系统复杂行为研究的格子气或元胞自动机模型; 其中, 现代版的Lattice …

In this paper, a general propagation lattice Boltzmann model for variable-coefficient non-
isospectral Korteweg–de Vries (vc-nKdV) equation, which can describe the interfacial waves …

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≤ …

In this paper, in order to extend the lattice Boltzmann method to deal with more complicated
nonlinear equations, we propose a 1D lattice Boltzmann scheme with an amending function …

Dynamic and thermodynamic behaviors of associating fluids play a crucial role in various
science and engineering disciplines. Cubic plus association equation of state (CPA EOS) is …

A new lattice Boltzmann model based on SC model, is proposed to describe the liquid-vapor
phase transitions. The new model is validated through the simulation of the one-component …

This paper establishes a lattice Boltzmann method (LBM) with two amending functions for
solving partial differential equations (PDEs) arising in Asian and lookback options pricing …

In the paper, a system of hyperbolic linear Bhatnagar–Gross–Krook equations with single
relaxation time for simulation of linear diffusion is presented. The lattices based on …

It is crucial to properly describe the associating fluids in terms of phase equilibrium
behaviors, which are needed for design, operation, and optimization of various chemical …