Recent developments of meshfree and particle methods and their applications in applied
mechanics are surveyed. Three major methodologies have been reviewed. First, smoothed …

Since many years food engineers have attempted to describe physical phenomena such as
heat and mass transfer that occur in food during unit operations by means of mathematical …

Meshfree Particle Methods is a comprehensive and systematic exposition of particle
methods, meshfree Galerkin and partitition of unity methods, molecular dynamics methods …

A lattice Boltzmann model with a multiple-relaxation-time (MRT) collision operator for the
convection–diffusion equation is presented. The model uses seven discrete velocities in …

We extend lattice Boltzmann (LB) methods to advection and anisotropic-dispersion
equations (AADE). LB methods are advocated for the exactness of their conservation laws …

A comparison study between the two most popular lattice Boltzmann (LB) models–D2Q5
and D2Q9 in two dimensions with five and nine discrete lattice velocities, respectively–for …

A lattice Boltzmann model for convection-diffusion equation with nonlinear convection and
isotropic-diffusion terms is proposed through selecting equilibrium distribution function …

We propose a lattice Boltzmann (LB) model for the convection-diffusion equation (CDE) and
show that the CDE can be recovered correctly from the model by the Chapman-Enskog …

In this paper, based on the previous work (Shi and Guo in Phys Rev E 79: 016701, 2009),
we develop a multiple-relaxation-time (MRT) lattice Boltzmann model for general nonlinear …

Advection-diffusion processes can be simulated by the Lattice Boltzmann method. Two
formulations have been proposed in the literature. We show that they are not fully correct …