Fluid-structure interaction (FSI) is a very common physical phenomenon which extensively
exists in nature, human daily life and many engineering applications. The lattice Boltzmann …

This review summarizes the rigorous mathematical theory behind the lattice Boltzmann
equation (LBE). Relevant properties of the Boltzmann equation and a derivation of the LBE …

A three-dimensional twenty-seven (D3Q27) discrete velocity multiple-relaxation-time lattice
Boltzmann method is developed. The proposed scheme is validated in fully developed …

A lattice Boltzmann method (LBM) with enhanced stability and accuracy is presented for
various Hermite tensor-based lattice structures. The collision operator relies on a …

Galilean invariance is a fundamental property; however, although the dynamics of lattice
Boltzmann equation in the hydrodynamic limit is Galilean invariant, this property is usually …

The simulation of viscoelastic fluids is a challenging task from the theoretical and numerical
points of view. This class of fluids has been extensively studied with the help of classical …

The lattice Boltzmann method (LBM) is known to suffer from stability issues when the
collision model relies on the BGK approximation, especially in the zero viscosity limit and for …

A recently introduced theory of higher-order lattice Boltzmann models [Chikatamarla and
Karlin, Phys. Rev. Lett. 97, 190601 (2006)] is elaborated in detail. A general theory of the …

In a recent work [A. De Rosis, R. Huang, and C. Coreixas,“Universal formulation of central-
moments-based lattice Boltzmann method with external forcing for the simulation of …

Mathematical Modeling for Complex Fluids and Flows provides researchers and
engineering practitioners encountering fluid flows with state-of-the-art knowledge in …