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 …

In the present work, an accurate and robust solution methodology based on the high-order
weighted essentially non-oscillatory (WENO) finite-difference lattice Boltzmann method …

Bioinspired grooved surface structure design has been widely used as an efficient passive
flow control method in drag reduction. The total drag of plate with grooved surface structure …

In this paper, a high-order implicit-explicit flux reconstruction lattice Boltzmann method
(FRLBM) is proposed for simulating viscous incompressible flows. The discrete velocity …

In this work, a central difference unstructured finite volume lattice Boltzmann method
(FVLBM) in an arbitrary Lagrangian–Eulerian (ALE) framework is applied to effectively …

The lattice Boltzmann method is a modern approach to simulate fluid flow. In its original
formulation, it is restricted to regular grids, second-order discretizations, and a unity CFL …

The application of grooved surface structure is an emerging and effective means in
turbulence flow control. However, for a realistic configuration, the global flow field described …

In this work, a preconditioned high-order weighted essentially non-oscillatory (WENO) finite-
difference lattice Boltzmann method (WENO-LBM) is applied to deal with the incompressible …

In the present work, the spectral difference lattice Boltzmann method (SDLBM) is
implemented on unstructured meshes for the solution methodology to be capable of …

The objective of this study is to develop and apply an arbitrary Lagrangian-Eulerian
unstructured finite-volume lattice-Boltzmann method (ALE-FVLBM) for solving two …