This paper presents a high-order generalized differential quadrature method with lattice
Boltzmann flux solver (LBFS-GDQ) for simulating incompressible isothermal flows. In this …

We present a systematic procedure for the construction of relativistic lattice Boltzmann
models (R-SLB) appropriate for the simulation of flows of massless particles. Quadrature …

In this work, a high-order upwind compact finite-difference lattice Boltzmann method
(UCDLBM) is developed to efficiently solve viscous incompressible flow problems. A fifth …

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 …

Off-lattice Boltzmann methods increase the flexibility and applicability of lattice Boltzmann
methods by decoupling the discretizations of time, space, and particle velocities. However …

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 paper, based on the double distribution function (DDF) model and the Boussinesq
approximation, a high-order implicit-explicit flux reconstruction thermal lattice Boltzmann …

In this paper, a novel high-order solver using the flux reconstruction (FR) method and the
lattice Boltzmann flux solver (LBFS) is proposed for accurately and efficiently simulating …

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

An efficient third-order discrete unified gas kinetic scheme (DUGKS) is presented in this
paper for simulating continuum and rarefied flows. By employing a two-stage time-stepping …