Richard O. Buckius

TL;DR: In this paper, a hydrodynamic boundary condition is developed to replace the heuristic bounce-back boundary condition used in the majority of lattice Boltzmann simulations, which is applied to the two-dimensional, steady flow of an incompressible fluid between two parallel plates.

TL;DR: In this article, the bounce-back boundary condition was used to simulate boundaries of cylinders with both circular and octagonal cross-sections, and the convergences of the velocity and total drag associated with this method are slightly sublinear with grid spacing.

TL;DR: In this paper, a truncation error analysis for models based on the lattice Boltzmann (LB) equation is performed, which involves two steps: the recursive application of the LB equation and a Taylor series expansion.

TL;DR: In this article, the geometric optics approximation for radiative scattering from rough surfaces is compared with exact scattering predictions from electromagnetic theory, and the regions of accuracy of the geometric approximation are quantified and presented as a function of surface slope and roughness.

TL;DR: In this paper, the authors extend the two-dimensional, seven-speed Swift et al. model to rectangular grids (nine speeds) by using symbolic manipulation (MathematicaTM) and compare the LB model predictions with benchmark problems, in order to evaluate its merits.