We present the first top-down ansatz for constructing lattice Boltzmann methods (LBM) in d dimensions. In particular, we construct a relaxation system (RS) given scalar, linear, d-dimensional advection–diffusion equation. Subsequently, RS is linked to discrete velocity model (DVBM) on zeroth and energy shell. Algebraic characterizations of equilibrium, moment space, collision operator are carri...

Owing to its efficiency and aptitude for a massive parallelization, the lattice Boltzmann method generally outperforms conventional solvers in terms of execution time weakly-compressible flows. However, authorized time-step (being inversely proportional speed sound) becomes prohibitively small incompressible limit, so that performance advantage over continuum-based vanishes. A remedy increase i...

Large eddy simulations LES based on the Smagorinsky model can be conveniently used in the lattice Boltzmann method LBM because the strain rate tensor, Sij , used to determine the eddy kinematic viscosity can be calculated from the second-order moment of the nonequilibrium distribution function, and the current total nondimensional relaxation time can be determined explicitly. A new method is de...

in this study, we proposed a novel scheme for the implementation of the no-slip boundary condition in thelattice boltzmann method (lbm) . in detail , we have substituted the classical bounce-back idea by the direct immersed boundary specification . in this way we construct the equilibrium density functions in such a way that it feels the no-slip boundaries . therefore , in fact a kind of equili...