We introduce a lattice Boltzmann computational scheme capable of modeling ther-mohydrodynamic flows of monatomic gases. The parallel nature of this approach provides a numerically efficient alternative to traditional methods of computational fluid dynamics. The scheme uses a small number of discrete velocity states and a linear, single-time-relaxation collision operator. Numerical simulations i...

Several applications exist in which lattice Boltzmann methods (LBM) are used to compute stationary states of fluid motions, particularly those driven or modulated by external forces. Standard LBM, being explicit time-marching in nature, requires a long time to attain steady state convergence, particularly at low Mach numbers due to the disparity in characteristic speeds of propagation of differ...

In this paper, an approach to simulating magnetohydrodynamic (MHD) flows based on the lattice Boltzmann method (LBM) is presented. The dynamics of the flow are simulated using a so-called multiple relaxation time (MRT) lattice Boltzmann equation (LBE), in which a source term is included for the Lorentz force. The evolution of the magnetic induction is represented by introducing a vector distrib...

The Lattice Boltzmann Method (LBM) was used for simulation of a gas flow and conjugate heat transfer in fixed packed beds with solid particles inside. D2Q9 version of the Factorized Central Moment (FCMLBM) is used for a gas flow computation. Heating transfer in the bed is described by second distribution function set and multiple relaxation time lattice Boltzmann method (DDF MRT LBM) is used. N...

We propose a two-population lattice Boltzmann model on standard lattices for the simulation of compressible flows. The is fully on-lattice and uses single relaxation time Bhatnagar–Gross–Krook kinetic equations along with appropriate correction terms to recover Navier–Stokes–Fourier equations. accuracy performance are analyzed through simulations benchmark cases including Sod shock tube, sound ...

We study a multiple relaxation time lattice Boltzmann model for natural convection with moment–based boundary conditions. The unknown primary variables of the algorithm at a boundary are found by imposing conditions directly upon hydrodynamic moments, which are then translated into conditions for the discrete velocity distribution functions. The method is formulated so that it is consistent wit...

In this paper, we test the numerical properties of several variants lattice Boltzmann method (LBM) for simulating shallow water flows. Specifically, perform a systematic comparison five different schemes: (i) single-relaxation-time LBM, (ii) raw-moments-based and (iii) central-moments-based multiple-relaxation-time LBMs, (iv) two-stages (v) one-stage simplified LBMs. Concerning latter, traditio...

A graphic processing unit GPU implementation of the multicomponent lattice Boltzmann equation with multirange interactions for soft-glassy materials “glassy” lattice Boltzmann LB is presented. Performance measurements for flows under shear indicate a GPU/CPU speed up in excess of 10 for 10242 grids. Such significant speed up permits to carry out multimillion time-steps simulations of 10242 grid...