In this paper we presented a lattice Boltzmann with square grid for compressible flow problems. Triple level velocity is considered for each cell. Migration step use discrete velocity but continuous parameters are utilized to calculate density, velocity, and energy. So, we called this semi-discrete method. To evaluate the performance of the method the well-known shock tube problem is solved, us...

The classical method for deriving the macroscopic dynamics of a lattice Boltzmann system is to use a combination of different approximations and expansions. Usually a Chapman-Enskog analysis is performed, either on the continuous Boltzmann system, or its discrete velocity counterpart. Separately a discrete time approximation is introduced to the discrete velocity Boltzmann system, to achieve a ...

In pursuit of stable operation in thermal hydraulic engineering, this paper researches two-phase flow through tube bundles by the lattice Boltzmann method. The single-relaxation-time model and multicomponent, multiphase pseudo-potential are adopted. Specifically, past double-tandem circular cylinders, double-parallel in-line staggered with various spacing ratios is investigated. vortex variable...

The lattice Boltzmann method (LBM) has shown its promising capability in simulating microscale gas flows the slip regime. However, suitable boundary condition is still one of critical issues for LBM to model microgaseous involving curved geometries. In this paper, a local proposed treat solid walls flow developed treatment combines Maxwellian diffuse reflection scheme (Ansumali and Karlin, 2002...

The lattice Boltzmann method is a promising approach for modeling single and multicomponent fluid flow in complex geometries like porous materials. Here, we review some of our previous work and discuss some recent developments concerning fluid flow in multiple pore size materials. After presenting some simple test cases to validate the model, results from large scale simulations of single and m...

The recent development of the lattice gas automata method and its extension to the lattice Boltzmann method have provided new computational schemes for solving a variety of partial differential equations and modeling chemically reacting systems. The lattice gas method, regarded as the simplest microscopic and kinetic approach which generates meaningful macroscopic dynamics, is fully parallel an...

Current approaches to Direct Numerical Simulation (DNS) are computationally quite expensive for most realistic scientific and engineering applications of Fluid Dynamics such as automobiles or atmospheric flows. The Lattice Boltzmann Method (LBM), with its simplified kinetic descriptions, has emerged as an important tool for simulating hydrodynamics. In a heterogeneous computing environment, it ...

Abstract The discretized equilibrium distributions of the lattice Boltzmann method are presented by using the coefficients of the Lagrange interpolating polynomials that pass through the points related to discrete velocities and using moments of the Maxwell-Boltzmann distribution. The ranges of flow velocity and temperature providing positive valued distributions vary with regulating discrete v...

We consider the influence of the lattice symmetry and size of the lattice Boltzmann method on the behavior of a pure reaction diffusion system. We show that the effect of the dispersion relation in the diffusion coefficient can be minimized, by tuning the fraction of rest particles and the relaxation parameter. For the reaction, we focus on the Selkov model and study the dynamics of pattern for...