In this paper, an incompressible two-dimensional (2-D) and threedimensional (3-D) thermohydrodynamics for the lattice Boltzmann scheme are developed. The basic idea is to solve the velocity field and the temperature field using two different distribution functions. A derivation of the lattice Boltzmann scheme from the continuous Boltzmann equation for 2-D is discussed in detail. By using the sa...

The Lattice Boltzmann method is a novel method used in lieu of the traditionally used Navier-Strokes equation for the simulation of fluid flows. In our paper, we discuss how we implemented a hybrid (OpenMP/MPI) parallel Lattice Boltzmann application based on an existing MPI-only version. Then we use two multicore systems – Hydra IBM p5575 from Texas A&M and Dori from Virginia Tech – to collect ...

Here we review a hybrid lattice Boltzmann algorithm to solve the equations of motion of cholesteric liquid crystals. The method consists in coupling a lattice Boltzmann solver for the Navier-Stokes equation to a finite difference method to solve the dynamical equations governing the evolution of the liquid crystalline order parameter. We apply this method to study the growth of cholesteric blue...

The simplest and most efficient lattice Boltzmann model that is able to recover the Navier-Stokes equations is based on a single-parameter scattering matrix, where the parameter is the first nonzero eigenvalue of the collision matrix. This simple model, based on a single relaxation time, has many shortcomings. Among these is the lack of freedom to extend the model to complex fluids whose stress...

Lattice Boltzmann method is relatively new method in the field of computational fluid dynamics. It has been derived from lattice gas automata and is still under development. Basic steps of the LBM (collision, streaming, boundary conditions, macroscopic quantities) will be presented. Comparison with the finite difference method that uses Navier-Stokes equation on a lid driven cavity benchmark te...

In this work, we solve the one-dimensional nonlinear logarithmic diffusion equation using a lattice-Boltzmann model and a d1q3 velocity scheme. Besides, the Tanh solitary wave method is used finding several families of solutions.

in according to the simplicity of the lattice boltzmann method’s(lbm) algorithm and its benefits, it has been used as a successful method in computational fluid dynamics in the last decades. in this paper, lbm was used to simulate the flow over a cylinder. to analyze the application of lbm in simulation curved surface, different methods to compute drag coefficient were used. these methods are: ...

this work is a primary achievement in studying the co2 and n2–oil systems. to predict gas-liquid relative permeability curves, a shan-chen type multicomponent multiphase lattice boltzmann model for two-phase flow through 2d porous media is developed. periodic and bounce back boundary conditions are applied to the model with the guo scheme for the external body force (i.e., the pressure gradient...

The radiation effect within the solid anode, electrolyte, and cathode SOFC layers problem has been investigated in this paper. Energy equation is solved by the Lattice Boltzmann method (LBM). The Rosseland method is used to model the radiative transfer in the electrodes. The Schuster-Schwarzschild method is used to model the radiative transfer in the electrolyte. Without radiatve effect, the fo...

In this paper, we present a novel algorithm for dithering of gray-scale images. Our algorithm is based on the lattice Boltzmann method, a well-established and powerful concept known from computational physics. We describe the method and show the consistency of the new scheme to a partial differential equation. In contrast to widelyused error diffusion methods our lattice Boltzmann model is rota...