Author/Authors :
Haghighi, AR. Department of Mathematics - Technical and Vocational University, Tehran, Iran. , Pakrou, S. Department of Mathematic - Urmia University of Technology, Urmia, Iran , Dadvand, A. Department of Mechanical Engineering - Urmia university of technology
Abstract :
Burgers equation is a simplified form of the Navier-Stokes equation that represents the non-linear features of it. In this paper, the transient two-dimensional non-linear Burgers equation is solved using the Lattice Boltzmann Method (LBM). The results are compared with the Modified Local Crank-Nicolson method (MLCN) and exact solutions. The LBM has been emerged as a new numerical method for solving various physical problems.