Comparison of The LBM With the Modified Local Crank-Nicolson Method Solution of Transient Two-Dimensional Non-Linear Burgers Equation

محورهای موضوعی : مجله بین المللی ریاضیات صنعتی

AR. Haghighi ¹ ( Department of Mathematics, Technical and Vocational University, Tehran, Iran. )
S. Pakrou ² ( Department of Mathematic, Urmia University of Technology, Urmia, Iran. )
A. Dadvand ³ ( Faculty member of Department of Mechanical Engineering,Urmia university of technology )

تاریخ دریافت : 1395/07/21 تاریخ پذیرش : 1395/09/21 تاریخ انتشار : 1396/10/11

کلید واژه: the modified Local Crank-Nicolson method, Adomian method, Non-linear Burgers equation,

چکیده مقاله :

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.