Comparison of The LBM With the Modified Local Crank-Nicolson Method Solution of Transient Two-Dimensional Non-Linear Burgers Equation
الموضوعات : مجله بین المللی ریاضیات صنعتیAR. Haghighi 1 , S. Pakrou 2 , A. Dadvand 3
1 - Department of Mathematics, Technical and Vocational University, Tehran, Iran.
2 - Department of Mathematic, Urmia University of Technology, Urmia, Iran.
3 - Faculty member of Department of Mechanical Engineering,Urmia university of technology
الکلمات المفتاحية: the modified Local Crank-Nicolson method, Adomian method, Non-linear Burgers equation,
ملخص المقالة :
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.
