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 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)

تاريخ الإرسال : 11 الأربعاء , محرم, 1438 تاريخ التأكيد : 12 الأحد , ربيع الأول, 1438 تاريخ الإصدار : 14 الإثنين , ربيع الثاني, 1439

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.