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

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.

Keywords:

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

Authors

AR. Haghighi

Department of Mathematics, Technical and Vocational University, Tehran, ‎Iran.‎

S. Pakrou

Department of Mathematic, Urmia University of Technology, Urmia, ‎Iran.‎

A. Dadvand

Faculty member of Department of Mechanical Engineering,Urmia university of technology

Certificate
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https://civilica.com/doc/1887050

شناسه ملی سند علمی:

JR_IJIM-10-1_007

تاریخ نمایه سازی: 26 دی 1402

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Haghighi, AR. and Pakrou, S. and Dadvand, A.,1397,Comparison of The LBM With the Modified Local Crank-Nicolson Method Solution of Transient Two-Dimensional Non-Linear Burgers Equation,https://civilica.com/doc/1887050

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Type of center: دانشگاه دولتی

Paper count: 8,706

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