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

Authors

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

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Journal title

volume 10  issue 1

pages  55- 73

publication date 2018-01-01

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