Numerical Solution of the Modified Burger’s Equation Using Finite Difference Method and Comparison with the Lattice Boltzmann Method

Subject Areas : Subjects

M. Vaghefi ¹ (استادیار سازه های هیدرولیکی، گروه مهندسی عمران، دانشکده فنی و مهندسی، دانشگاه خلیج فارس، بوشهر، بوشهر)

Received: 2015-08-09 Accepted : 2015-08-09 Published : 2015-04-21

Keywords: Modified Burger's, Equation, Finite difference method, Maximum Velocity, sedimentation,

Abstract :

The main purpose of this study is finding a numerical solution of the modified Burger's equation with appropriate initial and boundary conditions, by using finite difference method for dimensionless state, and comparing the results with the other research. Finite difference method results were compared with those of LBM, and relevant figures and tables describe the comparison. This paper also addressed the effect of time, viscosity and the exponent of sedimentation velocity (in Burger equation) on sedimentation velocity. The results showed that an increase in time and viscosity parameters resulted in a decrease in the maximum sedimentation velocity, and the maximum sedimentation velocity occurrence was transported to the end of the range under investigation. In addition, the results indicated that if viscosity parameter was multiplied 100 times, the particles falling velocity at the peak point would decrease by 60%. The analysis of the results is included in the paper. 

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اصغری پری، س.ا. و س.م. محققیان. 1393. بررسی عددی تاثیر ایجاد گودال­های حفاظتی در بستر بر مهار کردن جریان غلیظ. مجله علمی پژوهشی مهندسی منابع آب. 7(23): 1-12.