NUMERICAL SOLUTION OF THE MODIFIED BURGER’S EQUATION USING FINITE DIFFERENCE METHOD AND COMPARISON WITH THE LATTICE BOLTZMANN METHOD

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VAGHEFI M.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Journal: Journal of Water Resources Engineering Year:2015 | Volume:8 | Issue:24 Page(s): 15-24

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Title

NUMERICAL SOLUTION OF THE MODIFIED BURGER’S EQUATION USING FINITE DIFFERENCE METHOD AND COMPARISON WITH THE LATTICE BOLTZMANN METHOD

Author(s)

VAGHEFI M. | Issue Writer Certificate

Keywords

MODIFIED BURGER'SQ2

EQUATIONQ1

FINITE DIFFERENCE METHODQ2

MAXIMUM VELOCITYQ2

SEDIMENTATIONQ2

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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References

NUMERICAL STUDY OF THE EFFECT OF CREATING CONTROL HOLES IN BED ON CONTROLLING TURBIDITY CURRENT

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APA: Copy

VAGHEFI, M.. (2015). NUMERICAL SOLUTION OF THE MODIFIED BURGER’S EQUATION USING FINITE DIFFERENCE METHOD AND COMPARISON WITH THE LATTICE BOLTZMANN METHOD. WATER ENGINEERING, 8(24), 15-24. SID. https://sid.ir/paper/169345/en

Vancouver: Copy

VAGHEFI M.. NUMERICAL SOLUTION OF THE MODIFIED BURGER’S EQUATION USING FINITE DIFFERENCE METHOD AND COMPARISON WITH THE LATTICE BOLTZMANN METHOD. WATER ENGINEERING[Internet]. 2015;8(24):15-24. Available from: https://sid.ir/paper/169345/en

IEEE: Copy

M. VAGHEFI, “NUMERICAL SOLUTION OF THE MODIFIED BURGER’S EQUATION USING FINITE DIFFERENCE METHOD AND COMPARISON WITH THE LATTICE BOLTZMANN METHOD,” WATER ENGINEERING, vol. 8, no. 24, pp. 15–24, 2015, [Online]. Available: https://sid.ir/paper/169345/en

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