The Solution of Two Dimensional and Time Dependent Burger Equations Using Finite Difference Method

Authors

  • Mohammad Vaghefi Assistant Professor of Hydraulic Structure, Civil Engineering Department, Persian Gulf University, Bushehr, Iran.
  • Sam Boveiri Master of Science, Department of Civil Engineering, Pardis Branch, Persian Gulf University, Bushehr, Iran
  • Ali Reza Fiouz Assistant Professor of Structures, Department of Civil Engineering, Persian Gulf University, Bushehr, Iran

Keywords:

Burger Equation, Finite Difference, Newton-Raphson Method, Velocity Distribution

Abstract

There is a differential equation governing all engineering phenomena. For some of these phenomenas, there are mathematical models that define the behavior pattern of that phenomena in different conditions. The equation we used in this study was the two dimensional and time dependent burger equation. This equation is discontinued through using finite differentiation and solved using newton Robinson technique in Matlab program. Then sensitivity analysis has been performed on time passage and their effect on sedimentation velocity have been studied and analyzed. The results that showed that in the most of times, the skewness diagrams of length and depth velocity in depth direction to is to the left which shows the maximum velocity of falling particle at the time of study and near the bed.

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Published

2014-12-15

How to Cite

Vaghefi, M., Boveiri, S., & Fiouz, A. R. (2014). The Solution of Two Dimensional and Time Dependent Burger Equations Using Finite Difference Method. Asian Journal of Engineering and Technology, 2(6). Retrieved from https://ajouronline.com/index.php/AJET/article/view/1852