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Showing Abstract of Comparison of semianalytical solution of saint-venant equations and general diffusion wave equation

  
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[ Downloads: 0 | Abstract Viewed: 96 | Pages: 10 ]
Title

Comparison of semianalytical solution of saint-venant equations and general diffusion wave equation
Topic: Modeling in River Engineering Published Year: 1385
Presentation: Poster
 Published in:

[ 7th International River Engineering Conference ]

Original Language: Persian Full Text Size: Not Available

 

Abstract of the Article

 

Note: English CIVILICA is in its Trial Period so Full Texts can not be provided! Persian users can download it here

Download This article in PDF format Comparison of semianalytical solution of saint-venant equations and general diffusion wave equation

 

Authors:
[ Payam Samadi ] - Graduate student in Hydraulic stractures., Civil. Eng.Dept, Shahid Chamran University
[ Mohammad Mahmoodian Shooshtari ] - Prof.of civil Eng.Dept, Shahid Chamran University

 

Abstract:

In this paper seminalytical solution for channel hydraulic routhing has been derived from the saint-venant equations by Wang et al. The saint – venant equations were converted into a nonlinear diffusion equation by introducing the froude number. This nonlinear diffusion equation is called the full inertial Hydraulic wave equation and is equvalent with the complete saint-venant equations. If the inertial terms in saint – venant equations are neglected, the full inertial hydraulic diffusion weve equation reduces to general diffusion equation.Subsequently, the mixing cell method is used to discretize a nonlinear diffusion equation in space, transforming it into a first-order nonlinear ordinary differntial equation where the optimal space interval is obtained to be the same as the characterstic reach length. The nonlinear ordinary differential equation was solved by integration with respect to time to achieve a nonlinear implicit algebraic equation. The resulting implicit equation is practical and easy to program on a computer. The method was tested with the observed data in yuanling-wangjiahe river and then compared with the observed data of Mollasani-Ahwaz Reach in karun river. The results indicate that the estimated hydrographs using the semianalytical solution of general diffusion equation are in good agreement with the estimated hydrographs using the semianalytical solution of full inertial hydraulic diffusion wave equation and observed data.

 

Keywords:

routing , diffusion , sain-venant , semianalytical , nonlinear
 

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