TA83 : Finite Volume Modeling of Flow in Channels, Considering Wetting and Drying of Bed
Thesis > Central Library of Shahrood University > Civil & Architectural Engineering > MSc > 2012
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Abstarct: In this research a three dimensional modeling of flow implemented using finite volume method at first. This algorithm has the ability of analyzing elements by desired hexagon shapes. In order to acquire this analysis an integration of Navier- Stokes equations on control volumes implemented and then volume integrations exchanged to area integration using Divergence theorem in mathematics. Calculation of pressure gradient on interface of adjacent cells was needed within exchange process which is yield by transferring coordinate system and calculating needed Jacobians. Also, for determining momentum equations on common cell faces the idea of Momentum Interpolation was utilized which was proposed by Rhie & Chow firstly. Finally in order to acquire good convergence of results the MAC algorithm was used in solver.
To make sure of good operation of algorithm and its application in Wetting and Drying of bed, a dam break problem decided to be implemented using this method. Dam break problem involves shallow water equation related processes specially wetting and drying and also there are some analytical and experimental data which were compared by results of current model. One should mention that there are so many problems in dam- break problem by wetting and drying, but main problems relieved in current model. Firstly, the depth averaged equation of Navier- Stokes equations required for modeling, then, where the magnitudes of parameters had abrupt changes (namely wave run up and dam break problems) Riemann problem comes out for which Godunov proposed an approximate solution. Also numerical modeling in these cases encounters intensive fluctuations in results. In order to cope with this objection, the methods baxsed on TVD are required. All these problems were resolved in dam break model and finally using WAF method, that is second order accurate in time and space, results of dam break problem for several cases are brought out and good compliance of results are evident compared to both analytical and experimental data, which is validates the well operation of current model.
Keywords: Numerical Modeling- Finite Volume Method- WAD- SWE- Dam Break- WAF
Keywords:
#Numerical Modeling- Finite Volume Method- WAD- SWE- Dam Break- WAF
Keeping place: Central Library of Shahrood University
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Keeping place: Central Library of Shahrood University
Visitor: