International Journal of Mathematics and Computers in Simulation, Volume (1), No (4), Year (2007-11) , Pages (350-355)

Title : ( Water Hammer Modeling by Godunov type Finite Volume Method )

Authors: Saeed-Reza Sabbagh-Yazdi , Nikos E. Mastorakis , Ali Abbasi ,

Citation: BibTeX | EndNote

Abstract

In this paper, second-order explicit Finite Volume (FV) Godunov type scheme is applied for water hammer problems and the results are analyzed. The developed one-dimensional model is based on Reimann solution of continuity equation coupled with the momentum equation which includes convective term. The implementation of boundary conditions such as reservoirs, valves, and pipe junctions in the Godunov approach is similar to that of the method of characteristics (MOC) approach. The model is applied to two classic problems (systems consisting of a reservoir, a pipe and a valve). The second-order Godunov scheme is stable for Courant number less than or equal to unity. The minimum and maximum of the computed pressure waves are computed in close agreement with analytical solution and laboratory data.

Keywords

, Water-Hammer, Unsteady Pipe Flow, Finite Volume Method, Second Order Godunov Type Reiman Solver
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@article{paperid:1067115,
author = {Saeed-Reza Sabbagh-Yazdi and Nikos E. Mastorakis and Abbasi, Ali},
title = {Water Hammer Modeling by Godunov type Finite Volume Method},
journal = {International Journal of Mathematics and Computers in Simulation},
year = {2007},
volume = {1},
number = {4},
month = {November},
issn = {1998-0159},
pages = {350--355},
numpages = {5},
keywords = {Water-Hammer; Unsteady Pipe Flow; Finite Volume Method; Second Order Godunov Type Reiman Solver},
}

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%0 Journal Article
%T Water Hammer Modeling by Godunov type Finite Volume Method
%A Saeed-Reza Sabbagh-Yazdi
%A Nikos E. Mastorakis
%A Abbasi, Ali
%J International Journal of Mathematics and Computers in Simulation
%@ 1998-0159
%D 2007

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