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Finite Volume Solution For Flow in a Channel with a Step on its Bottom

Lookup NU author(s): Dr Kutsi Erduran, Dr Vedrana Kutija, Dr Caspar HewettORCiD


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In many recent publications, the finite volume method with shock capturing schemes has been used to solve the shallow water equations. The solution method is in great demand because of its ability to handle discontinuous flow. However, the shock capturing schemes are constructed based on homogeneous conservation laws and thus they are used for the solution of homogeneous part of the shallow water equations only. In order to add the contributions of the other terms such as bottom slope and friction which makes the equations inhomogeneous, alternative techniques are used such as the splitting method. However, these techniques are suitable only for particular problems and sometimes generate considerable errors. In this paper, a new algorithm is introduced which provides a solution for flow in a channel with a step on its bottom.

Publication metadata

Author(s): Erduran KS, Kutija V, Hewett CJM

Editor(s): Falconer RA; Lin B; Harris EL; Wilson CAME; Cluckie ID; Han D; Davis JP; Heslop S

Publication type: Conference Proceedings (inc. Abstract)

Publication status: Published

Conference Name: Fifth International Conference on Hydroinformatics 2002

Year of Conference: 2002

ISSN: 9781843390213

Publisher: IWA Publishing