Conference article

Use of Orthogonal Collocation Method for a Dynamic Model of the Flow in a Prismatic Open Channel: For Estimation Purposes

Asanthi Jinasena
Faculty of Technology, Natural Sciences and Maritime Sciences, University College of Southeast Norway, Norway

Glenn-Ole Kaasa
Kelda Drilling Controls A/S, Porsgrunn, Norway

Roshan Sharma
Faculty of Technology, Natural Sciences and Maritime Sciences, University College of Southeast Norway, Norway

Download articlehttp://dx.doi.org/10.3384/ecp1713890

Published in: Proceedings of the 58th Conference on Simulation and Modelling (SIMS 58) Reykjavik, Iceland, September 25th – 27th, 2017

Linköping Electronic Conference Proceedings 138:12, p. 90-96

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Published: 2017-09-27

ISBN: 978-91-7685-417-4

ISSN: 1650-3686 (print), 1650-3740 (online)

Abstract

The modeling and simulation of free surface flows are complex and challenging. Especially, the open channel hydraulics are often modeled by the well–known and efficient Saint–Venant equations. The possibility of efficiently reducing these partial differential equations into ordinary differential equations with the use of orthogonal collocation method is studied with the goal of application in estimations. The collocation method showed the flexibility of choosing the boundary conditions with respect to the flow behavior. The results were comparable enough to the selected finite volume method. Further, a significant reduction in computational time in the collocation method is observed. Therefore, the collocation method shows a good possibility of using it for the real–time estimation of flow rate in an open channel.

Keywords

orthogonal collocation, open channel, prismatic, flow estimation, dynamic modeling

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