Article | Proceedings of The 9th EUROSIM Congress on Modelling and Simulation, EUROSIM 2016, The 57th SIMS Conference on Simulation and Modelling SIMS 2016 | Semi-Discrete Scheme for the Solution of Flow in River Tinnelva Linköping University Electronic Press Conference Proceedings
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Title:
Semi-Discrete Scheme for the Solution of Flow in River Tinnelva
Author:
Susantha Dissanayake: Department of Electrical Engineering, IT, and Cybernetics, University College of Southeast Norway, Porsgrunn, Norway Roshan Sharma: Department of Electrical Engineering, IT, and Cybernetics, University College of Southeast Norway, Porsgrunn, Norway Bernt Lie: Department of Electrical Engineering, IT, and Cybernetics, University College of Southeast Norway, Porsgrunn, Norway
DOI:
10.3384/ecp17142161
Download:
Full text (pdf)
Year:
2018
Conference:
Proceedings of The 9th EUROSIM Congress on Modelling and Simulation, EUROSIM 2016, The 57th SIMS Conference on Simulation and Modelling SIMS 2016
Issue:
142
Article no.:
023
Pages:
161-167
No. of pages:
7
Publication type:
Abstract and Fulltext
Published:
2018-12-19
ISBN:
978-91-7685-399-3
Series:
Linköping Electronic Conference Proceedings
ISSN (print):
1650-3686
ISSN (online):
1650-3740
Publisher:
Linköping University Electronic Press, Linköpings universitet


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The Saint-Venant equation is a mathematical model which could be used to study water ?ow in an open channel, river, etc. The Kurganov-Petrova (KP) method, which is a second-order scheme, is used to solve the Saint-Venant equations with good stability. The water ?ow of a river between two hydropower stations in Norway has been simulated in this study using MATLAB and OpenModelica. The KP scheme has been used to discretize the Saint-Venant equations in the spatial domain, yielding a collection of Ordinary Differential Equations (ODEs). These are then integrated with time using the variable step-length solvers in MATLAB: ode23t, ode23s, ode45, and ?xed step-length solvers: The Euler method, the second and fourth order Runge Kutta method (RK2 and RK4). In OpenModelica built-in, variable step-length DASSL solver has been used. From the simulation, it was observed that all solvers produce more or less similar results. Volumetric ?owrate calculation indicated numerical oscillation with variable step-length solvers in MATLAB. The results indicated that it is reasonable to match the order of space and time discretization.

Keywords: semi-discrete KP scheme, OpenModelica, MATLAB

Proceedings of The 9th EUROSIM Congress on Modelling and Simulation, EUROSIM 2016, The 57th SIMS Conference on Simulation and Modelling SIMS 2016

Author:
Susantha Dissanayake, Roshan Sharma, Bernt Lie
Title:
Semi-Discrete Scheme for the Solution of Flow in River Tinnelva
DOI:
http://dx.doi.org/10.3384/ecp17142161
References:
No references available

Proceedings of The 9th EUROSIM Congress on Modelling and Simulation, EUROSIM 2016, The 57th SIMS Conference on Simulation and Modelling SIMS 2016

Author:
Susantha Dissanayake, Roshan Sharma, Bernt Lie
Title:
Semi-Discrete Scheme for the Solution of Flow in River Tinnelva
DOI:
https://doi.org10.3384/ecp17142161
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