A numerical computation of the non-dimensional form of a non-linear hydrodynamic model in a uniform reservoir. (English) Zbl 1194.93019

Summary: A mathematical model is used to simulate the water current and the elevation in a uniform reservoir. A non-linear hydrodynamic model that provides the velocity field and elevation of the water flow is considered. In the simulating process, the Lax-Wendroff technique is used to approximate the solutions. The numerical solution can be the input data for a water-quality model that is applicable for the optimal control of water treatment in the system to achieve minimum cost.


93A30 Mathematical modelling of systems (MSC2010)
93C10 Nonlinear systems in control theory
92D40 Ecology
76S05 Flows in porous media; filtration; seepage
93C20 Control/observation systems governed by partial differential equations
Full Text: DOI


[1] Garzon, A.; D’Alpaos, L., A modified method of the characteristic technique combined with gelerkin finite element method to solve shallow water mass transport problems, Proceedings 23rd international conference in coastal engineering, 3, 3068-3080, (1992)
[2] Pochai, N.; Tangmanee, S.; Crane, L.J.; Miller, J.J.H., A mathematical model of water pollution control using the finite element method, Proceedings in applied mathematics and mechanics, 6, 1, 755-756, (2006)
[3] Tabuenca, P.; Vila, J.; Cardona, J.; Samartin, A., Finite element simulation of dispersion in the bay of santander, Advanced in engineering software, 28, 313-332, (1997)
[4] Pochai, N.; Tangmanee, S.; Crane, L.J.; Miller, J.J.H., A water quality computation in the uniform reservoir, Journal of interdisciplinary mathematics, 11, 6, 803-814, (2008) · Zbl 1165.76006
[5] Ninomiya, H.; Onishi, K., Flow analysis using a PC, (1991), Computational Mechanics Publications, CRC Press Boca Raton
[6] Mitchell, A.R., Computational methods in partial differential equations, (1969), Wiley New York · Zbl 0191.45201
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.