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Zbl 1194.93019
Pochai, Nopparat
A numerical computation of the non-dimensional form of a non-linear hydrodynamic model in a uniform reservoir. (English)
[J] Nonlinear Anal., Hybrid Syst. 3, No. 4, 463-466 (2009). ISSN 1751-570X

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.

MSC 2000:: *93A30 Mathematical modelling of systems
93C10 Nonlinear control systems
92D40 Ecology
76S05 Flows in porous media
93C20 Control systems governed by PDE

Keywords: water current; water elevation; non-linear hydrodynamic model; Lax-Wendroff method

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Zentralblatt MATH Berlin [Germany]