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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.

MSC:

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
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