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Solver algorithm with the discretized equations. In the Figure, S is the vector in the face cell surface, í µí±Ž í µí±ƒ includes the terms of the owner cell and í µí°»(hí µí²–) contains the terms in the neighboring cells and the source terms except for the pressure. The subscript f indicates that the equations are solved in the cell faces. In the predictor step, constant values of h and hí µí²– are assumed. The corrector step is iterated three times to ensure convergence. Then the transport equation is solved, and the process is repeated up to the end time.

Solver algorithm with the discretized equations. In the Figure, S is the vector in the face cell surface, í µí±Ž í µí±ƒ includes the terms of the owner cell and í µí°»(hí µí²–) contains the terms in the neighboring cells and the source terms except for the pressure. The subscript f indicates that the equations are solved in the cell faces. In the predictor step, constant values of h and hí µí²– are assumed. The corrector step is iterated three times to ensure convergence. Then the transport equation is solved, and the process is repeated up to the end time.

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Figure 2. Solver algorithm with the discretized equations. In the...
Figure 3. Model verification. (a) viscous effect, (b) bottom effects,...
Figure 6. Simulation results at several times considering wind and...
Figure 7. Concentration profile for several wind directions. Wind speed...
+1 Parameters used for the mesh independence study
Shallow water model for pollutant distribution in the Ypacarai Lake
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  • Nov 2021
In this paper, we analyze the distribution of a non-reactive contaminant in Ypacarai Lake. We propose a shallow-water model that considers wind-induced currents, inflow and outflow conditions in the tributaries, and bottom effects due to the lakebed. The hydrodynamic is based on the depth-averaged Navier-Stokes equations considering wind stresses a...
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... ShallowWaterFoam solver for inviscid shallow-water equations is adapted to this problem incorporating the terms corresponding to viscosity, wind, and bottom effects in the solver. The iterative process of the solver is based on the PIMPLE algorithm (26) , which uses a predictor/corrector scheme ( Figure 2). In the predictor step, approximated values of the velocity components are used to evaluate the momentum equation. ...