| Abstract: |
| In this presentation, we consider a model problem proposed in the documentation of the computer program SEAWAT. It consists in a two-dimensional cross section of a confined coastal aquifer initially saturated with relatively cold seawater ($C = 35 kg/m^3$ and $5^o C$ ). And warmer fresh water ($C = 0 kg/m^3$ and $25^o C$ ) is injected into the aquifer along the left boundary to the right. The fresh water and the sea water mix together and discharge into a vertical seaward boundary. This system models for example the extraction of salt water containing lithium from salt lakes.
Mathematically, we solve a system of 3 nonlinear parabolic equations for the fresh water head $h$, the salt concentration $C$ and the temperature $\Theta$ together with the Darcy`s law, by a uniform code using a generalized finite volume method. We explain the equations of the system and present numerical simulation results.
It is joint work with Danielle Hilhorst and Huy Cuong Vu Do. |
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