I am trying to simulate the seawater interface in a highly conductive aquifer, yet get massive numerical instability and negative mass concentrations!
I have tried to include the upwinding, but need a sharper mixing zone (i.e. lower dispersivity?) to even closely match the collected data.
If I understand it correctly, upwinding will increase the dispersivity to reduce the gradient over the cells and should resolve some of the instability issues?
The other option I have seen recommended is to refine the mesh more, however my model already has 1.5 million nodes with element diameter of < 0.4 metres, and Peclet number is less than 0.5 on average, and I can't wait all year for even finer models to run...
so there are two questions;
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[li]How can I stop getting negative solute concentrations (i.e. is there a hard limit available?)[/li]
[li]How do people [b]realistically [/b]model saline water intrusion in reasonable time-frames?[/li]
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Any real-world examples would be greatly appreciated - I'm struggling to find anything in the literature...