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How to set gravitation potential #190

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kongdd opened this issue Aug 26, 2024 · 1 comment
Open

How to set gravitation potential #190

kongdd opened this issue Aug 26, 2024 · 1 comment

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@kongdd
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kongdd commented Aug 26, 2024

The Richards Equation is:

$$ \frac{\partial \theta}{\partial t}=\frac{\partial}{\partial z} [D \frac{\partial \theta}{\partial z}+K ] $$

It seems that Fronts.jl ignored the gravitation potential term $\frac{\partial K}{\partial z}$.
Any suggestion how to solve this problem?

@gerlero
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gerlero commented Aug 26, 2024

Indeed Fronts implements the horizontal case of the Richards equation, where such a term is neglected (which is the case in pretty much all of our problems in microfluidics).

I'm not against adding support for such a term, but it'd need to dispatch to the FiniteDifference() algorithm because the default BoltzmannODE() algorithm is not compatible with that term.

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