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Parcels Module #2

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navidcy opened this issue Jan 23, 2019 · 1 comment
Open

Parcels Module #2

navidcy opened this issue Jan 23, 2019 · 1 comment
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enhancement New feature or request

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@navidcy
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navidcy commented Jan 23, 2019

It'll be fun to write a Parcels module that just advects parcels (or rubber ducks) give a flow field.

@navidcy navidcy added the enhancement New feature or request label Jan 23, 2019
@jbisits
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jbisits commented Jul 5, 2022

Would the idea behind this module be that the user specifies a flow field $(u(x, y, t), v(x, y, t))$ and an initial position
$(x_{0}, y_{0})$ for the parcel (or rubber duck) then the position of the parcel,
$(x(t), y(t))$ in physical space, evolves according to

$$ \begin{aligned} \frac{d x}{d t} &= u(x(t), y(t), t) \\ \frac{d y}{d t} &= v(x(t), y(t), t) \end{aligned} $$

in two dimensions (though could be generalised for one and three dimensions and many parcels as well)? So it would be a matter of setting up a Parcels.Problem in the module that solved the above in Fourier space?

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