PASDOS : Physics-Aware Statistics for Data On Surfaces
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(A) Advection potential function $\xi$ (irrotational component).

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(B) Advection potential function $\chi$ (divergence-free component).

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(C) Numerical solution of the SPDE.
(A) Advection potential function $\xi$ (irrotational component).
(B) Advection potential function $\chi$ (divergence-free component).
(C) Numerical solution of the SPDE.