A note on spatio-temporal random fields on meshed surfaces

Fig 4.1: Simulation of a solution to the advection-diffusion SPDE on a meshed sphere, represented from three different viewpoints on the surface.

$Advection potential function $\xi$ (irrotational component).$

(A) Advection potential function $\xi$ (irrotational component).

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

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