Tangential, but now I’m curious… do you know what discretization methods are typically used for the fluid dynamics? I ask because insufficiently-intense cyclones sound like exactly the sort of thing APIC methods were made to fix, but those are relatively recent and I don’t have a sense for how much adoption they’ve had outside of graphics.
do you know what discretization methods are typically used for the fluid dynamics?
There’s a mixture—finite differencing used to be used a lot but seems to be less common now, semi-Lagrangian advection seems to have taken over from that in models that used it, then some work by doing most of the computations in spectral space and neglecting the smallest spatial scales. Recently newer methods have been developed to work better on massively parallel computers. It’s not my area, though, so I can’t give a very expert answer—but I’m pretty sure the people working on it think hard about trying to not smooth out intense structures (though, that has to be balanced against maintaining numerical stability).
How much are ‘graphical’ methods like APIC incorporated elsewhere in general?
My intuition has certainly been pumped to the effect that models that mimic visual behavior are likely to be useful more generally, but maybe that’s not a widely shared intuition.
Tangential, but now I’m curious… do you know what discretization methods are typically used for the fluid dynamics? I ask because insufficiently-intense cyclones sound like exactly the sort of thing APIC methods were made to fix, but those are relatively recent and I don’t have a sense for how much adoption they’ve had outside of graphics.
There’s a mixture—finite differencing used to be used a lot but seems to be less common now, semi-Lagrangian advection seems to have taken over from that in models that used it, then some work by doing most of the computations in spectral space and neglecting the smallest spatial scales. Recently newer methods have been developed to work better on massively parallel computers. It’s not my area, though, so I can’t give a very expert answer—but I’m pretty sure the people working on it think hard about trying to not smooth out intense structures (though, that has to be balanced against maintaining numerical stability).
How much are ‘graphical’ methods like APIC incorporated elsewhere in general?
My intuition has certainly been pumped to the effect that models that mimic visual behavior are likely to be useful more generally, but maybe that’s not a widely shared intuition.