Initial Condition Generalization
(Dil-ResNet, CompDecay-3D)

Generalization of learned and physics based models to different initial conditions. The number next to each video conveys the fraction of solenoidal (as opposed to compressive) component, which ranges from 0 (most compressive) to 1 (most solenoidal). The training data consisted of f=0.66. Simulators shown include the physics-based solver Athena++ at resolutions of 128^3 (ground truth), 64^3, and 32^3 and learned Dilated ResNet model at resolution of 32^3, with and without training noise.

Models generalize reasonably well to more solenoidal but not to more compressive initial conditions, possibly due to faster turbulence decay under compressive conditions.

initial_condition_0.mp4

0.0 (fully compressive)


initial_condition_01.mp4

0.1


initial_condition_02.mp4

0.2


initial_condition_03.mp4

0.3


initial_condition_04.mp4

0.4


initial_condition_05.mp4

0.5


initial_condition_06.mp4

0.6


initial_condition_066.mp4

0.66 (training)


initial_condition_07.mp4

0.7


initial_condition_08.mp4

0.8


initial_condition_09.mp4

0.9


initial_condition_1.mp4

1.0 (fully solenoidal)