Qualitative Rollouts of Emulators

Emulator Rollouts for 3D dynamics

The following qualitative rollouts correspond to Figure 6 in the paper.

• Init Seed=0 of KS 3D:
  

• Init Seed=0 of KS 3D: Absolute Difference against the Reference Solution
  

• Init Seed=1 of Unbalanced Advection 3D: Absolute Difference against the Reference Solution
  

• Init Seed=0 of Burgers 3D (displays all three channels)
  

• Init Seed=0 of Swift-Hohenberg 3D:
  

Qualitative Overview of 2D dynamics

• Init Seed=0 of 2D KS:
  

• Init Seed=0 of 2D Gray-Scott (only the zero-th channel is displayed):
  

Qualitative Overview of 1D dynamics

• State rollouts (Reference is at the top, Emulators are in the Rows, Scenarios in the Columns):
  

• Absolute difference to the Reference solution:
  

• Variation across the Init Seeds for UNet in 1D KdV:
  

Qualitative Overview of 3D dynamics

These represent the ones shown in the teaser of Figure 1.

• Advection
  

• Kuramoto-Sivashinsky
  

• Gray-Scott
  

• Burgers