Graph Neural Networks for Physics Simulation
Mesh-based GNN — Encoder · Processor · Decoder with Temporal Rollout
M
t
q
i
t
Update
→
p
i
M
t+1
Rollout
- - - →
M
t+2
Encoder
→
Processor
Message Passing ×L
→
Decoder
e
′M
ij
←
f
M
(e
M
ij
, v
i
, v
j
)
e
′W
ij
←
f
W
(e
W
ij
, v
i
, v
j
)
v
′
i
←
f
V
(v
i
, Σ
j
e
′M
ij
, Σ
j
e
′W
ij
)
World Space
x
Mesh Space
u