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README.md
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license: mit
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---
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# Datasets for Latent Diffusion Models for PDEs
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##
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```
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## Cylinder Flow
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- 1000/100 train/valid samples
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- Incompressible NS in water, Re ~100-1000, dt = 0.01
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- Around 2000 mesh points, downsampled to 25 timesteps
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- 'v_inlet': shape(). y-component of velocity at the inlet.
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- '1', '2', ... etc.
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```
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## Smoke Buoyancy (NS2D)
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- 2496/608 train/valid samples.
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- Datasets are divided into separates files with 32 samples each. This results in 78 training files (78x32=2496) and 19 valid files (19x32=608)
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- Smoke driven by a buoyant force, dt=1.5
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license: mit
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---
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# Model Zoo and Datasets for Latent Diffusion Models for PDEs
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## Pretrained Models
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The pretrained models are:
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```
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- Autoencoders:
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- ae_cylinder.ckpt : autoencoder trained to compress cylinder mesh data across 25 timesteps. Does not use GAN or LPIPS.
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- ae_ns2D.ckpt: autoencoder trained to compress smoke buoyancy data (48x128x128). Does not use GAN or LPIPS.
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- LDMs:
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- cylinder flow
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- ldm_DiT_FF_cylinder.ckpt: ldm model trained to sample a cylinder flow solution conditioned on the first frame
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- ldm_DiTSmall_FF_cylinder.ckpt: same as previous, just smaller DiT size.
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- ldm_DiT_text_cylinder.ckpt: ldm model trained to sample a cylinder flow solution conditioned on a text prompt
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- ldm_DiTSmall_text_cylinder.ckpt: same as previous, just smaller DiT size.
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- ns2D
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- ldm_DiT_FF_ns2D.ckpt: ldm model trained to sample a smoke buoyancy solution conditioned on the first frame
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- ldm_DiTSmall_FF_ns2D.ckpt: same as previous, just smaller DiT size.
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- ldm_DiTLarge_FF_ns2D.ckpt: same as previous, just large DiT size.
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- ldm_DiT_text_ns2D.ckpt: ldm model trained to sample a smoke buoyancy solution conditioned on a text prompt
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- ldm_DiTSmall_text_ns2D.ckpt: same as previous, just smaller DiT size.
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- ldm_DiTLarge_text_ns2D.ckpt: same as previous, just large DiT size.
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```
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## Cylinder Flow Dataset
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- 1000/100 train/valid samples
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- Incompressible NS in water, Re ~100-1000, dt = 0.01
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- Around 2000 mesh points, downsampled to 25 timesteps
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- 'v_inlet': shape(). y-component of velocity at the inlet.
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- '1', '2', ... etc.
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```
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## Smoke Buoyancy Dataset (NS2D)
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- 2496/608 train/valid samples.
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- Datasets are divided into separates files with 32 samples each. This results in 78 training files (78x32=2496) and 19 valid files (19x32=608)
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- Smoke driven by a buoyant force, dt=1.5
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