Apache 2.0 Open Source Core · 15TB NeurIPS Physics Corpus · Triton Cloud API

The Open-Source Foundation
for Physics AI. 1,000× Faster.

Kontinua combines state-of-the-art neural PDE operators (FNO, CNextU-Net, AViT) with a managed low-latency GPU cloud. Train locally on your hardware with Apache 2.0 open-source code, or scale to millisecond multi-physics inference with Kontinua Cloud.

$ pip install kontinua
0TB Open Training Corpus
0 Physics Domains
0× Faster than Traditional Solvers
0 Open Neural Architectures

Built on peer-reviewed research & open science from

Flatiron Institute NYU Cambridge Princeton Los Alamos Cornell UC Berkeley Polymathic AI

From local PyTorch experiment
to production Cloud API in seconds

Open-source first. Use our Python package locally with full freedom, or connect to our managed cloud for sub-50ms inference.

# 1. Install open-source package: pip install kontinua
import torch
from kontinua.core.models import CNextUNet
from kontinua.core.data import WellDataset

# 2. Load pre-trained neural surrogate from Hugging Face Hub
model = CNextUNet.from_pretrained("kontinua/cnext-unet-turbulence-2d")
model.eval()

# 3. Load initial spatiotemporal boundary state
dataset = WellDataset(well_base_path="./data", well_dataset_name="turbulence")
sample = dataset[0]["input"].unsqueeze(0)

# 4. Generate 100-step rollout in 47 milliseconds on local GPU
with torch.no_grad():
    prediction = model(sample)

print(f"Output shape: {prediction.shape} | VRMSE: 0.021")
# Query Kontinua Cloud Managed Triton GPU Cluster (FastAPI / gRPC)
import kontinua

client = kontinua.Client(api_key="ko_live_9f82d1...")

# Send boundary condition -> Receive validated rollout in 35ms
prediction = client.predict(
    domain="compressible_euler",
    mesh_input="./wing_geometry.h5",
    model="cnext-unet-v2-trt",      # TensorRT accelerated
    rollout_steps=100,
    return_metrics=True
)

print(f"Inference Latency: {prediction.latency_ms}ms | VRMSE: {prediction.vrmse}")
prediction.export_openfoam("./postProcessing/")
# 1. Download 2D turbulence training split from The Well
$ kontinua download --dataset turbulence --split train --output ./data

# 2. Train Fourier Neural Operator (FNO) with Distributed Data Parallel (DDP)
$ kontinua train experiment=fno data=turbulence model.modes=32 training.batch_size=64

# 3. Benchmark local checkpoint against standardized test suite
$ kontinua benchmark --checkpoint ./runs/fno_best.pt --dataset turbulence --metrics vrmse,spectral_mse

# 4. Compile model to TensorRT engine for sub-30ms production serving
$ kontinua export --model cnext_unet --format tensorrt --fp16 --output ./engine.plan

High-fidelity PDE surrogates.
Real-time visual comparison.

See the difference: 48 hours of traditional Navier-Stokes HPC computation vs. 47 milliseconds with Kontinua CNextU-Net surrogate.

Compressible Turbulence · 2D Vorticity Field ($\omega$) Resolution: 512×512 VRMSE: 0.021 (SOTA)
Traditional HPC Solver (Navier-Stokes)
Kontinua Neural Surrogate (CNextU-Net)

8 battle-tested neural operator
& transformer architectures

Every architecture is fully open-sourced in PyTorch under Apache 2.0. Base weights freely downloadable from Hugging Face Hub.

Top Performer

CNextU-Net

Modernized U-Net + ConvNeXt Blocks

VRMSE 0.021
Triton Latency 47ms
Turbulence · Compressible Euler · Active Matter
Download Weights →

FNO

Fourier Neural Operator

VRMSE 0.034
Triton Latency 31ms
Helmholtz · MHD · Shallow Water
Download Weights →

TFNO

Tucker-Factorized FNO

VRMSE 0.029
Triton Latency 28ms
Shear Flow · Rayleigh-Bénard Convection
Download Weights →

AViT

Attention Vision Transformer

VRMSE 0.026
Triton Latency 89ms
Supernova · Neutron Star Mergers
Download Weights →

AFNO

Adaptive Fourier Neural Operator

VRMSE 0.031
Triton Latency 35ms
Viscoelastic Instabilities · Convective
Download Weights →

DilatedResNet

Dilated Residual Network

VRMSE 0.038
Triton Latency 22ms
Acoustic Scattering · Gray-Scott
Download Weights →

Open-Source Core vs. Kontinua Cloud

Zero lock-in. Use the open-source library on your own infrastructure forever, or deploy on Kontinua Cloud when your team needs automated multi-GPU scale.

Capability Kontinua Open-Source (Community) Kontinua Cloud (Managed Platform)
License & Governance Apache 2.0 (Free Forever) Commercial SaaS & Enterprise
Execution Environment Local CPU / Workstation / Custom Cluster Auto-Scaling H100/L4 Triton GPU Fleet
8 Open Model Architectures Full PyTorch code included Pre-compiled TensorRT engines
Pre-Trained 2D Base Checkpoints Download from Hugging Face Hub Instant zero-setup API access
3D High-Res Foundation Checkpoints Manual training required Included in Pro & Team tiers
Sub-50ms Low-Latency Inference API Self-managed server configuration Global REST & gRPC API with SLA
Managed Domain Fine-Tuning Manual PyTorch DDP scripts 1-Click Upload → Auto-Trained Endpoint
Benchmark-as-a-Service (BaaS) Local benchmark harness Automated CI/CD simulation tests
SSO/SAML, Team RBAC & SOC 2 Not included Enterprise Security & Compliance

Calculate your simulation cost savings

See how much time and compute spend your engineering team saves by augmenting OpenFOAM or Ansys Fluent with Kontinua surrogates.

250 runs
12 hours
6 engineers
Annual Traditional HPC Compute Cost $108,000
Annual Cost with Kontinua Cloud $3,588
Estimated Net Annual Savings $104,412 / year (96.7%)
Engineering Wall-Clock Time Saved 2,998 Hours / month

Transparent pricing for engineers & enterprises

Start for free with open source. Upgrade to Kontinua Cloud when your team needs auto-scaling GPU infrastructure.

Open Source
Community
$0 /forever

For individual researchers and engineers running on local hardware.

  • Apache 2.0 license
  • Unlimited local CPU/GPU execution
  • 8 PyTorch neural architectures
  • The Well 15TB data loaders
  • Standard spatial/spectral metrics
  • GitHub community support
View on GitHub
Team Cloud
$499 /month

For simulation teams requiring managed fine-tuning & batch jobs.

  • 50,000 cloud predictions / month
  • 5 team seats + RBAC
  • 1 Managed Fine-Tuning run / mo
  • High-throughput batch simulation API
  • Multi-step rollout predictions
  • Priority support (4hr SLA)
Start Team Trial
Enterprise
Custom

Dedicated GPU clusters, on-premise air-gapped deployment, custom loss functions.

  • Unlimited predictions & batch jobs
  • Dedicated H100 GPU cluster
  • On-premise / VPC air-gapped deployment
  • Custom neural architecture formulation
  • SSO/SAML + SOC 2 Type II audit
  • 24/7 dedicated Slack & 99.95% SLA
Contact Enterprise Sales

Managed Compute & Pay-As-You-Go Add-Ons

Standard 2D API Call ($\le 256^2$) $0.01 / call
3D High-Res Prediction $0.05 / call
Managed Fine-Tuning Compute (H100) $4.00 / GPU-hour
Batch Simulation Jobs $8.00 / 1K calls

The standard evaluation suite for Physics AI

Standardized spatial (VRMSE), spectral (Fourier MSE), and temporal (Wasserstein-1) metrics across all 16 datasets.

Turbulence Domain Leaderboard Submit Model PR
Rank Model Architecture VRMSE ↓ Spectral MSE ↓ Triton p95 Latency Weights
🥇 #1 CNextU-Net v2 Kontinua SOTA 0.021 0.0043 47ms Apache 2.0
🥈 #2 AViT-Large 0.026 0.0061 89ms Apache 2.0
🥉 #3 TFNO-v3 0.029 0.0074 28ms Apache 2.0
#4 AFNO-2D 0.031 0.0082 35ms Apache 2.0
#5 FNO Baseline (NeurIPS 2024) 0.034 0.0091 31ms Apache 2.0

Deploy scientific ML with zero infrastructure friction.

Join our managed Cloud Early Access program. Get 3 months of Pro Cloud free upon general availability. Limited to 200 pilot seats.

No credit card required. Includes $100 in free GPU inference credits.