Benchmarks¶
Overview¶
Opifex provides full benchmarking tools for evaluating scientific machine learning methods.
PDE Benchmarks¶
Heat Equation¶
Standard heat equation benchmarks with various boundary conditions and geometries.
Navier-Stokes¶
Fluid dynamics benchmarks including:
- Lid-driven cavity
- Flow around cylinder
- Turbulent channel flow
Neural Operator Benchmarks¶
Performance evaluation of different neural operator architectures on standard test problems.
Quantum Chemistry Benchmarks¶
Validation against established quantum chemistry databases:
- QM9 dataset
- MD17 molecular dynamics
- Materials Project crystals
Performance Metrics¶
- Accuracy vs reference solutions
- Computational efficiency
- Memory usage
- Scalability analysis