Learning Paths

Resources from beginner to industrial deployment

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20 resources

CFD Python: 12 Steps to Navier-Stokes

Fluid / CFD / Beginner Tutorial
Lorena Barba classic "12 Steps to Navier-Stokes" - twelve Jupyter notebooks building solvers from 1-D linear convection to 2-D NS and channel flow.
New See LICENSE file CFDFinite DifferenceBeginner

Dedalus Spectral PDE Solver Framework

General SciML / Framework Tutorial
Python framework that builds spectral-method solvers symbolically (Burns et al. 2020), widely used in fluid dynamics, plasma, star and planet research.
New GPL-3.0 Spectral MethodSymbolicPython

Clawpack Finite-Volume Solvers for Hyperbolic PDEs

Fluid / CFD / Framework Tutorial
LeVeque team finite-volume package - Godunov-type schemes for hyperbolic conservation laws, standard tool for shocks, tsunami, reservoir, and seismic waves.
New BSD-3-Clause Finite VolumeHyperbolic PDEShock Wave

DeepXDE Physics-Informed Neural Network Framework

General SciML / Framework Tutorial
The most mature open-source PINN/DeepONet solver framework - one API covering forward, inverse, and multiphysics problems, with Chinese-friendly docs.
New LGPL-2.1 PINNDeepONetFramework

FAIR Chemistry Machine Learning Toolkit

Materials / Chemistry / Framework Tutorial
Meta FAIR Chemistry open-source toolkit (formerly the Open Catalyst Project) spanning OC20/OC22 datasets and models like GemNet, eSCN, EquiformerV2.
New MIT CatalysisMachine Learning PotentialGraph Neural Network

FEniCS Automated Finite Element Platform

Solid / Structure / Framework Tutorial
FEM platform where you write variational forms in near-math UFL syntax and discretization/solving is automated - the standard learning route with its official tutorial book.
New LGPL-3.0 Finite ElementFEMVariational Form

JAX-CFD Differentiable Computational Fluid Dynamics

Fluid / CFD / Framework Tutorial
Google open-source differentiable CFD codebase - spectral solvers in JAX that let gradients flow through flow-field simulation.
New Apache-2.0 JAXDifferentiable SimulationCFD

NeuralPDE.jl Scientific Machine Learning Solvers in Julia

General SciML / Framework Tutorial
Julia SciML ecosystem library unifying PINN/DeepONet/NeuralOperator solvers with seamless DifferentialEquations.jl interoperability and GPU/autodiff out of the box.
New MIT JuliaPINNSciML

PDEBench Scientific Machine Learning Benchmark

General SciML / Benchmark
A unified benchmark (Takamoto et al. 2022) spanning 12+ PDE families that turns "is this operator-learning model good" into comparable numbers.
New See LICENSE file BenchmarkDatasetNeural Operator

PhiFlow Differentiable PDE Solving Framework

Fluid / CFD / Framework Tutorial
TUM differentiable fluid simulation framework - solvers run directly on PyTorch/JAX/TensorFlow tensors with gradients through the solve.
New MIT Differentiable SimulationFluidPyTorch

NVIDIA PhysicsNeMo Physics-AI Framework

General SciML / Industrial Framework
NVIDIA open-source physics-AI training/inference framework (formerly Modulus) with official examples across CFD, structural, EM, weather, and semiconductor TCAD.
New Apache-2.0 PhysicsNeMoModulusIndustrial Deployment

pymatgen Materials Genomics Toolkit

Materials / Chemistry / Toolkit Tutorial
The Python analysis library behind Materials Project - crystal structures, phase diagrams, band structures, DOS out of the box; the standard data layer between DFT and ML workflows.
New MIT MaterialsCrystal StructurePhase Diagram

A Roadmap for Polymer Informatics Super-Intelligence

Materials
This roadmap reviews the evolution of polymer informatics toward on-demand inverse design, causal reasoning across chemistry, processing, and performance, and closed-loop autonomous experimentation.
See LICENSE file polymer informaticsinverse designautonomous experimentation

Adaptive Physics-informed Neural Networks: A Survey

Survey / Reading Material
A focused survey of PINN improvements via transfer learning and meta-learning, addressing PINN's notorious convergence difficulty and the need to re-optimize on every PDE parameter change - the engineering reference for productionizing PINNs.
arXiv preprint (copyright held by authors) PINNTransfer LearningMeta Learning

Embedding Physics Priors in Robot Learning: A Survey

Multibody
A survey on embedding physics priors in robot learning, covering how physical constraints like contact mechanics, rigid-flexible coupling, and multibody dynamics improve sample efficiency and reliability of learned policies.
See LICENSE file robot learningphysics priorsmultibody dynamics
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