A curated list of repositories related to fluid dynamics.

Please send pull requests or raise issues to improve this list.

Contents

• Educational
  • Notebooks
  • Lecture Series
  • Books
• Meshing
• Computational Fluid Dynamics
  • Finite Difference Methods (FDM)
  • Finite Element Methods (FEM)
  • Finite Volume Methods (FVM)
  • Spectral Methods
  • Vortex Methods / Panel Methods / Blade Element Methods
  • Immersed Boundary Methods (IBM)
  • Weather and Climate
  • Building Energy and Urban Environments
  • Shallow Water / Ocean Dynamics
  • Lattice Boltzmann Methods (LBM)
  • Design and Optimization
  • Coupling
  • Chemical Kinetics
  • Supersonic / Hypersonic Flow
  • Differential programming
  • Neural Networks for PDE
  • Graphics
  • Other Techniques
• Experimental Fluid Dynamics
  • PIV / PTV
  • ML / Optical Flow
• Post-processing and Data Analysis
• Visualization
  • 2D Visualization
  • 3D Visualization
• Benchmarks and Datasets
  • Datasets
  • Benchmarks
• Reproducibility
• Community
• Related Topics

Educational

Notebooks

• barbagroup/CFDPython - A sequence of Jupyter notebooks featuring the “12 Steps to Navier-Stokes”.
• gpeyre/numerical-tours - Numerical Tours of Signal Processing and other materials.
• jfavre/Visualization-training - The material used for the Scientific Visualization course, organized online by the Swiss National Supercomputing Centre (CSCS) on May 17-18, 2021.

Lecture Series

• Steve Brunton/Fluid Dynamics - Prof. Brunton’s lecture series on Fluid dynamics.
• Steve Brunton/Reinforcement Learning - Prof. Brunton’s lecture series on Reinforcement Learning.
• Steve Brunton/Vector Calculus and Partial Differential Equations - Prof. Brunton’s lecture series on Vector Calculus and Partial Differential Equations.
• Barry Belmont/NSF Fluid Mechanics Series - A collection of NFS Fluid Mechanics lecutre series from mid 20th century.
• The Bright Side of Mathematics/Functional analysis - Lecture series on Functional analysis.
• MIT OpenCourseWare/MIT RES.6-012 Introduction to Probability, Spring 2018 - Lecture recording of Probabilistic Systems Analysis and Applied Probability.
• József Nagy/CFD basics - CFD basics and introduction to OpenFOAM.
• rmcelreath/stat_rethinking_2022 - Statistical Rethinking (2022 Edition) by Richard McElreath.
• Machine Learning & Simulation/Fenics Tutorial - Fenics Tutorial lecture series.

Books

• Brunton, S., & Kutz, J. (2019). Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control. Cambridge: Cambridge University Press. DOI :memo: Book :book:
• Castro, I. P., & Vanderwel, C. (2021). Turbulent Flows: An Introduction. IOP Publishing. DOI :memo: Book :book:
• Thuerey, N., Holl, P., Mueller, M., Schnell, P., Trost, F., & Um, K. (2021). Physics-based Deep Learning. Book :book:

Meshing

• nschloe/optimesh - Mesh optimization, mesh smoothing.
• nschloe/pygmsh - Gmsh for Python.
• nschloe/meshio - I/O for exhaustive number of mesh file types.
• PyMesh/PyMesh - Geometry Processing Library for Python.
• cnr-isti-vclab/meshlab - The open source mesh processing system.
• inducer/meshpy - 2D/3D simplicial mesh generator interface for Python (Triangle, TetGen, gmsh).
• gmsh - A three-dimensional finite element mesh generator with built-in pre- and post-processing facilities .
• CGAL/cgal - The Computational Geometry Algorithms Library (CGAL) is a C++ library that aims to provide easy access to efficient and reliable algorithms in computational geometry.

Computational Fluid Dynamics

Finite Difference Methods (FDM)

• p-costa/CaNS - A code for fast, massively-parallel direct numerical simulations (DNS) of canonical flows.

Finite Element Methods (FEM)

• JuliaFEM/JuliaFEM.jl - The JuliaFEM software library is a framework that allows for the distributed processing of large Finite Element Models across clusters of computers using simple programming models.
• FEniCS/dolfinx - Next generation FEniCS problem solving environment.
• deal.II - An open source finite element library.
• firedrakeproject/firedrake - Firedrake is an automated system for the portable solution of partial differential equations using the finite element method (FEM).
• KratosMultiphysics/Kratos - Kratos Multiphysics (A.K.A Kratos) is a framework for building parallel multi-disciplinary simulation software.
• FluidityProject/fluidity - An open-source computational fluid dynamics code with adaptive unstructured mesh capabilities.
• kinnala/scikit-fem - Simple finite element assemblers.

Finite Volume Methods (FVM)

• OpenFOAM/OpenFOAM-dev - OpenFOAM is a free, open source computational fluid dynamics (CFD) software package released by the OpenFOAM Foundation.
• su2code/SU2 - SU2: An Open-Source Suite for Multiphysics Simulation and Design.
• cselab/aphros - Finite volume solver for incompressible multiphase flows with surface tension.
• code-saturne/code_saturne - code_saturne public mirror.
• DelNov/T-Flows - T-Flows (stands for Turbulent Flows) is a Computational Fluid Dynamics (CFD) program, originally developed at Delft University of Technology, the Netherlands.
• ucns3d-team/UCNS3D - Unstructured Compressible Navier Stokes 3D code (UCNS3D).
• weymouth/WaterLily.jl - Fast and simple fluid simulator in Julia.
• MFlowCode/MFC - MFC is a compressible multiphase fluid solver with high-order-accurate shock- and interface-capturing and GPU support via OpenACC.
• nextfoam/Baram - BARAM is developed to mitigate the steep learning curve of Text-based Solvers. BARAM helps you focus on a problem itself with intuitive graphical user interface. For now, OpenFOAM® solvers modified by nextfoam are integrated into BARAM.

Spectral Methods

• DedalusProject/dedalus - A flexible framework for solving PDEs with modern spectral methods.
• FourierFlows/FourierFlows.jl - Tools for building fast, hackable, pseudospectral partial differential equation solvers on periodic domains.
• Nek5000/Nek5000 - NEK5000 is an spectral element CFD code developed at the Mathematics and Computer Science Division of Argonne National Laboratory.
• spectralDNS/shenfun - High performance computational platform in Python for the spectral Galerkin method.

Vortex Methods / Panel Methods / Blade Element Methods

• vortexmethods/VM2D - VM2D: Open-Source Code for 2D Flow Simulation by Using Meshless Lagrangian Vortex Methods.
• markstock/vic2d - Two-dimensional semi-Lagrangian vortex method for very low viscosity fluid simulation.
• gdeskos/DVMpp - 2D Discrete Vortex Method Code written in C++.
• byuflowlab/FLOWUnsteady - Mixed-fidelity unsteady aerodynamics and aeroacoustics.
• Applied-Scientific-Research/Omega2D - Two-dimensional flow solver with GUI using vortex particle and boundary element methods.
• camUrban/PteraSoftware - A fast, easy-to-use, and open-source software package for analyzing flapping-wing flight.

Immersed Boundary Methods (IBM)

• cwrowley/ibpm - Immersed Boundary Projection Method (IBPM).
• barbagroup/PetIBM - PetIBM - toolbox and applications of the immersed-boundary method on distributed-memory architectures.
• barbagroup/cuIBM - cuIBM: a GPU-based immersed boundary method code.
• ChenguangZhang/sdfibm - Immersed boundary method empowered by signed distance field, and OpenFOAM.
• IBAMR/IBAMR - An adaptive and distributed-memory parallel implementation of the immersed boundary (IB) method.

Weather and Climate

• wrf-model/WRF - Weather Research and Forecasting (WRF) model is a numerical weather prediction (NWP) system designed to serve both atmospheric research and operational forecasting needs.

Building Energy and Urban Environments

• NREL/EnergyPlus - EnergyPlus™ is a whole building energy simulation program that engineers, architects, and researchers use to model both energy consumption and water use in buildings.
• uDALES/u-dales - uDALES: large-eddy-simulation software for urban flow, dispersion and microclimate modelling.
• ladybug-tools/butterfly - :butterfly: A light python API for creating and running OpenFoam cases for CFD simulation.

Shallow Water / Ocean Dynamics

• jostbr/shallow-water - Python model solving the shallow water equations (linear momentum, nonlinear continuity).
• team-ocean/veros - The versatile ocean simulator, in pure Python, powered by JAX.
• CliMA/Oceananigans.jl - Julia software for fast, friendly, flexible, data-driven, ocean-flavored fluid dynamics on CPUs and GPUs.
• OceanParcels/parcels - Parcels (Probably A Really Computationally Efficient Lagrangian Simulator) is a set of Python classes and methods to create customisable particle tracking simulations using output from Ocean Circulation models.

Lattice Boltzmann Methods (LBM)

• aromanro/LatticeBoltzmann - A 2D Lattice Boltzmann program.
• lanl/MF-LBM - A Portable, Scalable and High-performance Lattice Boltzmann Code for DNS of Flow in Porous Media.
• unigespc/palabos - Palabos is an open-source CFD solver based on the lattice Boltzmann method.

Design and Optimization

• mdolab/dafoam - DAFoam: Discrete Adjoint with OpenFOAM for High-fidelity Gradient-based Design Optimization.
• peterdsharpe/AeroSandbox - Aircraft design optimization made fast through modern automatic differentiation.
• DARcorporation/xfoil-python - Stripped down version of XFOIL as compiled python module.

Coupling

• precice/precice - A coupling library for partitioned multi-physics simulations, including, but not restricted to fluid-structure interaction and conjugate heat transfer simulations.

Chemical Kinetics

• Cantera/cantera - Chemical kinetics, thermodynamics, and transport tool suite.

Supersonic / Hypersonic Flow

• matteobernardini/STREAmS - STREAmS performs Direct Numerical Simulations of compressible turbulent flows in Cartesian geometry solving the unsteady, fully compressible Navier-Stokes equations for a perfect gas.
• sergeas67/OpenHyperFLOW2D - 2D (flat/axisymmetrical) transient viscous compressible multicomponent sub/trans/supersonic reacting gas flow with RANS/URANS turbulence models.

Differential programming

• taichi-dev/taichi - Parallel programming for everyone.
• tum-pbs/PhiFlow - A differentiable PDE solving framework for machine learning.
• google/jax-cfd - Computational Fluid Dynamics in JAX.

Neural Networks for PDE

• lululxvi/deepxde - Deep learning library for solving differential equations and more.
• SciML/NeuralPDE.jl - Physics-Informed Neural Networks (PINN) and Deep BSDE Solvers of Differential Equations for Scientific Machine Learning (SciML) accelerated simulation.
• google/neural-tangents - Fast and Easy Infinite Neural Networks in Python.
• isl-org/DeepLagrangianFluids - Lagrangian Fluid Simulation with Continuous Convolutions.
• maxjiang93/space_time_pde - MeshfreeFlowNet: Physical Constrained Space Time Super-Resolution.

Graphics

• PavelDoGreat/WebGL-Fluid-Simulation - Play with fluids in your browser (works even on mobile).
• doyubkim/fluid-engine-dev - Fluid simulation engine for computer graphics applications.

Other Techniques

• PyFR/PyFR - Framework for solving advection-diffusion type problems on streaming architectures using the Flux Reconstruction approach of Huynh.
• pencil-code/pencil-code - A high-order finite-difference code for compressible hydrodynamic flows with magnetic fields and particles.
• NaluCFD/Nalu - Nalu: a generalized unstructured massively parallel low Mach flow code designed to support a variety of open applications of interest built on the Sierra Toolkit and Trilinos solver Tpetra solver stack.
• lesgo-jhu/lesgo - The Large-Eddy Simulation framework from the Turbulence Research Group at Johns Hopkins University.
• cornellius-gp/gpytorch - A highly efficient and modular implementation of Gaussian Processes in PyTorch.

Experimental Fluid Dynamics

PIV / PTV

• JHU-NI-LAB/OpenLPT_Shake-The-Box - Open-source C++ code for Shake-the-box, particle tracking algorithm.
• OpenPTV/openptv - OpenPTV - open source 3D-PTV software.
• OpenPIV/openpiv-python - OpenPIV consists in a Python and Cython modules for scripting and executing the analysis of a set of PIV image pairs.
• OpenPTV/pyptv - Python GUI for OpenPTV - open source three-dimensional particle tracking velocimetry.
• ronshnapp/MyPTV - Python based 3D-PTV - open source pure Python three-dimensional particle tracking velocimetry.

ML / Optical Flow

• erizmr/UnLiteFlowNet-PIV - Unsupervised learning of Particle Image Velocimetry. (ISC 2020).
• shengzesnail/PIV-LiteFlowNet-en - Particle image velocimetry via a deep neural network (LiteFlowNet).
• yongleex/PIV-DCNN - Perform PIV image pair match using deep conv neural network.

Post-processing and Data Analysis

• numpy/numpy - The fundamental package for scientific computing with Python.
• mathLab/PyDMD - Python Dynamic Mode Decomposition.
• dynamicslab/pysindy - A sparse regression package with several implementations for the Sparse Identification of Nonlinear Dynamical systems.
• ritchieng/eigenvectors-from-eigenvalues - This repository implements a calculation of eigenvectors from eigenvectors elegantly through PyTorch.
• mengaldo/PySPOD - A Python package for spectral proper orthogonal decomposition (SPOD).
• belson17/modred - An easy-to-use and parallelized library for finding modal decompositions and reduced-order models.
• Astroua/TurbuStat - Statistics of Turbulence Python Package.
• SURGroup/UQpy - UQpy (Uncertainty Quantification with python) is a general purpose Python toolbox for modeling uncertainty in physical and mathematical systems.
• haller-group/LCStool - LCStool: LCS Tool is a computational engine for analyzing fluid flows by extracting their most influential material surfaces, Lagrangian Coherent Structures.

Visualization

2D Visualization

• matplotlib/matplotlib - matplotlib: plotting with Python.
• scikit-image/scikit-image - Image processing in Python.
• 3b1b/manim - Animation engine for explanatory math videos.
• garrettj403/SciencePlots - Matplotlib styles for scientific plotting.
• mwaskom/seaborn - Statistical data visualization in Python.
• lukelbd/proplot - :art: A succinct matplotlib wrapper for making beautiful, publication-quality graphics.

3D Visualization

• K3D-tools/K3D-jupyter - K3D lets you create 3D plots backed by WebGL with high-level API (surfaces, isosurfaces, voxels, mesh, cloud points, vtk objects, volume renderer, colormaps, etc).
• sciapp/gr - GR framework: a graphics library for visualisation applications.
• QuantStack/ipygany - 3-D Scientific Visualization in the Jupyter Notebook.
• InsightSoftwareConsortium/itkwidgets - Interactive Jupyter widgets to visualize images, point sets, and meshes in 2D and 3D.
• NVIDIA/ipyparaview - iPython widget for server-side ParaView rendering in Jupyter.
• Kitware/Vtk - Visualization Toolkit.
• Kitware/paraview - An open-source, multi-platform data analysis and visualization application.
• pyvista/pyvista - 3D plotting and mesh analysis through a streamlined interface for the Visualization Toolkit (VTK).
• blender/blender - A free and open source 3D creation suite, supporting the entirety of the 3D pipeline-modeling, rigging, animation, simulation, rendering, compositing, motion tracking and video editing.

Benchmarks and Datasets

Datasets

• shengzesnail/PIV_dataset - PIV dataset.
• idies/pyJHTDB - Python wrapper for the Johns Hopkins turbulence database library.

Benchmarks

• dionhaefner/pyhpc-benchmarks - A suite of benchmarks for CPU and GPU performance of the most popular high-performance libraries for Python.
• su2code/TestCases - An extensive collection of common test cases for SU2.

Reproducibility

• iterative/dvc - Data Version Control, Git for Data & Models, ML Experiments Management.
• sphinx-doc/sphinx - Sphinx is a tool that makes it easy to create intelligent and beautiful documentation for Python projects.

Community

• CFD Online Forum - A free community for everyone interested in Computational Fluid Dynamics.

Related Topics

• alexlib/awesome_piv - A curated list of repositories related to PIV (particle image velocimetry).
• nschloe/awesome-scientific-computing - Curated list of awesome software for numerical analysis and scientific computing.
• qd-cae/awesome-CAE - A curated list of awesome CAE frameworks, libraries and software.
• awesomedata/awesome-public-datasets - A topic-centric list of HQ open datasets.