A sequence of Jupyter notebooks featuring the "12 Steps to Navier-Stokes" http://lorenabarba.com/

PDEBench: An Extensive Benchmark for Scientific Machine Learning

Python script for Linear, Non-Linear Convection, Burger’s & Poisson Equation in 1D & 2D, 1D Diffusion Equation using Standard Wall Function, 2D Heat Conduction Convection equation with Dirichlet & Neumann BC, full Navier-Stokes Equation coupled with Poisson equation for Cavity and Channel flow in 2D using Finite Difference Method & Finite Volume…

This repository is the official implementation of the paper Convolutional Neural Operators for robust and accurate learning of PDEs

ExaDG - High-Order Discontinuous Galerkin for the Exa-Scale

Implementation of the 12 steps approach to the Navier-Stokes equations, essential for simulating fluid dynamics.

A Python library for solving any system of hyperbolic or parabolic Partial Differential Equations. The PDEs can have stiff source terms and non-conservative components.

[ICLR 2025] Neural Operator-Assisted Computational Fluid Dynamics in PyTorch

Python implementation of solvers for differential algebraic equation's (DAE's) that should be added to scipy one day.

Python script solving the Burgers' equation (équation de Burgers) 1D by using FFT pseudo-spectral method.

FV based Navier-Stokes / Transport Equation / Conservation Law Solver for Procedural World Simulation. Designed for CFD learning purposes.

My attempt at fluid simulation with the Navier Stokes equations

It uses Navier-Stokes equation as the physical model, the numerical solution obtained by real-time calculation includes scalar and velocity fields displayed in the OpenGL control. Users have a choice of 64x64 and 128x128 resolutions and 7 color options.|使用纳维-斯托克斯方程作为物理模型，实时计算得到的数值解便是标量场及速度场的分布情况，并显示在OpenGL控件中。用户有64x64和128x128两种分辨率以及7种颜色选项可供选择。

PDE solver focused on Navier-Stokes (and related) equations with arbitrary boundary conditions, employing Fourier (FC-Gram) expansions. Parallelized using MPI-OpenMP-CUDA.

ME 50900 - Intermediate Fluid Mechanics

Basic CFD simulation of thermally driven fluid flow and solid-liquid phase change problems

This repository introduces Partial Differential Equation Solver using neural network that can learn resolution-invariant solution operators on Navier-Stokes equation. Solving PDE is the core subject of numerical simulation and is widely used in science and engineering, from molecular dynamics to flight simulation, and even weather forecasting.

A rewrite of my fluid simulation project entirely in Rust

This repository contains the MATLAB implementation of popular numerical methods in Computation Fluid dynamics. Starting from simple methods like Gauss Elimination, ADI method to advance methods like Rhie-chow interpolation, SIMPLE are implemented. This was done as a part of the CFD course offered at IIT Gandhinagar 2021.

Приведена архитектура нейронной сети, основанной на преобразовании Фурье для решения УЧП Навье-Стокса