实现Navier-Stokes方程模拟流体动力学附matlab代码.zip

[](https://doi.org/10.21105/jose.00021) This repository presents an implementation of Prof. Lorena A. Barba's ["12 Steps to Navier-Stokes"](https://github.com/barbagroup/CFDPython) tutorial, featuring a methodical approach to understanding and solving the Navier-Stokes equations for fluid flow simulation. Within this repository, you'll find **MATLAB, Python, and C++** code for each of the 12 steps, accompanied by in-depth explanations and references. ## Contents - **Steps 1 to 4 in 1D** 1) Linear Convection 2) Nonlinear Convection 3) Diffusion 4) Burgers' Equation - **Steps 5 to 10 in 2D** 5) Linear Convection 6) Nonlinear Convection 7) Diffusion 8) Burgers' Equation 9) Laplace Equation 10) Poisson Equation - **Steps 11 to 12 - Navier-Stokes Equation in 2D** 11) Cavity Flow 12) Channel Flow ## C++ and `matplotlibcpp.h` The C++ codes use [`matplotlibcpp.h`](https://github.com/lava/matplotlib-cpp), a C++ library that provides Matplotlib-like plotting functionality. To use it, include `matplotlibcpp.h` in your C++ project and ensure Python with Matplotlib is installed.