emhayki / CFD-Fundamental

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

This repository presents an implementation of Prof. Lorena A. Barba's "12 Steps to Navier-Stokes" 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++ code incorporates matplotlibcpp.h, a library offering Matplotlib-like plotting functionality. Simply include this header in your project and ensure Python with Matplotlib is installed.