# CFD_Julia

**Repository Path**: zhangchao990915/CFD_Julia

## Basic Information

- **Project Name**: CFD_Julia
- **Description**: This repository contains fundamental codes related to CFD that can be included in any graduate level CFD coursework. 
- **Primary Language**: Unknown
- **License**: GPL-3.0
- **Default Branch**: master
- **Homepage**: None
- **GVP Project**: No

## Statistics

- **Stars**: 0
- **Forks**: 1
- **Created**: 2022-01-11
- **Last Updated**: 2023-05-09

## Categories & Tags

**Categories**: Uncategorized

**Tags**: None

## README

# CFD_Julia
This repository contains fundamental codes related to CFD that can be included in any graduate level CFD coursework. 

# Published manuscript
For more details on this work, please refer CFD Julia: A Learning Module Structuring an Introductory Course on Computational Fluid Dynamics (https://www.mdpi.com/2311-5521/4/3/159)

Below is the summary of all codes included in CFD_Julia module. 

| Index | Description |
| --- | --- |
| 01 | 1D heat equation: Forward time central space (FTCS) scheme |
| 02 | 1D heat equation: Third-order Runge-Kutta (RK3) scheme |
| 03 | 1D heat equation: Crank-Nicolson (CN) scheme |
| 04 | 1D heat equation: Implicit compact Pade (ICP) scheme |
| 05 | 1D inviscid Burgers equation: WENO-5 with Dirichlet and periodic boundary condition |
| 06 | 1D inviscid Burgers equation: CRWENO-5 with Dirichlet and periodic boundary conditions |
| 07 | 1D inviscid Burgers equation: Flux-splitting approach with WENO-5|
| 08 | 1D inviscid Burgers equation: Riemann solver approach with WENO-5 using Rusanov solver |
| 09 | 1D Euler equations: Roe solver, WENO-5, RK3 for time integration |
| 10 | 1D Euler equations: HLLC solver, WENO-5, RK3 for time integration |
| 11 | 1D Euler equations: Rusanov solver, WENO-5, RK3 for time integration |
| 12 | 2D Poisson equation: Finite difference fast Fourier transform (FFT) based direct solver |
| 13 | 2D Poisson equation: Spectral fast Fourier transform (FFT) based direct solver |
| 14 | 2D Poisson equation: Fast sine transform (FST) based direct solver for Dirichlet boundary |
| 15 | 2D Poisson equation: Gauss-Seidel iterative method |
| 16 | 2D Poisson equation: Conjugate gradient iterative method |
| 17 | 2D Poisson equation: V-cycle multigrid iterative method  |
| 18 | 2D incompressible Navier-Stokes equations (cavity flow): Arakawa, FST, RK3 schemes |
| 19 | 2D incompressible Navier-Stokes equations (vortex merging): Arakawa, FFT, RK3 schemes |
| 20 | 2D incompressible Navier-Stokes equations (vortex merging): Hybrid RK3/CN approach |
| 21 | 2D incompressible Navier-Stokes equations (vortex merging): Pseudospectral solver, 3/2 dealiasing, Hybrid RK3/CN approach |
| 22 | 2D incompressible Navier-Stokes equations (vortex merging): Pseudospectral solver, 2/3 dealiasing, Hybrid RK3/CN approach |