zhoutz/cfd_julia

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

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