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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