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CFD_Julia

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