Lid Driven Cavity - Post 3

Code Files$^1$

1. Main.m (The file to be run)
2. streamfunc.m (Solves the stream vorticity function)
3. velocity.m (Solves the velocity function)
4. omega.m (Iterates the vorticity transport equation)
5. BC.m (Implements the Boundary conditions)
6. Upwind.m (Implements the upwind scheme)
7. rmse psi.m (Computes Errors)

Terminologies used in code$^2$

1. w = $\omega$(Vorticity)
2. psi = $\psi$(StreamFunction)
3. u = (U −V elocity)
4. v = (V −V elocity)
5. u0 = $u_0$(Lid Velocity)
6. psi_1 = $c_1$
7. gamma = $\gamma$ (Kinematic viscosity)
8. dx = ∆x
9. dy = ∆y
10. alpha = Relaxation parameter for stream vorticity function
11. alpha1 = Relaxation parameter for vorticity transport equation
12. x = (X −length) of cavity
13. y = (Y −length) of cavity
14. Nx = $N_x$(No of grid points along x-direction
15. Ny = $N_y$(No of grid points along y-direction
16. err - Percentage error in $\psi$
17. err1 - Percentage error in $\omega$
18. ERR1 - Error in stream vorticity equation
19. ERR2 - Error in vorticity transport equation

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$^1$ Link to code given under section Matlab Code URL
$^2$ Variable Names used in the Matlab code implementing the Stream Vorticity approach for the Modified Lid Driven Cavity Problem