Using upwind differencing for two dimensional expansion flow in parallel channels (upwind differencing for dzdx and dzdy):
1) Derive all equations
2) Non-dimensionalize the vorticity transport equation,
3) Solve the coupled non-dimensional equations with the appropriate boundary conditions (*Stream and vorticity*)
4) Stability analysis of convection diffusion model
5) Use Von Neumann Linear Stability Analysis
6) Test for large delta x
7) Determine artificial viscosity effect
8) Use Re=500 for large Re