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''Flow parameters:''

• Vortex Flow
  Image Added
  Image Added
  • V_x = V_∞ sin(θ)
  V_y = V_∞ cos(θ)
  • Boundary Condition:
    • 
    • ν is the non-dimensional viscosity
    • R=1
    • c=0.59 (to mimic the real boundary layer)
  • Heat source on inner radius boundary
    • S(r,θ)
  • Non-dimensional viscosity: ν = 10^-2

• Solver parameters:
  • Equation Set: Scalar 2D
  • Nonlinear Solver: Newton
  • Basis Type: Hierarchical
  • Initial/Max CFL: 10³⁰
  • Target residual: 10^-11
  • Preconditioning:
    • Type: ILU (Left)
    • Reordering: MDF
    • Outer GMRES iterations (# restarts): 20
    • Inner GMRES iterations (# Krylov vectors): 200

• Tested Outputs
  • L₂ error (compared to an exact solution function)
  • Numerical heat flux on inner boundary
  • Exact heat flux error on inner boundary
    • Q_exact =
  • L_∞ of the exact heat flux error

• Picture of Source Boundary