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• 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
  
• L_∞ of the exact heat flux error

• Scalar Convective Diffusion Equation
  

• Vortex Flow
  
  where
  

• Boundary Condition:
  
  where
  

• Derived Heat Source:
  
  where
  

• Non-dimensional viscosity:
  

• Solution Order: 2
• Iterations to solve: 2
• All outputs tested to a tolerance of 10^-12

Job File:
Scalar2d_CircleBoundaryLayer