• Flow parameters:
  • Vortex Flow
  • Heat source on inner radius boundary
  • Non-dimensional viscosity: 10^-2

• Solver parameters:
  • Equation Set: Scalar 2D
  • Nonlinear Solver: Newton
  • Basis Type: Hierarchical
  • 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)
  • Heat flux on inner boundary
  • Exact heat flux error on inner boundary
  • L_inf of the exact heat flux error

• Picture of Source Boundary

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

Job File
Scalar2d_CircleBoundaryLayer

• Picture of Mesh and Heat Contour

• Solution Order = 1
• Additional tested outputs: Heat flux adjoint residual

• Adaptation parameters:
  • Adaptation Iterations: 2
  • Adaptation Method: Fixed fraction
  • Output Adapted: Heat flux
  • Anisotropy Method: Hessian

• Iterations to solve on each mesh: 2
• All tested outputs confirmed with a tolerance of 10^-10

Job File
Scalar2d_CircleBoundaryLayer_Adapt

• Picture of Adapted Meshes and Heat Contours