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title	General Case Information:

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 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
- Linf of the exact heat flux error

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title	Boundary conditions:

Picture of Source Boundary

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title	Case 1 (Non-Adaptive):

Solution Order: 2Tested Tolerance: 10^-12 (for all tested outputs)
Iterations to solve: 2
All tested outputs confirmed with a tolerance of 10^-12

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title	Case 1 Mesh and Heat Contour:

Picture of Mesh and Heat Contour

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title	Case 2 (Adaptive):

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
Tested Tolerance: 10^-10 (for all tested outputs)

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

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title	Case 2 Adapted Meshes and Heat Contours:

Picture of Adapted Meshes and Heat Contours

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