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titleCase 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 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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titleBoundary conditions:
  • Picture of Source Boundary
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titleCase

...

1 (Non-Adaptive):
  • Solution Order: 2

All tested outputs converge in 2 iterations with a tolerance of 10-12

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titleMesh and Heat Contour:
  • Picture of Source Boundary
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titleCase 2 (Adaptive):
  • Heat Flux Adjoint Residual (Mesh Adaptive Case)

adaptation

  • Solution Order =

...

  • 1
  • Adaptation Iterations = 2
  • Adaptation Method = Fixed Fraction
  • Output Adapted = Heat Flux
  • Anisotropy Method = Hessian

    results or convergence

    ...

      • Adapt tol : e-

    ...

      • 10
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    titleAdapted Meshes and Heat Contour:

    ...

    Case Details

    Scalar2d_CircleBoundaryLayer

    ...