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titleGeneral Case Information:
  • Flow parameters:
    • Vortex Flow
    • Heat source on inner radius boundary
    • Non-dimensional viscosity: 10^10{^}-2^
  • Solver parameters:
    • Equation Set: Scalar 2D
    • Nonlinear Solver: Newton
    • Basis Type: Hierarchical
    • CFL: 1030
    • target residual: 10^10{^}-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

Case Specific Details

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titleCase 1 (Non-Adaptive):
  • Solution Order: 2
All tested outputs converge in 2 iterations with a tolerance of 10^-12^
  • Tested Tolerance: 10-12 (for all tested outputs)
  • Iterations to solve: 2
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titleCase 1 Mesh and Heat Contour:
  • Picture of Source BoundaryMesh and Heat Contour
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titleCase 2 (Adaptive):
  • Heat Flux Adjoint Residual (Mesh Adaptive Case)
  • Solution Order = 1
  • Additional tested outputs: Heat flux adjoint residual
  • Adaptation Iterations = 2
  • Adaptation Method = Fixed Fraction
  • Output Adapted = Heat Flux
  • Anisotropy Method = Hessian
    • Adapt tol : e-10
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titleCase 2 Adapted Meshes and Heat Contours:
  • Picture of Adapted Meshes and Heat Contours

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