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titleSolver Parameters:
  • 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
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titleFlow Conditions:
  • Vortex Flow

  • Boundary Condition:
  • Heat Source:

    where
  • Non-dimensional viscosity:

Case Specific Details

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titleCase 1 (Non-Adaptive2D):
  • Solution Order: 2
  • Iterations to solve: 2
  • All outputs tested to a tolerance of 10-12

Job File:
Scalar2d_CircleBoundaryLayer

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titleCase 1 Mesh

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titleCase 2 (Adaptive3D):
  • 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 outputs tested to a tolerance of 10-10

Job File:
Scalar2d_CircleBoundaryLayer_Adapt

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titleCase 2 Adapted Meshes:


Case DetailsJobfile

CutCell_Circle_Interface_Scalar2d

ScalarBoundaryLayer_HDGCase Details
BoundaryLayer_Scalar3D