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graphs:

  • geom
  • grids
  • solution

what is tested?

  • L2 error of ExactSolutionFunction
  • Heat Flux on Boundary Group 1
  • Exact Heat Flux Error on Boundary Group 1
  • Linf of the Exact Heat Flux Error
  • Heat Flux Adjoint Residual (Mesh Adaptive Case)

equations

  • Scalar 2D
  • Solution Order = 2 (non-adaptive)
  • Basis Type = Hierarchical

flow conditions

  • SourceFunction = ScalarCircleBoundaryLayerSource
  • Viscosity = 1e-2
  • VelocityFunction = Vortex Flow

numerical parameters

  • CFL = 1e30
  • target residual = 1e-11
  • Nonlinear Solver = Newton
  •  Preconditioner = ILU
  • Preconditioner Side = Left
  • ReorderingType = MDF
  • # GMRES outer iterations = 20
  • # GMRES inner iterations = 200

adaptation

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

results or convergence

  • Both cases reach tolerances in 2 iterations
  • Compared to truth files with tolerance of 
    • tol: e-12
    • Adapt tol : e-10

Case Details

Scalar2d_CircleBoundaryLayer

Scalar2d_CircleBoundaryLayer_Adapt

ScalarBoundaryLayer_HDG

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