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