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
• 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

results or convergence

• Tolerances (in 2 iterations)
  • Residual Norm = 6.425e-14
  • L2Error converges to 1.003e-07
  • Heat Flux converges to 3.794e-01
  • Heat Flux Error converges to 3.268e-06
  • Linf of Heat Flux Error converges to 1.059e-04
  • Compared to truth files with tolerance of 

tol: 1.0 1.0 1.0 0.1 e-12 e-12 e-12 e-12
Adapt tol : 1.0 e-10 e-10 e-10

Case Details

Scalar2d_CircleBoundaryLayer

Scalar2d_CircleBoundaryLayer_Adapt

ScalarBoundaryLayer_HDG