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Case Information:
  • Flow parameters:
    • Vortex Flow
    • Heat source on inner radius boundary
    • Non-dimensional viscosity: 10^-2^
  • Solver parameters:
    • Equation Set: Scalar 2D
    • Nonlinear Solver: Newton
    • Basis Type: Hierarchical
    • 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)
    • Heat flux on inner boundary
    • Exact heat flux error on inner boundary
    • Linf of the exact heat flux error
Boundary conditions:
  • Picture of Source Boundary
Case 1 (Non-Adaptive):
  • Solution Order: 2

All tested outputs converge in 2 iterations with a tolerance of 10^-12^

Mesh and Heat Contour:
  • Picture of Source Boundary
Case 2 (Adaptive):
  • Heat Flux Adjoint Residual (Mesh Adaptive Case)
  • Solution Order =1
  • Adaptation Iterations = 2
  • Adaptation Method = Fixed Fraction
  • Output Adapted = Heat Flux
  • Anisotropy Method = Hessian
    • Adapt tol : e-10
Adapted Meshes and Heat Contour:

Case Details

Scalar2d_CircleBoundaryLayer

Scalar2d_CircleBoundaryLayer_Adapt

ScalarBoundaryLayer_HDG

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