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titleOverview

The Scalar Sin HDG case... involves a heat source being applied to a vortex flow around a circular annulus of radius r = [ 1 , 2 ]. The numerical heat flux at the inner boundary is checked with the analytical heat flux at the inner boundary to a specified tolerance. All boundaries are set to a thermal condition which is a function of r and θ. The applied heat source is also a function of r and θ, and the initial condition is set to 1.

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titleTemperature Distribution:

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titleCase 1 (Non-AdaptiveILUK):
  • 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 (AdaptiveUMFPACK):
  • 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:


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