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Linear solver tests:
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titleWhat is being tested?

Listed below are the tolerances for the relevant data compared in the history files:

  • Solution update fraction: 0.1
  • Residaul norm: 10-10
  • Drag coefficient: 10-12
  • Lift coefficient: 10-12
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titleResidual convergence comparison:

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titleNewton-Jacobi (Left):
  • Nonlinear solver:
    • Newton
  • Linear solver:
    • Proconditioner: Block Jacobi
    • Side: Left
  • Serial results:
    • Residual norm converges to 4.3571·10-13 after 5 iterations
    • Drag coefficient: CD = .5318 counts
    • Lift coefficient: CL = .9638 counts
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titleNewton-Jacobi (Right):
  • Nonlinear solver:
    • Newton
  • Linear solver:
    • Preconditioner: Block Jacobi
    • Side: Right
  • Results:
    • Residual norm converges to 4.3532·10-13 after 5 iterations
    • Drag coefficient: CD = .5318 counts
    • Lift coefficient: CL = .9638 counts

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titleNewton-Osher:
  • Nonlinear solver:
    • Newton
  • Linear solver:
    • Preconditioner: Threshold-based Incomplete LU
    • Side: Left
    • Reordering type: Minimum discarded fill
  • Serial results:
    • Residual norm converges to 5.6482·10-14 after 38 iterations
    • Drag coefficient: CD = .5319 counts
    • Lift coefficient: CL = .9653 counts
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titleResidual convergence comparison:

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Adjoint solver tests:
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titleWhat is being tested?

Listed below are the tolerances for the relevant data compared in the history files:

  • Adjoint residual: 10-12
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titleAdjoint solution:

For the primal solution, please refer to the Newton-ILU case above.

  • Adjoint parameters:
    • Adjoint solution computed using drag as output
    • Sensitivity parameter: Angle of attack
    • Forward sensitivities are computed (i.e. dCD/dα with a tangent linearization)
  • Serial results:
    • Adjoint residual norm converges to 1.8574·10-15 after 2 iterations
    • dCD/dα (forward sensitivity): 1.6544·10-3
    • dCD/dα (adjoint): 1.6544·10-3
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titleAdjoint X-momentum:

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titleError estimate and drag over two adaptations (boundary-curved):

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titleError estimate and and over two adaptations (elasticity):