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titleBoundary conditions:

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titleInput Primal X-Momentum:

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titleNewton-Jacobi (Left):
  • Nonlinear solver:
    • Newton
  • PreconditionerLinear solver:
    • Proconditioner: Block Jacobi (left)
    • 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 (right)
    • 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-ILU:
  • Nonlinear solver:
    • Newton
  • Linear solver:
    • Preconditioner:
    • Incomplete LU (0) (left)
    • Reordering type: Minimum discarded fill
    • Side: Left
  • Serial results:
    • Residual norm converges to 4.3566·10-13 after 5 iterations
    • Drag coefficient: CD = .5318 counts
    • Lift coefficient: CL = .9638 counts
  • Parallel results:
    • Residual norm converges to 4.3501·10-13 after 5 iterations
    • Drag coefficient: CD = .5318 counts
    • Lift coefficient: CL = .9638 counts
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titleNewton-ILUKILUT:
  • Nonlinear solver:
    • Newton
  • Linear solver:
    • Preconditioner:

    ** ?? Incomplete LU (ILUK)
    • Threshold-based Incomplete LU (ILUT)
    • Reordering type: Minimum discarded fill
    • Side: Right
    • Drop threshold: 10-3
  • Serial results:
    • Residual norm converges to 4.3538·10-13 after 5 iterations
    • Drag coefficient: CD = .5318 counts
    • Lift coefficient: CL = .9638 counts
  • Parallel results:
    • Residual norm converges to 4.3539·10-13 after 5 iterations
    • Drag coefficient: CD = .5318 counts
    • Lift coefficient: CL = .9638 counts
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titleNewton-ILU Multigrid:
  • Nonlinear solver:
    • Newton
  • Linear solver:
    • Incomplete LU (0) (left) preconditioner
      • Reordering type: Minimum discarded fill
      • Side:
      Left
      • Right
    • P = 0 linear multigrid for coarse correction
  • Serial results:
    • Residual norm converges to 3.8091·10-13 after 5 iterations
    • Drag coefficient: CD = .5318 counts
    • Lift coefficient: CL = .9638 counts
  • Parallel results:
    • Residual norm converges to 4.3501·10 4.??·10-13 after 5 iterations
    • Drag coefficient: CD = .53 5318 counts
    • Lift coefficient: CL = .96 counts9638 counts
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titleNewton-ILU-ASM (with/without multigrid):
  • Nonlinear solver:
    • Newton
  • Linear solver:
    • Preconditioner: Incomplete LU (ILU)
    • Parallel preconditioner: Additive Schwarz Method (ASM)
    • Side: Right
    • Reordering type: Minimum discarded fill
    • Outer GMRES iterations: 2
    • Inner GMRES iterations: 20
  • Parallel results (without multigrid)Parallel results:
    • Residual norm converges to 4.3545·10.3736·10-13 after 5 iterations
    • Drag coefficient: CD = .5318 counts
    • Lift coefficient: CL = .9638 counts
  • Parallel results (with multigrid):
    • Residual norm converges to 3.8106·10-13 after 5 iterations
    • Drag coefficient: CD = .5318 counts
    • Lift coefficient: CL = .9638 counts
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titleNewton-UMFPACK:
  • Nonlinear solver:
    • Newton
  • Linear solver:
    • Preconditioner:
    • Threshold-based Incomplete LU
    • Side: Right
    • Reordering type: Minimum discarded fill
  • Serial results:
    • Residual norm converges to 4.3559·10-13 after 5 iterations
    • Drag coefficient: CD = .5318 counts
    • Lift coefficient: CL = .9638 counts
  • Parallel results:
    • Residual norm converges to 4.3506·10-13 after 5 iterations
    • Drag coefficient: CD = .5318 counts
    • Lift coefficient: CL = .9638 counts
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titleLean Jacobi:
  • Nonlinear solver:
    • Lean Jacobi
  • Linear solver:
    • Preconditioner:
    • None
  • Serial results:
    • Residual norm converges to 4.7345·10-4 after 200 iterations
    • Drag coefficient: CD = .5098 counts
    • Lift coefficient: CL = .9478 counts
  • Parallel results:
    • Residual norm converges to 4.7345·10-4 after 200 iterations
    • Drag coefficient: CD = .5098 counts
    • Lift coefficient: CL = .9478 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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