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Let's test some of the ProjectX solvers for the case of a NACA0012 (? check ?) airfoil (2D) in compressible, inciscid flow:

Panel
Parameters
titleInputs:
  • Common flow parameters:
    • Freestream Mach number: M ∞ = 0.5
    • Angle of attack: α = 0 °
    • Total pressure: Pt
    ;
    • =
    • Total temperature: Tt
    ;
    • =
    • Static temperature:
    • CFL: 1030
  • Common solver parameters:
    • Preconditioning:
      • Outer GMRES iterations (no. restarts): 20
      • Inner GMRES iterations (no. Krylov vectors): 200
    • Solution order: 2
    • PSequencing: False

Tests on linear solvers:

Section
Column
width50%
Panel
titleNewton-Jacobi (Left):
  • Solvers:
    • Nonlinear: Newton
    • Preconditioner: Block Jacobi (left)
  • Results:
    • Residual norm converges to 4.36·10^-13^ after 5 iterations
    • Drag coefficient: CD = .53 counts
    • Lift coefficient:

...

    • CL = .96 counts
Column
width50%
Panel
titleNewton-Jacobi (Right):
  • Solvers:
    • Nonlinear: Newton
    • Preconditioner: Block Jacobi (right)
  • Results:
    • Residual norm converges to 4.35·10^-13^ after 5 iterations
    • Drag coefficient: CD = .53 counts
    • Lift coefficient: CL = .96 counts
Section
Column
width50%
Panel
titleNewton-ILU
  • Solvers:
    • Nonlinear: Newton
    • Preconditioner: Incomplete LU (0) (left)
  • Results:
    • Residual norm converges to 4.357·10^-13^ after 5 iterations
    • Drag coefficient: CD = .5318 counts
    • Lift coefficient: CL = .9638 counts
Column
width50%
Panel
titleNewton-ILU (Parallel)
  • Solvers:
    • Nonlinear: Newton
    • Preconditioner: Jacobi (right)
  • Results:
    • Residual norm converges to 4.36·10^-13^ after 5 iterations
    • Drag coefficient: CD = .5318 counts
    • Lift coefficient: CL = .9638 counts
Section
Column
width50%
Panel
titleNewton-ILUT
  • Solvers:
    • Nonlinear: Newton
    • Preconditioner: Threshold-based Incomplete LU (ILUT) (right)
      • Reordering type: Block Minimum Discarded Fill (MDF)
      • Fill level: 2
      • Drop threshold: 10^-3^
  • Results:
    • Residual norm converges to 4.36·10^-13^ after 5 iterations
    • Drag coefficient: CD = .53 counts
    • Lift coefficient: CL = .96 counts
Column
width50%
Panel
titleNewton-UMFPACK
  • Solvers:
    • Nonlinear: Newton
    • Preconditioner: UMFPACK (right)
  • Results:
    • Residual norm converges to 4.36·10^-13^ after 5 iterations
    • Drag coefficient: CD = .5318 counts
    • Lift coefficient: CL = .9638 counts
Section
Column
width50%
what this solver tests
result
Panel
titleNewton-ILU-ASM-MG (Parallel)
  • Solvers:
    • Nonlinear: Newton
    • Preconditioner: Jacobi
    • (left)
  • Results:
    • Residual norm converges to 4.36·10^-13^ after 5 iterations
    • Drag coefficient: CD = .53 counts
    • Lift coefficient: CL = .96 counts
Column
width50%
what this solver tests
result
Panel
titleNewton-ILU
-ASM (Parallel)
  • Solvers:
    • Nonlinear: Newton
    • Preconditioner: Jacobi (right)
  • Results:
    • Residual norm converges to 4.36·10^-13^ after 5 iterations
    • Drag coefficient: CD = .5318 counts
    • Lift coefficient: CL = .9638 counts
-ILUT
Section
Column
width50%
Panel
titleLean Jacobi
  • Solvers:
    • Nonlinear: Newton
    • Preconditioner: Jacobi (left)
  • Results:
    • Residual norm converges to 4.36·10^-13^ after 5 iterations
    • Drag coefficient: CD = .53 counts
    • Lift coefficient: CL = .96 counts
Column
width50%
what this solver tests
result
Panel
titleNewton-Osher
  • Solvers:
    • Nonlinear: Newton
    • Preconditioner: Jacobi (right)
  • Results:
    • Residual norm converges to 4.36·10^-13^ after 5 iterations
    • Drag coefficient: CD = .5318 counts
    • Lift coefficient: CL = .9638 counts
what this solver tests
result