Algorithm

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Algorithm

• Artificial compressibility
• Symmetric Coupled Gauss Seidel Parallel Pressure
  (SCGS-PP)
• 1st, 3rd and 5th order convective schemes
• 2nd, 4rd and 6th order representations for the
  diffusive, pressure gradient and divergence terms
• Collocated and staggered grids
• Nth order fully implicit time integration
• Explicit time integration possible (convection
  diffusion)
• Multigrid (collocated grid code)
• Parallelized using Message Passing Interface
  (MPI) and domain decomposition.
• Immersed boundary method for complicated
  geometry's

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Compressible N-S equations

• The artificial compressibility method for the
  incompressible N-S equations is essentially
  equivalent to low Mach number preconditioning for
  the compressible N-S equations.
• Since we are interested in subsonic flows the
  differencing schemes should not have to change.
• The current capability of N scalars will be
  replaced with N ideal gases. This will ease the
  addition of reactions in possible future work.

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Results

• Normal injection, blowing ratio of .5
• 2.14 million grid points with heat transfer , Re
  2000
• 3.5 million grid points with a plenum, Re 4700
• 5.2 million grid points with heat transfer , Re
  2000
• No perturbations in flow field

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Top view
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Side view
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Budgets

• Term by term analysis of RANS models
• Determine validity of various turbulence model
  assumptions for this class of flows.
• Bottom Line Improvements in turbulence models
  for film cooling.

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GOALS

• Use DNS data to improve RANS models for film
  cooling.
• DNS provides a wealth of information on all
  aspects of a flow
• Use this information to do term by term analysis
  of RANS models
• Determine validity of various turbulence model
  assumptions for this class of flows.
• Bottom Line Improvements in turbulence models
  for film cooling.

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2.14 million grid points
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3.5 million grid points with plenum
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