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Finite Rate Chemistry Setup for Hypersonic Flow

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Old   April 5, 2011, 15:09
Default Finite Rate Chemistry Setup for Hypersonic Flow
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Jeff Parrish
Join Date: Jan 2011
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I've tried to provide a thorough description of my problem without overloading it with detail. If anyone has specific questions I'd be glad to provide as much info as I can.

For the past several months I've been putting together a solver setup for Fluent (12.0.16) to handle external hypersonic flow. The application problems will be 2D airfoil sections, 3D wings, and possibly simplified 3D vehicles.

I've gotten reasonable results for most of the validation cases I've run, at least as far as flow features: shock types and angles look right, expansion fans, boundary layer formation, etc show up where they're supposed to. The general flowfield looks good. However, the magnitude of surface profiles are way off, such as temperature and pressure distributions being off by an order of magnitude or more.

The biggest suspect to me is the chemistry. I looked into including finite-rate reactions early on, but had a lot of trouble getting them to run properly, so I dropped them. The target simulations will be run at fairly low ambient pressures (<1,000 Pa), and toward the lower hypersonic range (M=5.0-10.0). I was hoping that the errors would be acceptable, but that doesn't seem to be the case.

So I've turned back to including the finite-rate chemistry. I can converge to a reasonable solution with species transport, everything except reactions, but the moment I turn on the reactions Fluent fails. I was hoping someone here would be able to point me in the right direction or find a flaw in my chemistry model.

The general solver and model settings I'm using are:
  • Density-Based Solver, Steady-State
  • Energy Equation On
  • k-w SST Turbulence Model
  • Discrete Ordinate Radiation Model
  • Species Transport, Volumetric Reactions, Eddy-Dissipation Concept Model
  • Aungier-Redlich-Kwong Real Gas Model for Density
  • Pressure Inlet/Outlet BCs, Wall BCs
  • Boundary Turbulence Specification: I = 0.05%, Turbulent Viscosity Ratio = 1.0
  • Calculating in Absolute Pressure (0 Pa Operating Pressure)
  • AUSM Gradient Method
  • All equations second order
  • Solution Steering - Hypersonic, No FMG Initialization
If I left anything out, it's probably left as default, but feel free to ask.

I've poured over the Fluent docs to make sure I'm not missing some incompatibility between these models, and worked through all the tutorials I can find that relate. I have had trouble finding a good tutorial for setting up a custom chemistry model, or a solid hypersonic tutorial, although I have seen them referenced in several places.

The chemistry model I'm using is a 5-species, 5-reaction model:

Species Transport, Volumetric Reactions, Eddy Dissipation Concept
Third Body Efficiencies (for dissociation reactions), Calculate Backward Rates

Species:
N2, O2, N, O, NO

Reactions and Arrhenius Parameters:
(A = Pre-Exponential Factor, beta = Temperature Exponent, Ea = Activation Energy)

Oxygen Dissociation:
  • O2 + M' -> O + O + M'
  • A = 2.70 e+19, beta = -1.00, Ea = 494,000 J/kgmol
  • Rate Exponent: [O2] = 2.00
Nitrogen Dissociation:
  • N2 + M'' -> N + N + M''
  • A = 3.70 e+21, beta = -1.60, Ea = 941,000 J/kgmol
  • Rate Exponent: [N2] = 2.00
NO Dissociation:
  • NO + M''' -> N + O + M'''
  • A = 2.90 e+15, beta = 0.00, Ea = 621,000 J/kgmol
  • Rate Exponent: [NO] = 2.00
N2-O Exchange:
  • N2 + O -> NO + N
  • A = 1.82 e+14, beta = 0.00, Ea = 319,000 J/kgmol
  • Rate Exponents: [N2] = 1.00, [O] = 1.00
NO-O Exchange:
  • NO + O -> N + O2
  • A = 3.80 e+9, beta = 0.00, Ea = 173,100 J/kgmol
  • Rate Exponents: [NO] = 1.00, [O] = 1.00
Third Body Efficiencies:
M' vs:
  • O2 = 1.00
  • N2 = 0.10
  • O = 2.80
  • N = 0.10
  • NO = 0.10
M'' vs:
  • O2 = 0.10
  • N2 = 1.00
  • O = 0.10
  • N = 2.80
  • NO = 0.10
M''' vs:
  • O2 = 0.05
  • N2 = 0.05
  • O = 1.00
  • N = 1.00
  • NO = 1.00
Boundary Species Distribution:
  • NO - 0.0
  • N - 0.0
  • O - 0.0
  • O2 - 0.209476
  • N2 - Bulk Species

I can attach screenshots of exactly how I've set these up in Fluent if it will help. I pulled the parameters and model from a paper I can dig up if someone wants. I pulled the reaction orders from the NIST Kinetics Database.

My grids vary; some are structured, some are unstructured. All use near-wall placement of cells to capture boundary layer effects (Y+ < 10). Some examples of the cases I've been running are:
  • Diamond airfoils with various wedge angles
  • Cylinder cases
  • Ramp in wind tunnel
  • Step in wind tunnel
  • etc...
I can provide more details on the specific validation cases I'm running if requested. For now I'm focusing on the ramp case, which can be found here: http://www.grc.nasa.gov/WWW/wind/val...p/hypramp.html

The solution residuals will converge to 1e-6 without much trouble. General flow field and, where applicable, drag monitors also indicate convergence. When reactions are turned on, I receive the following error:

dasac failure at temperature = ...

I've seen this error pop up many times on these forums, but it never seems to get a solid reply. Hopefully I've provided enough information here for someone to point me in the right direction. This site has been a fantastic resource for sorting out problems, and I appreciate any help you can provide.
Far, malki, mayo_0 and 3 others like this.
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