Gamma Transition Models Reference

The Gamma Transition and SA Gamma Transition models allow you to solve for the turbulence intermittency γ to predict the onset of transition in a turbulent boundary layer.

Theory See Gamma Transition Models.
Provided By [physics continuum] > Models > Transition
Example Node Path Continua > Physics 1 > Models > Gamma Transition / SA Gamma Transition
Requires
  • Turbulence: Reynolds Averaged Navier-Stokes*
  • Reynolds-Averaged Turbulence: K-Omega Turbulence
  • K-Omega Turbulence Models: SST (Menter) K-Omega
  • Turbulence: Reynolds Averaged Navier-Stokes*
  • Reynolds-Averaged Turbulence: Spalart-Allmaras Turbulence
  • Rans Spalart-Allmaras Turbulence: Standard Spalart-Allmaras
  • Turbulence: Detached Eddy Simulation
  • Detached Eddy Simulation: SST (Menter) K-Omega Detached Eddy or Spalart-Allmaras Detached Eddy
Properties See Properties.
Activates Initial Conditions
  • Intermittency
See Initial Conditions.
Solvers
  • Gamma Transition
See Solvers.
Monitors
  • Intermittency
Field Functions
  • Intermittency
  • Specific Dissipation Rate Reynolds Number
  • Turbulence Intensity
See Field Functions.

Properties

Convection
Controls the convection scheme.
  • 1st-order: Selects the first-order upwind convection scheme.
  • 2nd-order: Selects the second-order upwind convection scheme.
Cross-Flow Term
Controls whether to apply a correlation for stationary cross-flow instabilities. The correlation accounts for transition that is triggered by surface roughnesses whose height is in the order of micrometers.

When On, modifies the transition trigger function Fonset (see Eqn. (1562)), which activates the production term in the equation for the transported intermittency γ. The default setting is Off.

Cross-flow parameters
Child node that provides the model constant C_scf, that is CSCF in Eqn. (1564), and the cross-flow inducing roughness height in meters h(m), that is h in Eqn. (1574). Increasing the default values accelerates the cross-flow induced transition.
Freestream Turb. Intensity (only for the SA Gamma Transition model)
The coefficient T U L , see Eqn. (1558).
Sigma_f
The coefficient σf, see Eqn. (1550).
ca2
The coefficient Ca2, see Eqn. (1556).
ce2
The coefficient Ce2, see Eqn. (1556).
Intermittency Minimum
The minimum value that the transported variable γ is permitted to have. An appropriate value is a small number that is greater than the floating point minimum of the computer.
Secondary Gradients
Neglect or include the boundary secondary gradients for diffusion and/or the interior secondary gradients at mesh faces.
  • On: Include both secondary gradients.
  • Off: Exclude both secondary gradients.
  • Interior Only: Include the interior secondary gradients only.
  • Boundaries Only: Include the boundary secondary gradients only.
CTU1
The coefficient CTU1, see Eqn. (1558).
CTU2
The coefficient CTU2, see Eqn. (1558).
CTU3
The coefficient CTU3, see Eqn. (1558).
Conset1
The coefficient Conset1, see Eqn. (1555).

Initial Conditions

Intermittency
Scalar profile value to specify the transported variable γ.

Gamma Transition Solver

This solver controls the solution of the Gamma transition model in all the continua for which the model is activated.

For the transported variable γ the basic steps that are involved in the solution update are as follows:

  • Update boundary conditions.
  • Compute the reconstruction gradients and cell gradients.
  • Create the linear system of equations using the discretization methods that are described in the K-Omega model formulation.
  • Compute the residual sum for monitoring convergence:
    R=cells |r|
  • Solve the linear system.
  • Update the transported variable field.
Under-Relaxation Factor
At each iteration, governs the extent to which the old solution is supplanted by the newly computed solution. The default value is 0.8. For the theoretical background, see Eqn. (920) in Finite Volume Discretization.
Reconstruction Frozen
When On, Simcenter STAR-CCM+ does not update reconstruction gradients with each iteration, but rather uses gradients from the last iteration in which they were updated. Activate Temporary Storage Retained in conjunction with this property. This property is Off by default.
Reconstruction Zeroed
When On, the solver sets reconstruction gradients to zero at the next iteration. This action means that face values used for upwinding (Eqn. (905)) and for computing cell gradients (Eqn. (917) and Eqn. (918)) become first-order estimates. This property is Off by default. If you turn this property Off after having it On, the solver recomputes the gradients on the next iteration.
Solver Frozen
When On, the solver does not update any quantity during an iteration. It is Off by default. This is a debugging option that can result in non-recoverable errors and wrong solutions due to missing storage. See Finite Volume Solvers Reference for details.
Temporary Storage Retained
When On, Simcenter STAR-CCM+ retains additional field data that the solver generates during an iteration. The particular data retained depends on the solver, and becomes available as field functions during subsequent iterations. Off by default.

Field Functions

Intermittency
The transported variable γ , see Eqn. (1550).
Specific Dissipation Rate Reynolds Number
The specific dissipation rate Reynolds number defined as Reω=ωd2ν.
Turbulence Intensity
The turbulence intensity, defined as I=2/3k/U.