Defining Correlations Using Field Functions

The Correlation Method property of the Gamma ReTheta transition model allows you to use field functions to specify the calibrations used in the model.

Once you set Correlation Method to User Field Function, the following child nodes appear under the Gamma-Re Theta Transition node:

Transition onset Re Correlation
Defines the Reθt correlation. The following options are available:
  • Modified
  • Modified NZPG
  • Original
  • Original NZPG
  • Abu-Ghannam & Shaw
  • Abu-Ghannam & Shaw NZPG
  • User Field Function
F_length Correlation
Field Function that defines the Flength correlation.
Re_crit Correlation
Field Function that defines the Reθc correlation.
Re_theta_t Correlation
Field Function that defines the Reθt correlation.

For more information, see Gamma ReTheta Transition Model Reference.

To emulate the internal (Suluksna-Juntasaro) calibration, you could set Transition onset Re Correlation to Modified and specify the field functions for F_length correlation and Re_crit correlation, repsectively, as follows:

min(300,exp(7.168 - 0.01173*$TransitionReTheta) + 0.5)
min($TransitionReTheta, $TransitionReTheta*0.615 + 61.5)
		

If the User Field Function option is to be used to specify the Reθt correlation, the following field function could be used to emulate the internal (Modified option) implementation:

(100*$TurbulenceIntensity > 1.3) ? 331.5*pow(100*$TurbulenceIntensity - 0.5658, -0.671) : (1173.51 - 589.428*100*$TurbulenceIntensity+0.2196/(10000*$TurbulenceIntensity*$TurbulenceIntensity))