The three-condition version of the uniform conditional state combustion model makes use of
the mixture fraction, progress variable, and normalized total enthalpy as conditioning
variables to build a three-dimensional conditional manifold for chemistry. In order to map the
solution in conditional space into the flow domain, the joint Probability Density Function
(PDF) of the conditioning variables needs to be modeled. In simulations, presumed functions
(ie, β-PDF for the mixture fraction and progress variable and δ-PDF for total enthalpy) are …