“…Note that v(ξ, V ξ ) is known in terms ofξ , V ξ and the approximated flamelet profile v s (ξ), whereas the exact values of v depends on the PDF of the mixture fraction, not solely on its first moments. Similar expressions can be applied to other thermochemical variables [32]. An advantage of the present approach is that it allows to completely exclude the flamelet table look-up procedure and, as a result, associated with it interpolation errors, while a disadvantage being that a PDF corresponding to Eq.…”