There was a minor indexing issue with the implementation of the finite difference approximation of the continuity equation when calculating V in the reverse direction for initial guesses of diffusion flames. I added beta to the finite difference continuity calculations to support 'disc' flames though this is not expected to make much difference since the initial guesses are already quite rough. Premixed flame profile guesses were modified to produce a hot center in the initial guess for the case in which the opposing flow is an inert, not hot products.
There was a minor indexing issue with the implementation of the finite difference approximation of the continuity equation when calculating V in the reverse direction for initial guesses of diffusion flames. I added beta to the finite difference continuity calculations to support 'disc' flames though this is not expected to make much difference since the initial guesses are already quite rough. Premixed flame profile guesses were modified to produce a hot center in the initial guess for the case in which the opposing flow is an inert, not hot products.