Reply To: Advection-Diffusion with source term
to 1: I implemented the sourced advection diffusion model by Seta (https://journals.aps.org/pre/abstract/10.1103/PhysRevE.87.063304) a few month ago and it will be included in the next release, which will become available soon.
to 2: Yes, using the temperature from the ADlattice for this purpose should be the way to go. To get an idea how to achieve this in OpenLB you can have a look at the boussinesq coupling in src/dynamics/navierStokesAdvectionDiffusionCouplingPostProcessor2D . h and .hh