Hello, I have the Navier-Stokes equation coupled with a convection-diffusion equation for the temperature. It is a two-way coupling because the viscosity depends on the temperature. One way to solve this is with some kind of fixed point iteration scheme, where I solve each equation separately in a loop until I see convergence. I am aware this is not possible directly at the SNES level. Is there something that one can do using PCFIELDSPLIT? I would like to assemble my fully coupled system and play with the solver options to get some kind of fixed-point iteration scheme. I would like to avoid having to build two separate SNES solvers, one per equation. Any reference on techniques to solve this type of coupled system is welcome.
Best, Miguel