Hello,
we would like to do this ourselves but are still working on an implementation together with more performant PDE solvers.
As of now, Morpheus is simulating (systems of) reaction-diffusion PDEs for which you give the reaction part in a System and the diffusion constants as attributes to the field variables. You will have seen the models in Example/PDE.
Sorry that we cannot help with advection in PDEs yet.
Best,
Lutz