Boundary condition defined by a custom function depending on the last state and time

[Waschenbacher]

Hello, I would like to simulate a convection-diffusion model for the following scenario:

• the velocity parameter $v$ of this convection-diffusion model depends on a custom function, which gets updated over time and depends on the last cell.
• the left boundary value should depends on both the last cell and the time. This dependence is defined by a custom function, which is probably not jitable.

Thanks to your help in several previous issues, it is now possible to add boundary defined by a non-jitable custom function which depends on the last cell. But for my ultimate goal, I tried several options and didn't succeed so far. Could you please provide me some further guidance?

[david-zwicker]

I think you best bet would be to write your own PDE class, like in this example. This is not yet using numba compiled right-hand sides, but if your code is not really compilable by numba, this might be fine.

[Waschenbacher]

Thanks! I will give it a further try!