I am trying to solve Boltzmann equation with force term for the conditions inside an electric streamer. The set of equations couples Boltzmann equations for electrons and ions plus Maxwell equations that drive electric and magnetic fields with BGK collision term on the right hand side:

to be short, **E** is a constant field that drives the propagation of the streamer and acts on the whole fluid , but **E’** and **B’** are local fields values that are related to the small wavy plasma disturbance calculated from Maxwell equations (I hope it is not needed - I couldn’t upload the second image as a new user).

I still try to solve the equation with finite differences in velocity space and spectral methods in x space but it is hard for me to achieve convergence in longer runs.

Do you know any use cases of Palabos for such configuration?

Thank you in advance!

Paweł