bbPress Question concering user permissions

Not sure if that belongs to here

I´m new to bbPress and I was running an SMF forum for quite a while. I like to use bbPress because it integrates seamlessly into my WP site. That said I´d like to do the following:

I need 10 different user groups. Each user group should have access to specific forums. Forums that they don´t have access to should be hidden from them.

Example:

User John is member of the group X. Group X can see and write into forum X but not into forum Y and Z.
User Jane is member of the group Y. Group Y can see and write into forum Y but not into forum X and Z.
User Jim is member of the group A. Group A can see and write into any forum

So some users can see only specific forums and some users can see all forums.

That is a simple task with SMF but how can I achieve that with bbPress?

Thanks in advance
Michael