Dear Yannick,
thanks for your post.
In Sisyphe you can impose the following boundary conditions.
For bedload sediment transport:
(i) by fixing the bed evolution to a constant value, that is, db/dt = 0 at specified boundary. In this case, the maximum sediment transport capacity is imposed directly, estimated by one of the well-known sediment transport formulae.
(ii) by specifying a specific sediment transport rate at boundary.
I suggest you to take a look to some of last post in the Forum, where this topic has been extensively aborded and discussed.
Typically, at outflow a Neumann-type BC is assumed, that is, the sediment just goes out.
For suspension transport, the concentration of each class can be specified through keyword CONCENTRATION PER CLASS AT BOUNDARIES. The keyword
EQUILIBRIUM INFLOW CONCENTRATION can be used to specify the value of the concentration at inflow, computed according to the choice of the REFERENCE CONCENTRATION FORMULA.
A new documentation that includes all these issues is coming out soon.
All the best,
Pablo