In order to prescribe a fully developed inlet velocity profile, this boundary condition adds a weak form contribution and constraints corresponding to unidirectional flow perpendicular to the boundary. The applied condition corresponds to the situation shown in Figure 3-2: a fictitious domain of length
Lentr is assumed to be attached to the inlet of the computational domain. The domain is an extrusion of the inlet boundary, which means that laminar inflow requires the inlet to be flat. The boundary condition uses the assumption that the flow in this fictitious domain is
fully developed laminar flow. The “wall” boundary conditions for the fictitious domain is inherited from the real domain,
Ω, unless the option to constrain outer edges or endpoints to zero is selected in which case the fictitious “walls” are no-slip walls.