Outlet

At an outlet the velocity is assumed not to change in flow direction. Furthermore, the mesh is assumed such that \boldsymbol{ j} corresponds with the flow direction. From this we have

(v_i)_e^{(m)} = (v_i)_P^{(m)} (611)

(assuming that e is the face at the outlet) and the first term in Equation ([*]), which takes now a similar form as in Equation ([*]) drops out.