L.L. Ferrás, J.M. Nóbrega and F.T. Pinho
New strategies for the implementation of slip boundary conditions in the finite volume method are presented, comprising an implicit scheme for the linear slip model and semi-implicit schemes for non-linear slip laws in orthogonal and non-orthogonal meshes.
The figure shows the number of iterations required to achieve convergence when solving the Poiseuille flow between parallel plates problem using the following schemes: implicit (SSI), explicit (SSE), semi-implicit transcendent (SSSIT) and semi-implicit SSSI (for the linear Navier slip law).