  In this paper, we investigate the deformation of generalized circle packings
on ideally triangulated surfaces with boundary, which is the $(-1,-1,-1)$ type
generalized circle packing metric introduced by Guo-Luo \cite{GL2}. To find
hyperbolic metrics on surfaces with totally geodesic boundaries of prescribed
lengths, we introduce combinatorial Ricci flow and combinatorial Calabi flow
for generalized circle packings on ideally triangulated surfaces with boundary.
Then we prove the longtime existence and global convergence for the solutions
of these combinatorial curvature flows, which provide effective algorithms for
finding hyperbolic metrics on surfaces with totally geodesic boundaries of
prescribed lengths.
