Sure...  The CBS method ends up adding streamline diffusion in a clever way, much like the SUPG or Taylor-Galerkin formulations.  I've played with it for scalar convection-diffusion problems, but it is easily applicable to systems.
All you need to do is write out the stabilized weak form and implement all the terms using the test and trial functions (and their gradients) provided in the library. 
The only reason stabilized methods are not implemented in the examples is to avoid "endorsing" any single approach.  I routinely use SUPG stabilization for the compressible Navier-Stokes equations.

From: [] On Behalf Of Shengli Xu
Sent: Thursday, January 12, 2006 7:07 PM
Subject: [Libmesh-users] Can the characteristic-based split (CBS) algorithm for N-S function be worked with libMesh?

Does anybody have experience on it?