  Hyperbolic systems under nonconservative form arise in numerous applications
modeling physical processes, for example from the relaxation of more general
equations (e.g. with dissipative terms). This paper reviews an existing class
of augmented Roe schemes and discusses their application to linear
nonconservative hyperbolic systems with source terms. We extend existing
augmented methods by redefining them within a common framework which uses a
geometric reinterpretation of source terms. This results in intrinsically
well-balanced numerical discretizations. We discuss two equivalent
formulations: (1) a nonconservative approach and (2) a conservative
reformulation of the problem. The equilibrium properties of the schemes are
examined and the conditions for the preservation of the well-balanced property
are provided. Transient and steady state test cases for linear acoustics and
hyperbolic heat equations are presented. A complete set of benchmark problems
with analytical solution, including transient and steady situations with
discontinuities in the medium properties, are presented and used to assess the
equilibrium properties of the schemes. It is shown that the proposed schemes
satisfy the expected equilibrium and convergence properties.
