  This work extends the high-resolution isogeometric analysis approach
established for scalar transport equations to the equations of gas dynamics.
The group finite element formulation is adopted to obtain an efficient assembly
procedure for the standard Galerkin approximation, which is stabilized by
adding artificial viscosities proportional to the spectral radius of the
Roe-averaged flux-Jacobian matrix. Excess stabilization is removed in regions
with smooth flow profiles with the aid of algebraic flux correction
\cite{KBNII}. The underlying principles are reviewed and it is shown that
linearized FCT-type flux limiting \cite{Kuzmin2009} originally derived for
nodal low-order finite elements ensures positivity-preservation for high-order
B-Spline discretizations.
