  In this paper we blend the high order Compact Approximate Taylor (CAT)
numerical schemes with an a-posteriori Multi-dimensional Optimal Order
Detection (MOOD) paradigm to solve hyperbolic systems of conservation laws in
2D. The resulting scheme presents high accuracy on smooth solutions,
essentially non-oscillatory behavior on irregular ones, and, almost fail-safe
property concerning positivity issues. The numerical results on a set of sanity
test cases and demanding ones are presented assessing the appropriate behavior
of the CAT-MOOD scheme.
