This paper presents the results obtained by a generalized cut cells strateg
y on 3-D blast waves problems. The mesh is cartesian except when it is inte
rsected by the surface of the solids inserted in the computational domain.
The improvement, relatively to a classical cut-cells method, is the treatme
nt of the cut which preserves the real geometry of the surface instead of a
pproximating it by a plane, This approach avoids a loss: of precision of th
e numerical scheme at the boundaries and allows future extension to higher
order schemes (> 2). Moreover it is useful for any kind of geometry with a
high efficiency in computation time. The drawback is the complexity of the
geometrical problems which can rise because of the diversity of situations
in the treatment of the cuts. The performance of the approach is tested on
a few examples allowing comparisons with experiments or other techniques an
d physical discussions.