  We present a dimensionally split method for computing solutions to the
compressible Navier-Stokes equations on Cartesian cut cell meshes. The method
is globally second order accurate in the L1 norm, fully conservative, and
allows the use of time steps determined by the regular grid spacing. We provide
a description of the three-dimensional implementation of the method and
evaluate its numerical performance by computing solutions to a number of test
problems ranging from the nearly incompressible to the highly compressible flow
regimes. All the computed results show good agreement with reference results
from theory, experiment and previous numerical studies. To the best of our
knowledge, this is the first presentation of a dimensionally split cut cell
method for the compressible Navier-Stokes equations in the literature.
