  The paper is concerned with the minimal drag problem in shape optimization of
merchant ships exposed to turbulent two-phase flows. Attention is directed to
the solution of Reynolds Averaged Navier-Stokes equations using a Finite Volume
method. Central aspects are the use of a p-Laplacian relaxed steepest descent
direction and the introduction of crucial technical constraints to the
optimization procedure, i.e. the center of buoyancy and the displacement of the
underwater hull. The example included refers to the frequently investigated
Kriso container ship (KCS).
