  The paper develops a method for the numerical simulation of a free-surface
flow of incompressible viscous fluid around a streamlined body. The body is a
rigid stationary construction partially submerged in the fluid. The application
we are interested in the paper is a flow around a surface mounted offshore oil
platform. The numerical method builds on a hybrid finite volume / finite
difference discretization using adaptive octree cubic meshes. The mesh is
dynamically refined towards the free surface and the construction. Special care
is taken to devise a discretization for the case of curvilinear boundaries and
interfaces immersed in the octree Cartesian background computational mesh. To
demonstrate the accuracy of the method, we show the results for two benchmark
problems: the sloshing 3D container and the channel laminar flow passing the 3D
cylinder of circular cross-section. Further, we simulate numerically a flow
with surface waves around an offshore oil platform for the realistic set of
geophysical data.
