Numerical simulation of spilled oil by fictitious domain method

Pollution due to spilled oil presents serious natural environment issues. In order to take effective measures against such accidents, the knowledge of behavior of oil in such accidents is urgently required. Although its behavior both offshore and in the surfzone is important, this paper concentrates on the latter problem. A flow field of seawater and spilled oil above and under the beach is simulated numerically in this study. This research effort adopts the Cross model as a constitutive equation for spilled oil. Oil adhesion properties are taken into consideration through a friction type boundary condition prescribed on the surface of spilled oil. Flow equations for respective fluids and boundary conditions between them are unified into a single flow equation to construct a numerical model. The fictitious domain method plays an important role in the unification procedure. Computation becomes rather simple due to unification of equations.