As oil spells, it is important to act as quickly as possible in order to minimize damages that can affect people and natural life. Thus, for the necessary operations to be done on time following an accident, numerical simulation of oil spell is an essential tool. The purpose of this paper is to develop a 2-D numerical model for the main operations that control and affect the trajectory and fate of an oil spill. Two additional operations had been considered, those are evaporation and dissolution which lead to lose some of the spilled oil even in air or water column. Afterwards, oil spill scenarios had been created and spreading of an oil spill, whose density and initial position are known, had been examined. Using MATLAB, flow simulations had been made and results had been discussed.