Computational Fluid Dynamics is a field of computer science in which the behavior of fluid as it interacts with a model is simulated. It is a cost-efficient method to test how any kind of engineering prototype behaves when in contact with fluids. The following paper examines and explains the three fundamental equations necessary to calculate the physical values used to simulate the behavior of a fluid. Then, the three types of partial differentials and their role in fluid dynamics is explained. It also provides an in-depth explanation of the three popular methods of discretization used to obtain a numerical approximation for the partial differentials shown in the three fundamental equations, so that the fundamental equations can be solved to obtain the values of each physical quantity.  

The three fundamental equations and the types of partial differentials are written and explained. Of course, what each variable represents is also included in both the mathematical description section and the nomenclature section. The fundamental equations are also shown in their simplified or reduced forms as well. An explanation of discretization is then shown, deriving the equations necessary for the computer to provide a numerical approximation.