Numerical simulation is a powerful and useful tool to understand complicated physical phenomena changing with time and space, where diffusion, convection, wave propagation and shock formation are involved. We start by learning basic features of partial differential equations (PDEs) that describe those phenomena. We then study how these equations are converted to the form suitable for numerical simulation. We also do a practical training of writing a numerical code and running a code to perform a simulation. Finally, we master how to use a data analysis software IDL (Interactive Data Language).