Project -- Lagrangian Fluid Code

Small amplitude sound waves travel at speed $c = \sqrt{\gamma P / \rho}$ without changing shape (so that a sine wave remains a sine wave). However, when the amplitude is large, the sound speed differs between the peaks and the troughs of the wave and the wave changes shape as it propagates. This project is to simulate this effect in one-dimension. A difference method is used in which the system is split up into cells and the cell boundaries are allowed to move with the local fluid velocity (a so-called Lagrangian method). You should not require any library routines to complete this project.