## Description

This thesis examines the effect of a particle cloud's initial geometry on the cloud's dispersion after a normal shock propagates through the cloud. A wide variety of rectangular, dispersion after a normal shock propagates through the cloud. A wide variety of rectangular, from zero to ninety degrees. Simulations are run using a high order weighted essentially non-oscillatory (WENO-Z) scheme, with particles traced in the Lagrangian framework. At the beginning of the simulation a reflected bow shock forms at the front of the shapes, with the reflection angle being the steepest for blunt shapes. The downstream dispersion of the clouds in the streamwise direction is also seen to relate to the strength of the reflected bow shock, with stronger shocks transferring more momentum from the fluid to the particles. Rectangular clouds when compared to elliptical clouds of similar length ratios had a higher x and y-dispersion. The rectangular clouds sharp front corners and flat, blunt front significantly increase the particle distribution as the streamlines are bent further around the rectangular shapes. Triangular clouds had the least amount of dispersion, and the closest reflected bow shock due to its aerodynamic shape. The particle clouds change in total energy is seen to relate to the x-dispersion, as increasing the particle's total energy leads to larger x-distributions. The y-distribution of the particle cloud relates to the change in the cloud's kinetic energy, increasing the kinetic energy of the particles leads to larger y-distributions. Shapes with large increases in kinetic energy are blunt shapes that absorb a significant portion of the oncoming flow, and that translates to a higher average particle kinetic energy.