This study investigates the use of ABAQUS's Smoothed Particle Hydrodynamics to simulate pure water jet machining of Al 6061-T6 and Ti-6Al-4V and further examines the ability to machine the same materials using a pulsed water jet using ABAQUS Smoothed Particle Hydrodynamics (SPH) at the same pressure and orifice diameters. These simulations were then verified experimentally at two pressures, 138 MPa and 317 MPa. Predictive modeling was also conducted using the two additional pressures 400 MPa and 621 MPa as well as three orifice diameters 0.254 mm, 0.3556 mm, and 0.4572 mm. Aluminum was chosen due to its low density and its ability to resist corrosion through passivation, and its importance to the aerospace industry, transportation, and building industries. Titanium was chosen because of the difficulties machining Titanium using conventional machining methods. Common problems when machining titanium using traditional metal cutting processes include tools that rapidly wear out and need to be replaced and poor machined surface integrity. The techniques developed in this study allow high precision machining of titanium that preserves the integrity of the machined material, reduces tool wear or even eliminates tooling entirely. The Al 6061-T6 simulations were validated at both pressures and had a percent error of less than 3% and were within the standard deviation of the experimental results. For the Ti-6Al-4V, simulations were validated at both pressures and had a percent error of less than a 2.6% and were within the standard deviation of the experimental results.