The specific solver settings used in a computational fluid dynamics based model can affect the results generated. Compressible flow conditions, where the conservation equations as well as the equation of state are tightly coupled, may be particularly sensitive to the solution method and parameter selection. While density-based solvers are specifically made for compressible flow conditions, pressure-based solvers, including a partially coupled pressure-based solver, provide an additional option for a computational fluid dynamics simulation. In this work, a Mach 2.5 flow over a wedge baseline case will be used to compare the predictions of different computational fluid dynamics modeling methods, techniques, and parameters. Variations of the pressure-based solver coupled pressure solver, and density-based solver are implemented, and the results compared to published data. The impact on transient simulations will also be considered. The analysis of the results yields information that can be used in the selection of the solution methods and parameters for higher speed compressible flow.