In the combustion chamber of a jet engine, the turbulent interactions of mixed fuel droplets with compressed flow is extremely complex. With today’s technology, Computational Fluid Dynamics (CFD) can not fully capture the interactions of droplet-laden flow in a shockwave-dominant region. The timescales involved for the flow within a jet engine are small which further contribute to model complexity. By utilizing the hydraulic analogy, high speed flow at a given Mach number can be directly related to shallow water flow with a matching Froude number. A shallow water table is constructed to validate the hydraulic analogy. Using commercial CFD software Fluent, the experimental flow over wedge apex angles 10°, 20°, 30°, 45°, and 60° is compared to a shallow water simulation and high speed flow simulation. The shallow water table is equipped with a camera capable of filming a transient positive surge wave. The experimental data is used to drive the transient flow simulations for shallow water flow and high speed flow. Schardin’s problem is qualitatively examined for a shock Mach number of 1.90, which is directly compared to a positive surge wave on a 60 wedge. The pressure contours of the transient simulations are compared and found to be in excellent agreement. The transient and static simulations show promise and set the stage for future investigations with particle-laden flow.