An adjustable physical structure for producing hydraulic formations for whitewater recreationalists includes a control structure, and an adjustable lip located downstream of the control structure. The control structure can include a crest and a ramp. The crest constricts and/or elevates (dams) the flow water to increase it's energy and focus the flow of water. Downstream of the crest, the ramp routes the flow of the water to the adjustable lip. The ramp can have varying and non-linear slopes and plan configurations. Additionally, the ramp can be static or adjustable to elevate the flow of water and vary the velocity and energy of the supercritical flow as it is passed to the adjustable lip. An adjustable invert physical structure comprises a shaped structure configured for placement on the invert of the channel. The adjustable invert physical structure can be moved or adjusted in horizontal and/or vertical directions to shape the flow of water.