Numerical Simulation of Hydraulic Jump

Boussinesq equations describing one‐dimensional unsteady, rapidly varied flows are integrated numerically to simulate both the sub‐ and supercritical flows and the formation of a hydraulic jump in a rectangular channel having a small bottom slope. For this purpose the MacCormack (second‐order accurate in space and time) and two‐four (second‐order accurate in time and fourth‐order in space) explicit finite‐difference schemes are used to solve the governing equations subject to specified end conditions until a steady state is reached. The inclusion of initial and boundary conditions is discussed, and the importance of the Boussinesq terms is investigated. Complete test results for a range of Froude numbers are presented that may be used by other researchers for the verification of mathematicalmodels. A comparison of the computed and measured results shows that the agreement between them is satisfactory for the fourth‐order finite‐difference scheme although the second‐order scheme does not accurately predict the location of the jump. These simulations show that the Boussinesq terms have little effect in determining the location of the hydraulic jump.

Перевод пока недоступен