Numerical and Experimental Study of Classical
Hydraulic Jump
(EN)
Papanicolaou, Panayiotis
Retsinis, Eugene
ntua
(EL)
The present work is an e ort to simulate numerically a classical hydraulic jump in a
horizontal open channel with a rectangular cross-section, as far as the jump location and free surface
elevation is concerned, and compare the results to experiments with Froude numbers in the range
2.44 to 5.38. The governing equations describing the unsteady one-dimensional rapidly varied flow
have been solved with the assumption of non-hydrostatic pressure distribution. Two finite di erence
schemes were used for the discretization of the mass and momentum conservation equations,
along with the appropriate initial and boundary conditions. The method of specified intervals has
been employed for the calculation of the velocity at the downstream boundary node. Artificial
viscosity was required for damping the oscillations near the steep gradients of the jump. An iterative
algorithm was used to minimize the di erence of flow depth between two successive iterations that
must be less than a threshold value, for achieving steady state solution. The time interval varied in
each iteration as a function of the Courant number for stability reasons. Comparison of the numerical
results with experiments showed the validity of the computations. The numerical codes have been
implemented in house using a Matlab® environment.
(EN)
