Numerical Studies of Hydraulic Jump Phenomena with Largely Deformed Interfaces

Abstract

A computational model for interfacial flows including the effect of surface tension force has been constructedbasedon the C-CUP (Cubic interpolatedpropagation, CombinedUnified Procedure) method, the level set method and the CSF (Continuum Surface Force) model. The computational model can simulate largely deformed interfaces as those found in hydraulic jump phenomena. By using this computational model, we performed axisymmetric (r-z) simulations to clarify the structure formation of the circular hydraulic jump. The transition from a type I to a type II jump, which was induced by changing the depth of the fluidfar away from the jet in the laboratory experiment, was investigatednumerically. We foundthat the transition is associatedwith a rise in pressure beneath the surface immed iately after the hydraulic jump. This result shows that the hydrostatic assumption used in most of the theoretical studies may not be appropriate for the formation of a type II jump.