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Prog. Theor. Phys. Supplement No.138 (2000) pp. 708-709

Numerical Studies of Hydraulic Jump Phenomena with Largely Deformed Interfaces

Kensuke Yokoi^1,2,* and Feng Xiao²

¹Division of Mathematics, and Research Institute for Electronic Science, Hokkaido University, Sapporo 060-0812, Japan
²Computational Science Division, RIKEN, Wako 351-0198, Japan

(Received October 11, 1999)

Abstract:

A computational model for interfacial flows including the effect of surface tension force has been constructed based on the C-CUP (Cubic interpolated propagation, Combined Unified 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 fluid far away from the jet in the laboratory experiment, was investigated numerically. We found that the transition is associated with a rise in pressure beneath the surface immediately 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.

URL : http://ptp.ipap.jp/link?PTPS/138/708/
DOI : 10.1143/PTPS.138.708

^*kensuke@atlas.riken.go.jp

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5. K. Yokoi and F. Xiao, Phys. Lett. A257 (1999), 153.

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