Effect of rotation on the formation of hydraulic jumps

Houghton, David D.

doi:10.1029/jb074i006p01351

Cited by 28 publications

(28 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Thus, rotation can change the position of initiation of the jump quite drastically. These results are consistent with those of Simons (1978) and Houghton (1969). Since sills appear to generate jumps, we ran a series of experiments with two sills, Figure 3, left side bottom, shows two identical sills.…”

Section: Discussion Of the Resultssupporting

confidence: 85%

Tidally-Forced Stratified Flow over Sills

Murty¹,

Rasmussen²

1980

Fjord Oceanography

View full text Add to dashboard Cite

Section: Discussion Of the Resultssupporting

confidence: 85%

Tidally-Forced Stratified Flow over Sills

Murty¹,

Rasmussen²

1980

Fjord Oceanography

View full text Add to dashboard Cite

“…Although the effect of the Coriolis force is not necessarily negligible, all experiments are conducted without the Coriolis force since its inclusion results in no large difference in the features of the hydraulic jump (Houghton, 1969;Ikawa and Nagasawa, 1989) and its use would only complicate the results of experiments.…”

Section: Design Of the Experimentsmentioning

confidence: 99%

A Numerical Study of the Local Downslope Wind "Yamaji-kaze" in Japan

Saitō¹,

Ikawa²

1991

Journal of the Meteorological Society of Japan

View full text Add to dashboard Cite

In order to study the Yamaji-kaze-a typical downslope wind found in Japan, the two-dimensional flow over an asymmetric mountain is simulated by use of a non-hydrostatic model. The Yamajikaze front and the reversed wind behind the front-characteristic features of the Yamaji-kaze-are explained in terms of the internal hydraulic jump and its associated circulation.Numerical experiments for a homogeneous atmosphere show that the behavior of the internal hydraulic jump is significantly affected by the inverse Froude number and the shape of the mountain. When the inverse Froude number is large, a quasi-steady state solution such that the hydraulic jump remains on the lee side of mountain is obtained, with the associated reversed flow being generated just behind the hydraulic jump. In the case of the Yamaji-kaze, the asymmetry of the Shikoku Mountains and the blocking effect of the Chugoku Mountains impede the propagation of the Yamaji-kaze front and allow the reversed wind to occur more readily.For the case of the Yamaji-kaze observed on 21 April 1987, a notable inversion layer was found at a level near the mountaintop. It is confirmed, by numerical experiments of a heterogeneous atmosphere with the observed thermal stratification, that the surface wind strengthens in the presence of the inversion when compared to that without the inversion. Development and propagation of an internal hydraulic jump are qualitatively simulated under the observed thermal stratification and timechanging wind profile. On the basis of the experimental results a conceptual model of the Yamaji-kaze is proposed.

show abstract

“…Following Houghton, 14 and as in ERJ07a, the physical situation at breaking waves is modeled by allowing "weak" or discontinuous solutions of Eq. ͑1͒ that include the possibility of mass and ͑lower layer͒ momentum conserving hydraulic jumps, as discussed by Klemp et al 15 The discontinuous solutions must satisfy the Rankine-Hugoniot conditions…”

Section: A Physical Scenario and Model Equationsmentioning

confidence: 99%

Supercritical rotating flow over topography

2009

View full text Add to dashboard Cite

The flow of a one-and-a-half layer Boussinesq fluid over an obstacle of nondimensional height M, relative to the lower layer depth, is investigated in the presence of rotation, the magnitude of which is measured by a nondimensional parameter B ͑inverse Burger number͒. The supercritical regime in which the Froude number F, the ratio of the flow speed to the interfacial gravity wave speed, is significantly greater than one is considered in the shallow water ͑small aspect ratio͒ limit. The linear drag exerted by the obstacle on the flow is shown to be M 2 / ͑F ͱ F 2 −1͒ ϫ f͑B / F 2 −1͒, where f is a function specific to each obstacle. Explicit expressions are given for several common obstacle shapes, and the results are checked against nonlinear flows simulated by a shock-capturing finite volume numerical scheme. For flows within the supercritical regime ͑F −1ӷ M 2/3 ͒ the linear drag result is found to remain accurate up to ͑at least͒ M Ϸ 0.7. The success of the linear drag theory can be explained because, in the supercritical regime, strong nonlinearities are displaced to the wake regions at the flanks of the obstacle. In the presence of weak rotation and for small obstacle height the development of the nonlinear wakes is governed by the Ostrovsky-Hunter ͑OH͒ equation. Across a wide range of parameter space the wake pattern is determined by a single parameter ␤ =3M / B ͱ F 2 − 1. Numerical solutions of the OH equation illustrate the dependence of flow patterns and wave breaking regions on ␤. Results are again verified by comparison with numerical solutions of the full nonlinear rotating shallow water equations.

show abstract

Effect of rotation on the formation of hydraulic jumps

Cited by 28 publications

References 9 publications

Tidally-Forced Stratified Flow over Sills

Tidally-Forced Stratified Flow over Sills

A Numerical Study of the Local Downslope Wind "Yamaji-kaze" in Japan

Supercritical rotating flow over topography

Contact Info

Product

Resources

About