Evolution of nonlinear internal waves in the East and South China Seas

Liu, Antony K.; Chang, Yuan-Ying; Hsu, M. K.; Liang, Nai-Kuang

doi:10.1029/97jc01918

Cited by 379 publications

(295 citation statements)

References 16 publications

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“…Then, with increasing and more detailed internal wave observations, it was found that several further factors should be included in the model. First of all, the variable depth along the wave path leads to wave amplitude variation, and even to the possible changing of the soliton polarity; this effect has also been recently studied in the South China Sea [Liu et al, 1998;Cai et al, 2002;Zhao et al, 2003]. Second, the horizontal variability of the density and background current field is important, particularly for the NWS situated at ~20S [Holloway et al, 1997].…”

Section: Generalized Korteweg-de Vries Equationmentioning

confidence: 99%

Modelling internal solitary waves on the Australian North West Shelf

Grimshaw

Pelinovsky

Stepanyants

et al. 2006

Mar. Freshwater Res.

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Abstract:The transformation of the nonlinear internal tide and the consequent development of internal solitary waves on the Australian North West Shelf is studied numerically in the framework of the generalized rotation-modified Korteweg-de Vries equation. This model contains both nonlinearity (quadratic and cubic), the Coriolis effect, depth variation and horizontal variability of the density stratification. The simulation results demonstrate that a wide variety of nonlinear wave shapes can be explained by the synergetic action of nonlinearity and the variability of the hydrology along the wave path.2

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Section: Generalized Korteweg-de Vries Equationmentioning

confidence: 99%

Modelling internal solitary waves on the Australian North West Shelf

Grimshaw

Pelinovsky

Stepanyants

et al. 2006

Mar. Freshwater Res.

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“…In our case, there are two elevation waves created behind the original depression wave (Figure 1). The ISW evolution in this phase has been studied by numerical method several times [Knickerbocker and Newell, 1980;Liu et al, 1998;Vlasenko and Hutter, 2002].…”

Section: Conversion Processmentioning

confidence: 99%

“…[11] The polarity of the ISWs described by the EKdV equation depends on the sign of the quadratic nonlinear coefficient a (except for the turning point where a is equal to zero) [Benjamin, 1966;Liu et al 1998]. Under conditions of a 60 m upper layer depth, the ISWs are depression waves when the water depth is deeper than 120 m (a < 0).…”

Section: Dynamics Analysismentioning

confidence: 99%

“…It is reported that the ISWs in deep waters of the northern South China Sea are depression waves generated by tidal currents flowing over varying bottom topography in the Luzon Strait [Ebbesmeyer et al, 1991;Liu et al, 1998]. Liu et al [1998] identified elevation ISWs in shallow waters on ERS-1 SAR images. They suggested that these elevation ISWs evolved from depression ISWs as a result of the shoaling continental shelf.…”

Section: Introductionmentioning

confidence: 99%

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Satellite observation of internal solitary waves converting polarity

Zhao

Klemas

Zheng

et al. 2003

Geophysical Research Letters

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[1] On a SPOT-3 visible image over the South China Sea continental shelf, two contrasting signatures of internal solitary waves (ISWs) are observed: darker stripes leading brighter stripes in the lower part, and brighter stripes leading darker stripes in the upper part. The authors suggest that the contrasting patterns are caused by ISWs of different polarities. A packet of ISWs is observed in the process of converting polarity due to bottom shoaling, both in the propagation direction and in the transect direction. The evolution process can be obtained by transferring information from the spatial domain to the temporal domain. The conversion process starts with the original depression ISWs passing the 160 m isobath. The evolution process can be divided into two phases: the first is the broadening of the original depression waves and the second is the appearance of the new-born elevation waves. These two phases are verified using numerical simulation.

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“…Once again, a single particle with a non-zero weight is used to represent each peakon. In the next set of numerical experiments, presented in Figures 6-9, we illustrate the emergent and collision properties of peakon wave fronts in 2-D -the phenomena that are observed in nature, for instance, as trains of internal waves in the south China Sea, [31]. The initial data for the examples below (shown in Figs.…”

Section: Numerical Examplesmentioning

confidence: 99%

Integration of the EPDiff equation by particle methods

2012

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Abstract. The purpose of this paper is to apply particle methods to the numerical solution of the EPDiff equation. The weak solutions of EPDiff are contact discontinuities that carry momentum so that wavefront interactions represent collisions in which momentum is exchanged. This behavior allows for the description of many rich physical applications, but also introduces difficult numerical challenges. We present a particle method for the EPDiff equation that is well-suited for this class of solutions and for simulating collisions between wavefronts. Discretization by means of the particle method is shown to preserve the basic Hamiltonian, the weak and variational structure of the original problem, and to respect the conservation laws associated with symmetry under the Euclidean group. Numerical results illustrate that the particle method has superior features in both one and two dimensions, and can also be effectively implemented when the initial data of interest lies on a submanifold.

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Evolution of nonlinear internal waves in the East and South China Seas

Cited by 379 publications

References 16 publications

Modelling internal solitary waves on the Australian North West Shelf

Modelling internal solitary waves on the Australian North West Shelf

Satellite observation of internal solitary waves converting polarity

Integration of the EPDiff equation by particle methods

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