scholarly journals Nonlinear waves and coherent structures in the quantum single-wave model

2011 ◽  
Vol 18 (10) ◽  
pp. 102312 ◽  
Author(s):  
Stephan I. Tzenov ◽  
Kiril B. Marinov
Keyword(s):  
Coherent Structures ◽  
Nonlinear Waves ◽  
Wave Model ◽  
Single Wave

scholarly journals Low-dimensional chaos in the single wave model for self-consistent wave–particle Hamiltonian

2021 ◽  
Vol 31 (8) ◽  
pp. 083104
Author(s):  
J. V. Gomes ◽  
M. C. de Sousa ◽  
R. L. Viana ◽  
I. L. Caldas ◽  
Y. Elskens
Keyword(s):  
Wave Model ◽  
Single Wave ◽  
Self Consistent ◽  
Low Dimensional

scholarly journals Long-time discrete particle effects versus kinetic theory in the self-consistent single-wave model

2001 ◽  
Vol 64 (2) ◽  
Author(s):  
M-C. Firpo ◽  
F. Doveil ◽  
Y. Elskens ◽  
P. Bertrand ◽  
M. Poleni ◽  
...  
Keyword(s):  
Kinetic Theory ◽  
Wave Model ◽  
The Self ◽  
Single Wave ◽  
Discrete Particle ◽  
Self Consistent ◽  
Long Time

scholarly journals On the viability of the single-wave model for the beam plasma instability

2016 ◽  
Vol 115 (4) ◽  
pp. 45004 ◽  
Author(s):  
N. Carlevaro ◽  
G. Montani ◽  
D. Terzani
Keyword(s):  
Wave Model ◽  
Plasma Instability ◽  
Single Wave ◽  
Beam Plasma ◽  
Beam Plasma Instability

The onset of meandering in a barotropic jet

2001 ◽  
Vol 449 ◽  
pp. 85-114 ◽  
Author(s):  
N. J. BALMFORTH ◽  
C. PICCOLO
Keyword(s):  
Nonlinear Theory ◽  
Stability Boundary ◽  
Wave Model ◽  
Inviscid Limit ◽  
Reduced Model ◽  
Mean Flow ◽  
Single Wave ◽  
Weakly Nonlinear ◽  
Weakly Nonlinear Theory ◽  
The Stability

This study explores the dynamics of an unstable jet of two-dimensional, incompressible fluid on the beta-plane. In the inviscid limit, standard weakly nonlinear theory fails to give a low-order description of this problem, partly because the simple shape of the unstable normal mode is insufficient to capture the structure of the forming pattern. That pattern takes the form of ‘cat's eyes’ in the vorticity distribution which develop inside the modal critical layers (slender regions to either side of the jet's axis surrounding the levels where the modal wave speed matches the mean flow). Asymptotic expansions furnish a reduced model which is a version of what is known as the single-wave model in plasma physics. The reduced model predicts that the amplitude of the unstable mode saturates at a relatively low level and is not steady. Rather, the amplitude evolves aperiodically about the saturation level, a result with implications for Lagrangian transport theories. The aperiodic amplitude ‘bounces’ are intimately connected with sporadic deformations of the vortices within the cat's eyes. The theory is compared with numerical simulations of the original governing equations. Slightly asymmetrical jets are also studied. In this case the neutral modes along the stability boundary become singular; an extension of the weakly nonlinear theory is presented for these modes.

scholarly journals Chaotic mixing and transport in Rossby-wave critical layers

1997 ◽  
Vol 334 ◽  
pp. 315-351 ◽  
Author(s):  
KEITH NGAN ◽  
THEODORE G. SHEPHERD
Keyword(s):  
Rossby Wave ◽  
Phase Speed ◽  
Wave Model ◽  
Chaotic Advection ◽  
Transient Wave ◽  
Single Wave ◽  
Rossby Wave Breaking ◽  
Lobe Dynamics ◽  
Critical Layers ◽  
Mixing And Transport

A simple, dynamically consistent model of mixing and transport in Rossby-wave critical layers is obtained from the well-known Stewartson–Warn–Warn (SWW) solution of Rossby-wave critical-layer theory. The SWW solution is thought to be a useful conceptual model of Rossby-wave breaking in the stratosphere. Chaotic advection in the model is a consequence of the interaction between a stationary and a transient Rossby wave.Mixing and transport are characterized separately with a number of quantitative diagnostics (e.g. mean-square dispersion, lobe dynamics, and spectral moments), and with particular emphasis on the dynamics of the tracer field itself. The parameter dependences of the diagnostics are examined: transport tends to increase monotonically with increasing perturbation amplitude whereas mixing does not. The robustness of the results is investigated by stochastically perturbing the transient-wave phase speed. The two-wave chaotic advection model is contrasted with a stochastic single-wave model. It is shown that the effects of chaotic advection cannot be captured by stochasticity alone.

scholarly journals Nonlinear density waves in the single-wave model

2011 ◽  
Vol 18 (3) ◽  
pp. 032305 ◽  
Author(s):  
Kiril B. Marinov ◽  
Stephan I. Tzenov
Keyword(s):  
Wave Model ◽  
Density Waves ◽  
Single Wave

scholarly journals Accurate and Fast Generation of Irregular Short Crested Waves by Using Periodic Boundaries in a Mild-Slope Wave Model

Energies ◽  
2019 ◽  
Vol 12 (5) ◽  
pp. 785 ◽  
Author(s):  
Panagiotis Vasarmidis ◽  
Vasiliki Stratigaki ◽  
Peter Troch
Keyword(s):  
Wave Field ◽  
Computational Cost ◽  
Wave Model ◽  
Wave Generation ◽  
Wave Transformation ◽  
Synthesis Methods ◽  
Computational Domain ◽  
Single Wave ◽  
Homogeneous Wave ◽  
Periodic Boundaries

In this work, periodic lateral boundaries are developed in a time dependent mild-slope equation model, MILDwave, for the accurate generation of regular waves and irregular long and short crested waves in any direction. A single wave generation line inside the computational domain is combined with periodic lateral boundaries. This generation layout yields a homogeneous and thus accurate wave field in the whole domain in contrast to an L-shaped and an arc-shaped wave generation layout where wave diffraction patterns appear inside the computational domain as a result of the intersection of the two wave generation lines and the interaction with the lateral sponge layers. In addition, the performance of the periodic boundaries was evaluated for two different wave synthesis methods for short crested waves generation, a method proposed by Miles and a method proposed by Sand and Mynett. The results show that the MILDwave model with the addition of periodic boundaries and the Sand and Mynett method is capable of reproducing a homogeneous wave field as well as the target frequency spectrum and the target directional spectrum with a low computational cost. The overall performance of the developed model is validated with experimental results for the case of wave transformation over an elliptic shoal (Vincent and Briggs shoal experiment). The numerical results show very good agreement with the experimental data. The proposed generation layout using periodic lateral boundaries makes the mild-slope wave model, MILDwave, an essential tool to study coastal areas and wave energy converter (WEC) farms under realistic 3D wave conditions, due to its significantly small computational cost and its high numerical stability and robustness.

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