Effect of a secondary channel on the non-linear tidal dynamics in a semi-enclosed channel: a simple model

2014 ◽  
Vol 64 (4) ◽  
pp. 573-585 ◽  
Author(s):  
N. C. Alebregtse ◽  
H. E. de Swart
2020 ◽  
Vol 21 (2) ◽  
pp. 291-300
Author(s):  
Vadim Mizonov ◽  
Andrey Mitrofanov ◽  
Evgeny Barochkin ◽  
Elena Basova

Author(s):  
Gleb L. Kotkin ◽  
Valeriy G. Serbo

This chapter addresses the distortion in the free and forced oscillations of a harmonic oscillator caused by the presence of the anharmonic terms in the potential energy, a simple model related to the coupling of the longitudinal and flexural oscillations inmolecules, and two oscillators with a weak non-linear coupling (the so-called Fermi resonance). The chapter also examines non-linear resonances, the parametric resonances, drift of the orbit centre for a charged particle in the weakly inhomogeneous magnetic field, and a mechanical model of phase transitions of the second kind.


2019 ◽  
Author(s):  
Vera Fofonova ◽  
Alexey Androsov ◽  
Lasse Sander ◽  
Ivan Kuznetsov ◽  
Felipe Amorim ◽  
...  

Abstract. This study investigates the tidal dynamics in the Sylt-Rømø bight with a focus on the non-linear processes. The FESOM-C model was used as the numerical tool, which works with triangular, rectangular or mixed meshes and is equipped with a wetting/drying option. As the model's success at resolving currents largely depends on the quality of the bathymetric data, we have created a new bathymetric map for an area based on recent studies of Lister Deep, Lister Ley, and the Højer and Rømø Deep areas. This new bathymetric product made it feasible to work with high resolution grids (up to 2 m in the wetting/drying zone). As a result, we were able to study the tidal energy transformation and the role of higher harmonics in the domain in detail. For the first time, the tidal ellipses, maximum tidally-induced velocities, energy fluxes and residual circulation maps were constructed and analysed for the entire bight. Additionally, tidal asymmetry maps were introduced and constructed. The full analysis was performed on two grids with different structures and showed a convergence of the obtained results as well as fulfillment of the energy balance. A great deal of attention has been paid to the selection of open boundary conditions, model verification against available tide gauges, and recent ADCP data. The obtained results are necessary and useful benchmarks for further studies in the area, including baroclinic and sediment dynamics tasks.


Ocean Science ◽  
2021 ◽  
Vol 17 (6) ◽  
pp. 1753-1773
Author(s):  
Eli Børve ◽  
Pål Erik Isachsen ◽  
Ole Anders Nøst

Abstract. Vestfjorden in northern Norway, a major spawning ground for the northeast Arctic cod, is sheltered from the continental shelf and open ocean by the Lofoten–Vesterålen archipelago. The archipelago, however, is well known for hosting strong and vigorous tidal currents in its many straits, currents that can produce significant time-mean tracer transport from Vestfjorden to the shelf outside. We use a purely tidally driven unstructured-grid ocean model to look into non-linear tidal dynamics and the associated tracer transport through the archipelago. Of particular interest are two processes: tidal pumping through the straits and tidal rectification around islands. The most prominent tracer transport is caused by tidal pumping through the short and strongly non-linear straits Nordlandsflaget and Moskstraumen near the southern tip of the archipelago. Here, tracers from Vestfjorden are transported tens of kilometers westward out on the outer shelf. Further north, weaker yet notable tidal pumping also takes place through the longer straits Nappstraumen and Gimsøystraumen. The other main transport route out of Vestfjorden is south of the island of Røst. Here, the transport is primarily due to tracer advection by rectified anticyclonic currents around the island. There is also an anticyclonic circulation cell around the island group Mosken–Værøy, and both cells have flow speeds up to 0.2 m s−1, magnitudes similar to the observed background currents in the region. These high-resolution simulations thus emphasize the importance of non-linear tidal dynamics for transport of floating particles, like cod eggs and larvae, in the region.


2012 ◽  
Vol 629 ◽  
pp. 581-586
Author(s):  
Zhi Jiang Yuan ◽  
Lian Gan Jin ◽  
Wei Chi ◽  
Heng Dou Tian

Underwater towed systems have the many applications in exploitation of underwater environments. While in the research exists which is about the numerical models of towed system, the relatively simple model of the towed body is used and the dynamic of the towing ship is neglected. The towing ship as part of towed system, its heave and pitch motion are coupled and highly non-linear. Considering the dynamic of three parts of towed system is important. In the paper, a newly couple model is developed to predict the behaviors of underwater towed systems under effect of the heave and pitch motion of towing ship. We use a finite difference method as the towed cable and is coupled with the non-linear numerical models of a towing ship and a towed body. Illustrative application of the coupling model is presented. The numerical results show the heave and pitch motion of towing ship affect the motion of towed body.


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