Variable Bottom Topography

2015 ◽  
pp. 286-357
Keyword(s):  
Bottom Topography ◽  
Variable Bottom

scholarly journals Integral Constraints for Momentum and Energy in Zonal Flows with Parameterized Potential Vorticity Fluxes: Governing Parameters

2014 ◽  
Vol 44 (3) ◽  
pp. 922-943 ◽  
Author(s):  
V. O. Ivchenko ◽  
S. Danilov ◽  
B. Sinha ◽  
J. Schröter
Keyword(s):  
Ocean Circulation ◽  
Potential Vorticity ◽  
Channel Model ◽  
Bottom Topography ◽  
Flat Bottom ◽  
Zonal Flows ◽  
Integral Constraints ◽  
Variable Bottom ◽  
Eddy Fluxes ◽  
The Impact

Abstract Integral constraints for momentum and energy impose restrictions on parameterizations of eddy potential vorticity (PV) fluxes. The impact of these constraints is studied for a wind-forced quasigeostrophic two-layer zonal channel model with variable bottom topography. The presence of a small parameter, given by the ratio of Rossby radius to the width of the channel, makes it possible to find an analytical/asymptotic solution for the zonally and time-averaged flow, given diffusive parameterizations for the eddy PV fluxes. This solution, when substituted in the constraints, leads to nontrivial explicit restrictions on diffusivities. The system is characterized by four dimensionless governing parameters with a clear physical interpretation. The bottom form stress, the major term balancing the external force of wind stress, depends on the governing parameters and fundamentally modifies the restrictions compared to the flat bottom case. While the analytical solution bears an illustrative character, it helps to see certain nontrivial connections in the system that will be useful in the analysis of more complicated models of ocean circulation. A numerical solution supports the analytical study and confirms that the presence of topography strongly modifies the eddy fluxes.

scholarly journals PERIODIC FLOWS FROM TIDAL INLETS

1978 ◽  
Vol 1 (16) ◽  
pp. 78
Author(s):  
D.L. Wilkinson
Keyword(s):  
Bottom Topography ◽  
Vortex Pair ◽  
Periodic Flows ◽  
Variable Bottom ◽  
Dominant Feature ◽  
Coastal Inlet ◽  
Offshore Flow ◽  
Rotational Motions ◽  
Starting Jet ◽  
Coastal Inlets

A study was undertaken of the flow produced in the offshore region by tidal currents at the entrance of a coastal inlet. The gross features of the offshore flow structure were examined in an idealised two dimensional model in which a sinusoidally reversing flow was discharged from an open channel into a large stagnant basin. During each period of ebb flow, the discharge from the simulated inlet developed a structure very similar to that of a starting jet, and a vortex pair was observed to form and ultimately became the dominant feature of the flow. Although variable bottom topography and long shore currents will distort the flow pattern, the rotational motions observed in these experiments would be expected to persist. The study was restricted to coastal inlets in which the sectional area of the entrance channel is several orders of magnitude smaller the area of water surface inside the inlet.

scholarly journals A Mathematical Model of Stratified Geophysical Fluid Flows Over Variable Bottom Topography

2020 ◽  
Vol 3 (3b) ◽  
pp. 112-137
Author(s):  
SI Iornumbe ◽  
T Tivde ◽  
RA Chia
Keyword(s):  
Mathematical Model ◽  
Shallow Water ◽  
Wave Motion ◽  
Wave Speed ◽  
Bottom Topography ◽  
Nonlinear Partial Differential Equations ◽  
Fluid Flows ◽  
Variable Bottom ◽  
Conservation Of Momentum ◽  
Model Equations

In this paper, a mathematical model of stratified geophysical fluid flow over variable bottom topography was derived for shallow water. The equations are derived from the principles of conservation of mass and conservation of momentum. The force acting on the fluid is gravity, represented by the gravitational constant. A system of six nonlinear partial differential equations was obtained as the model equations. The solutions of these models were obtained using perturbation method. The presence of the coriolis force in the shallow water equations were shown as the causes of the deflection of fluid parcels in the direction of wave motion and causes gravity waves to disperse. As water depth decreases due to varied bottom topography, the wave amplitude were shown to increase while the wavelength and wave speed decreases resulting in overturning of the wave. The results are presented graphically.

Hydroelastic response of a very large floating structure over a variable bottom topography

2005 ◽  
Vol 32 (17-18) ◽  
pp. 2040-2052 ◽  
Author(s):  
Jo Hyun Kyoung ◽  
Sa Young Hong ◽  
Byoung Wan Kim ◽  
Seok Kyu Cho
Keyword(s):  
Bottom Topography ◽  
Floating Structure ◽  
Very Large Floating Structure ◽  
Variable Bottom ◽  
Hydroelastic Response
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