PhilEx Profiling Measurements of Internal Waves and Mixing Processes

2011 ◽  
Author(s):  
James R. Girton ◽  
Matthew H. Alford
Keyword(s):  
Internal Waves ◽  
Mixing Processes

scholarly journals Numerical modelling of disintegration of basin-scale internal waves in a tank filled with stratified water

2005 ◽  
Vol 12 (6) ◽  
pp. 955-964 ◽  
Author(s):  
N. Stashchuk ◽  
V. Vlasenko ◽  
K. Hutter
Keyword(s):  
Numerical Model ◽  
Internal Waves ◽  
Solitary Waves ◽  
Mixing Processes ◽  
Wave Regime ◽  
Stratified Lakes ◽  
Low Dissipation ◽  
Basin Scale ◽  
Shear Instabilities ◽  
Set Up

Abstract. We present the results of numerical experiments performed with the use of a fully non-linear non-hydrostatic numerical model to study the baroclinic response of a long narrow tank filled with stratified water to an initially tilted interface. Upon release, the system starts to oscillate with an eigen frequency corresponding to basin-scale baroclinic gravitational seiches. Field observations suggest that the disintegration of basin-scale internal waves into packets of solitary waves, shear instabilities, billows and spots of mixed water are important mechanisms for the transfer of energy within stratified lakes. Laboratory experiments performed by D. A. Horn, J. Imberger and G. N. Ivey (JFM, 2001) reproduced several regimes, which include damped linear waves and solitary waves. The generation of billows and shear instabilities induced by the basin-scale wave was, however, not sufficiently studied. The developed numerical model computes a variety of flows, which were not observed with the experimental set-up. In particular, the model results showed that under conditions of low dissipation, the regimes of billows and supercritical flows may transform into a solitary wave regime. The obtained results can help in the interpretation of numerous observations of mixing processes in real lakes.

scholarly journals Internal waves in the Strait of Gibraltar and their role in the vertical mixing processes within the Bay of Algeciras

2013 ◽  
Vol 126 ◽  
pp. 70-86 ◽  
Author(s):  
J. Chioua ◽  
M. Bruno ◽  
A. Vázquez ◽  
M. Reyes ◽  
J.J. Gomiz ◽  
...  
Keyword(s):  
Internal Waves ◽  
Vertical Mixing ◽  
Strait Of Gibraltar ◽  
Mixing Processes

scholarly journals A review of the role of submarine canyons in deep-ocean exchange with the shelf

Ocean Science ◽  
2009 ◽  
Vol 5 (4) ◽  
pp. 607-620 ◽  
Author(s):  
S. E. Allen ◽  
X. Durrieu de Madron
Keyword(s):  
Internal Waves ◽  
Deep Ocean ◽  
Shelf Break ◽  
Small Scale ◽  
Rossby Number ◽  
Shelf Water ◽  
Submarine Canyons ◽  
Mixing Processes ◽  
State Of The Science

Abstract. Cross shelf-break exchange is limited by the tendency of geostrophic flow to follow bathymetric contours, not cross them. However, small scale topography, such as canyons, can reduce the local lengthscale of the flow and increase the local Rossby number. These higher Rossby numbers mean the flow is no longer purely geostrophic and significant cross-isobath flow can occur. This cross-isobath flow includes both upwelling and downwelling due to wind-driven shelf currents and the strong cascading flows of dense shelf-water into the ocean. Tidal currents usually run primarily parallel to the shelf-break topography. Canyons cut across these flows and thus are often regions of generation of strong baroclinic tides and internal waves. Canyons can also focus internal waves. Both processes lead to greatly elevated levels of mixing. Thus, through both advection and mixing processes, canyons can enhance Deep Ocean Shelf Exchange. Here we review the state of the science describing the dynamics of the flows and suggest further areas of research, particularly into quantifying fluxes of nutrients and carbon as well as heat and salt through canyons.

scholarly journals A review of the role of submarine canyons in deep-ocean exchange with the shelf

2009 ◽  
Vol 6 (2) ◽  
pp. 1369-1406 ◽  
Author(s):  
S. E. Allen ◽  
X. Durrieu de Madron
Keyword(s):  
Internal Waves ◽  
Deep Ocean ◽  
Shelf Break ◽  
Small Scale ◽  
Rossby Number ◽  
Shelf Water ◽  
Submarine Canyons ◽  
Mixing Processes ◽  
State Of The Science

Abstract. Cross shelf-break exchange is limited by the tendency of geostrophic flow to follow bathymetric contours, not cross them. However, small scale topography, such as canyons, can reduce the local lengthscale of the flow and increase the local Rossby number. These higher Rossby numbers mean the flow is no longer purely geostrophic and significant cross-isobath flow can occur. This cross-isobath flow includes both upwelling and downwelling due to wind-driven shelf currents and the strong cascading flows of dense shelf-water into the ocean. Tidal currents usually run primarily parallel to the shelf-break topography. Canyons cut across these flows and thus are often regions of generation of strong baroclinic tides and internal waves. Canyons can also focus internal waves. Both processes lead to greatly elevated levels of mixing. Thus, through both advection and mixing processes, canyons can enhance Deep Ocean Shelf Exchange. Here we review the state of the science describing the dynamics of the flows and suggest further areas of research, particularly into quantifying fluxes of nutrients and carbon as well as heat and salt through canyons.

Extended F-Expansion Method for Solving the modified Korteweg-de Vries (mKdV) Equation

2020 ◽  
Vol 11 (1) ◽  
pp. 93-100
Author(s):  
Vina Apriliani ◽  
Ikhsan Maulidi ◽  
Budi Azhari
Keyword(s):  
Wave Equation ◽  
Exact Solutions ◽  
Internal Waves ◽  
Water Waves ◽  
Wave Equations ◽  
Elliptic Functions ◽  
Expansion Method ◽  
Mkdv Equation ◽  
Innovative Methods ◽  
De Vries

One of the phenomenon in marine science that is often encountered is the phenomenon of water waves. Waves that occur below the surface of seawater are called internal waves. One of the mathematical models that can represent solitary internal waves is the modified Korteweg-de Vries (mKdV) equation. Many methods can be used to construct the solution of the mKdV wave equation, one of which is the extended F-expansion method. The purpose of this study is to determine the solution of the mKdV wave equation using the extended F-expansion method. The result of solving the mKdV wave equation is the exact solutions. The exact solutions of the mKdV wave equation are expressed in the Jacobi elliptic functions, trigonometric functions, and hyperbolic functions. From this research, it is expected to be able to add insight and knowledge about the implementation of the innovative methods for solving wave equations. 

An analogy between electromagnetic and internal waves

2019 ◽  
Vol 485 (4) ◽  
pp. 428-433
Author(s):  
V. G. Baydulov ◽  
P. A. Lesovskiy
Keyword(s):  
Angular Momentum ◽  
Conservation Laws ◽  
Internal Wave ◽  
Special Relativity ◽  
Internal Waves ◽  
Maxwell Equations ◽  
Wave Equations ◽  
Lagrange Function ◽  
Lorentz Transformations ◽  
Symmetry Transformations

For the symmetry group of internal-wave equations, the mechanical content of invariants and symmetry transformations is determined. The performed comparison makes it possible to construct expressions for analogs of momentum, angular momentum, energy, Lorentz transformations, and other characteristics of special relativity and electro-dynamics. The expressions for the Lagrange function are defined, and the conservation laws are derived. An analogy is drawn both in the case of the absence of sources and currents in the Maxwell equations and in their presence.

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