TITLE:
Relationship between Sea Surface Single Carrier Waves and Decreasing Pressures of Atmosphere Lower Boundary
AUTHORS:
Daika Augustin, Mbane Biouele César
KEYWORDS:
Nonlinear Theory of Off-Balance Systems, Births of Single Carrier Waves Associated with Atmosphere’s Low Pressure Systems, NLSE (Nonlinear Schrodinger Equation)
JOURNAL NAME:
Open Journal of Marine Science,
Vol.5 No.1,
January
9,
2015
ABSTRACT: Descriptions of unusually high waves
appearing on the sea surface for a short time (freak, rogue or killer waves)
have been considered as a part of marine folklore for a long time. A number of
instrumental registrations have appeared recently making the community to pay
more attention to this problem and to reconsider known observations of freak
waves. To allow a better understanding of the behavior of rogue waves
associated with tornadoes in terms of their origin, the nonlinear theory of off-balance
systems is developed in the specific case of strong agitations constantly seen
on the surface of extensive and deep rivers, when they are crossed by an atmosphere’s
low pressure system (tornadoes, cyclones, hurricanes, etc.). A mathematical
model based on the Navier-Stokes and Euler Lagrange equations coupled with
assumptions derived from instrumental registrations on the training locations
(or birth places) of freak waves is developed to enhance the physics of
processes responsible for the formation (or origin) of the waves associated
with atmosphere’s low pressure systems. Freak waves births’ constraints are
mainly the need for both consistent water (i.e., extensive-deep rivers) and potential
velocity flow availabilities. Numerical simulations, based on the use of the
NLSE (Nonlinear Schrodinger Equation) are performed to validate our mathematical model on
the births of single carrier waves associated with atmosphere’s low pressure
systems.