Analysis of the hydrostatic approximation in oceanography with compression term
Analysis of the hydrostatic approximation in oceanography with compression term
Analysis of the hydrostatic approximation in oceanography with compression term
The hydrostatic approximation of the incompressible 3D stationary Navier-Stokes equations is widely used in oceanography and other applied sciences. It appears through a limit process due to the anisotropy of the domain in use, an ocean, and it is usually studied as such. We consider in this paper an equivalent formulation to this hydrostatic approximation that includes Coriolis force and an additional pressure term that comes from taking into account the pressure in the state equation for...
Analysis of the hydrostatic approximation in oceanography with compression term
The hydrostatic approximation of the incompressible 3D stationary Navier-Stokes equations is widely used in oceanography and other applied sciences. It appears through a limit process due to the anisotropy of the domain in use, an ocean, and it is usually studied as such. We consider in this paper an equivalent formulation to this hydrostatic approximation that includes Coriolis force and an additional pressure term that comes from taking into account the pressure in the state equation for...
Analytical and numerical solutions to initial-boundary value problems of the water wave motion in a reservoir.
Assimilation variationnelle de données océanographiques Approches primale et duale
Baroclinic Kelvin Waves in a Rotating Circular Basin
A linear, uniformly stratified ocean model is used to investigate propagation of baroclinic Kelvin waves in a cylindrical basin. It is found that smaller wave amplitudes are inherent to higher mode individual terms of the obtained solutions that are also evanescent away of a costal line toward the center of the circular basin. It is also shown that the individual terms if the obtained solutions can be visualized as spinning patterns in rotating stratified fluid confined in a circular basin. Moreover,...
Bayesian methods in hydrology: a review.
Hydrology and water resources management are inherently affected by uncertainty in many of their involved processes, including inflows, rainfall, water demand, evaporation, etc. Statistics plays, therefore, an essential role in their study. We review here some recent advances within Bayesian statistics and decision analysis which will have a profound impact in these fields.
Caustic consideration of long planetary wave packet analysis in the continuously stratified ocean.
Circulation thermohaline et équations planétaires géostrophiques : propriétés physiques, numériques et mathématiques
Continuous-time finite element analysis of multiphase flow in groundwater hydrology
A nonlinear differential system for describing an air-water system in groundwater hydrology is given. The system is written in a fractional flow formulation, i.e., in terms of a saturation and a global pressure. A continuous-time version of the finite element method is developed and analyzed for the approximation of the saturation and pressure. The saturation equation is treated by a Galerkin finite element method, while the pressure equation is treated by a mixed finite element method. The analysis...
Convergence of the rotating fluids system in a domain with rough boundaries
We consider a rotating fluid in a domain with rough horizontal boundaries. The Rossby number, kinematic viscosity and roughness are supposed of characteristic size . We prove a convergence theorem on solutions of Navier-Stokes Coriolis equations, as goes to zero, in the well prepared case. We show in particular that the limit system is a two-dimensional Euler equation with a nonlinear damping term due to boundary layers. We thus generalize the results obtained on flat boundaries with the classical...
Creation and coupling of Rossby waves over topography and the breakdown of WKB theory
Development of a mathematical theory of inner gravitational waves in deep reservoirs of variable width.
Écoulement tangentiel sur une surface rugueuse et loi de Navier
Ergodicity of stochastically forced large scale geophysical flows.
Escape probability and mean residence time in random flows with unsteady drift.
Existence of global solution for a differential system with initial data in .
Existence of global solutions to the 2-D subcritical dissipative quasi-geostrophic equation and persistency of the initial regularity.
Fast singular oscillating limits and global regularity for the 3D primitive equations of geophysics