TITLE

Eulerian Variational Principles for Stratified Hydrostatic Equations

AUTHOR(S)
Bokhove, O.
PUB. DATE
May 2002
SOURCE
Journal of the Atmospheric Sciences;5/1/2002, Vol. 59 Issue 9, p1619
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The aim of this paper is to advocate the use of variational and Hamiltonian formulations of the hydrostatic equations of motion in finding new conservative numerical techniques for forecast models. For that reason, the fundamental conservative structure of the hydrostatic equations of motion is presented. Variational principles and Hamiltonian formulations of various hydrostatic equations, stratified continuously or in layers, are derived systematically from an Eulerian perspective in the horizontal and a Lagrangian or material perspective in the vertical direction. Variational formulations are derived for the hydrostatic incompressible Boussinesq system and the hydrostatic equations in multiple isentropic and isopycnic layers. The various Hamiltonian formulations presented share similar Poisson brackets; that is, the (contribution to the) Poisson bracket in each layer or in the continuously stratified case is the one for the shallow-water equations with the depth replaced by the appropriate pseudodensity, while the potential (and internal) energy in the Hamiltonian differs in each case. For hydrostatic equations in material coordinates, either stratified continuously or in layers, the coupling between layers happens solely through the Hamiltonian, an observation that may aid in searching for conservative numerical discretizations.
ACCESSION #
6528547

 

Related Articles

  • Quantum confinement and magnetic field effects on the electron Landé g factor in GaAs-(Ga,Al)As double quantum wells. Perea, J. Darío; Mejía-Salazar, J. R.; Porras-Montenegro, N. // AIP Conference Proceedings;12/22/2011, Vol. 1399 Issue 1, p361 

    Nowadays the spin-related phenomena have attracted great attention for the possible spintronic and optoelectronic applications. The manipulation of the Landé g factor by means of the control of the electron confinement, applied magnetic field and hydrostatic pressure offers the possibility of...

  • An optimal distributed control problem of the viscous generalized Camassa–Holm equation. Sun, Bing // Transactions of the Institute of Measurement & Control;Jun2013, Vol. 35 Issue 4, p409 

    In this work, an optimal distributed control problem of the viscous generalized Camassa–Holm equation is considered. By the Dubovitskii and Milyutin functional analytical approach, we prove the Pontryagin maximum principle of the investigational system. The necessary condition for...

  • WATER PRESSURE INCREASED IN GUAYNABO AT LAST.  // Caribbean Business;1/12/2006, Vol. 34 Issue 1, p40 

    The article reports on the increase in water pressure in Guaynabo, Puerto Rico.

  • Impact Response of PBX 9501 Below 2 GPA. Kline, K.; Horie, Y.; Dick, J. J.; Wang, W. // AIP Conference Proceedings;2002, Vol. 620 Issue 1, p411 

    DDME2, 2 discrete element code, is used to model plane shock-wave profiles in unreacted PBX 9501. The constitutive properties of the material are modeled in terms of hydrostatic pressure and viscoelastic shear stress. The former is modeled using Hugoniot data. The latter is represented by a...

  • High-pressure measurements of mid-infrared electroluminescence from InAs light-emitting diodes at 3.3 �m. Choulis, S. A.; Andreev, A.; Merrick, M.; Adams, A. R.; Murdin, B. N.; Krier, A.; Sherstnev, V. V. // Applied Physics Letters;2/24/2003, Vol. 82 Issue 8, p1149 

    The spontaneous electroluminescence emission of InAs light-emitting diodes (LEDs) operating at 3.3 �m was studied as a function of applied hydrostatic pressure. An enhancement of a factor of almost four in radiative efficiency at room temperature was observed in the range 0 to 10 kbar....

  • Potential vorticity conservation, hydrostatic adjustment, and the anelastic approximation. Bannon, Peter R. // Journal of the Atmospheric Sciences;6/15/95, Vol. 52 Issue 12, p2302 

    Examines the ability of anelastic equations to conserve potential vorticity (PV) and to parameterize the acoustic hydrostatic adjustment process. Anelastic approximation; Conservation of potential vorticity; Anelastic solution of Lamb's adjustment problem.

  • Under pressure. Siegenthaler, John // Plumbing & Mechanical;Aug96, Vol. 13 Issue 6, p30 

    Presents information on the static pressure involved in hydronics systems. Cause of static pressure; Calculation of static pressure; Depth perception.

  • Radiation defects in semiconductors under hydrostatic pressure. Brudnyi, V.N. // Semiconductors;Nov99, Vol. 33 Issue 11, p1166 

    The effect of hydrostatic pressure on the sensitivity of the electrical properties of irradiated semiconductors as functions of the position of the Fermi level in the band gap of the crystal has been investigated. A numerical analysis of the experimental data has been performed. This analysis is...

  • Effect of Hydrostatic Pressure on the Superconductivity in Fluorinated Hg[sub 0.8]Ba[sub 2]Ca[sub 2]Cu[sub 3.2]O[sub 8 + ][sub d]. Itskevich, E. S.; Morozov, I. V. // JETP Letters;7/25/2003, Vol. 78 Issue 2, p72 

    The effect of hydrostatic pressure on the superconducting transition temperature was measured for the Hg-1223 phase of a fluorinated mercury cuprate high-temperature superconductor with T[sub c][sub (optim)] = 138 K. The value of the T[sub c] derivative with respect to pressure was found to be...

Share

Read the Article

Courtesy of AIRBUS FRANCE S.A.S.

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics