Boussinesq and Anelastic Approximations Revisited: Potential Energy Release during Thermobaric Instability
نویسندگان
چکیده
منابع مشابه
Boussinesq and Anelastic Approximations Revisited: Potential Energy Release during Thermobaric Instability
Expressions are derived for the potential energy of a fluid whose density depends on three variables: temperature, pressure, and salinity. The thermal expansion coefficient is a function of depth, and the application is to thermobaric convection in the oceans. Energy conservation, with conversion between kinetic and potential energies during adiabatic, inviscid motion, exists for the Boussinesq...
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The continuous spectrum and soliton solutions for the Boussinesq equation are investigated using the ∂̄-dressing method. Solitons demonstrate quite extraordinary behavior; they may decay or form a singularity in a finite time. Formation of singularity (collapse of solitons) for the Boussinesq equation was discovered several years ago. Systematic study of the solitonic sector is presented. © 2002...
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The simplifications required to apply the Boussinesq approximation to compressible flow are compared with those in an incompressible fluid. The larger degree of approximation required to describe mass conservation in a stratified compressible fluid with the Boussinesq continuity equation has led to the development of several different sets of “anelastic” equations that may be regarded as genera...
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ژورنال
عنوان ژورنال: Journal of Physical Oceanography
سال: 2005
ISSN: 1520-0485,0022-3670
DOI: 10.1175/jpo2756.1