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- Beta_plane abstract "In geophysical fluid dynamics, an approximation whereby the Coriolis parameter, f, is set to vary linearly in space is called a beta plane approximation. On a rotating sphere such as the earth, f varies with the sine of latitude; in the so-called f-plane approximation, this variation is ignored, and a value of f appropriate for a particular latitude is used throughout the domain. This approximation can be visualized as a tangent plane touching the surface of the sphere at this latitude. A more accurate model is a linear approximation to this variability about a given latitude (in the sense of a Taylor series expansion). In analogy with the f-plane, this approximation is termed the beta plane, even though it no longer describes dynamics on a hypothetical tangent plane. The advantage of the beta plane approximation over more accurate formulations is that it does not contribute nonlinear terms to the dynamical equations; such terms make the equations harder to solve. The name 'beta plane' derives from the convention to denote the linear coefficient of variation with the Greek letter β.The beta plane approximation is useful for the theoretical analysis of many phenomena in geophysical fluid dynamics since it makes the equations much more tractable, yet retains the important information that the Coriolis parameter varies in space. In particular, Rossby waves, the most important type of waves if one considers large-scale atmospheric and oceanic dynamics, depend on the variation of f as a restoring force; they do not occur if the Coriolis parameter is approximated only as a constant.".
- Beta_plane wikiPageID "5260710".
- Beta_plane wikiPageLength "2050".
- Beta_plane wikiPageOutDegree "12".
- Beta_plane wikiPageRevisionID "566259795".
- Beta_plane wikiPageWikiLink Baroclinity.
- Beta_plane wikiPageWikiLink Category:Atmospheric_dynamics.
- Beta_plane wikiPageWikiLink Category:Fluid_dynamics.
- Beta_plane wikiPageWikiLink Category:Oceanography.
- Beta_plane wikiPageWikiLink Coriolis_force.
- Beta_plane wikiPageWikiLink Coriolis_frequency.
- Beta_plane wikiPageWikiLink F-plane.
- Beta_plane wikiPageWikiLink Fluid_dynamics.
- Beta_plane wikiPageWikiLink Geophysics.
- Beta_plane wikiPageWikiLink Rossby_wave.
- Beta_plane wikiPageWikiLink Taylor_series.
- Beta_plane wikiPageWikiLinkText "".
- Beta_plane wikiPageWikiLinkText "Beta plane".
- Beta_plane wikiPageWikiLinkText "beta plane approximation".
- Beta_plane wikiPageWikiLinkText "beta plane".
- Beta_plane subject Category:Atmospheric_dynamics.
- Beta_plane subject Category:Fluid_dynamics.
- Beta_plane subject Category:Oceanography.
- Beta_plane type Dynamic.
- Beta_plane type Mechanic.
- Beta_plane type Science.
- Beta_plane comment "In geophysical fluid dynamics, an approximation whereby the Coriolis parameter, f, is set to vary linearly in space is called a beta plane approximation. On a rotating sphere such as the earth, f varies with the sine of latitude; in the so-called f-plane approximation, this variation is ignored, and a value of f appropriate for a particular latitude is used throughout the domain. This approximation can be visualized as a tangent plane touching the surface of the sphere at this latitude.".
- Beta_plane label "Beta plane".
- Beta_plane sameAs Q1797591.
- Beta_plane sameAs Betaplan.
- Beta_plane sameAs Betaplan.
- Beta_plane sameAs Płaszczyzna_beta.
- Beta_plane sameAs m.0dbc_j.
- Beta_plane sameAs Q1797591.
- Beta_plane wasDerivedFrom Beta_plane?oldid=566259795.
- Beta_plane isPrimaryTopicOf Beta_plane.