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This '''Barotropic vorticity equation''' assumes the atmosphere is nearly barotropic, which means that the direction and speed of the [[geostrophic wind]] are independent of height. In other words, there is no vertical [[wind shear]] of the geostrophic wind. It also implies that thickness contours (a proxy for temperature) are parallel to upper level height contours. In this type of atmosphere, high and low pressure areas are centers of warm and cold temperature anomalies.  Warm-core highs (such as the [[subtropical ridge]] and Bermuda-Azores high) and [[cold-core low]]s have strengthening winds with height, with the reverse true for cold-core highs (shallow arctic highs) and warm-core lows (such as [[tropical cyclone]]s).<ref>{{cite book|title=Atmospheric Science: An Introductory Survey|author=Wallace, John M. and Peter V. Hobbs|year=1977|isbn=0-12-732950-1|publisher=Academic Press, Inc.|pages=384–385}}</ref>
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A simplified form of the [[vorticity equation]] for an inviscid, [[divergence]]-free flow ([[Solenoidal vector field|solenoidal]] velocity field), the '''barotropic vorticity equation''' can simply be stated as<ref>{{cite book
  | title = An Introduction to Global Spectral Modeling
  | author1 = T. N. Krishnamurti
  | author2 = H. S. Bedi
  | author3 = V. M. Hardiker
  | author4 = L. Ramaswamy
  | edition = 2
  | publisher = Birkhäuser
  | year = 2006
  | isbn = 978-0-387-30254-6
  }}</ref>
 
:<math>\frac{D \eta}{D t} = 0,</math>
 
where <math>\frac{D}{D t}</math> is the [[material derivative]] and
 
:<math>\eta = \zeta + f</math>
 
is ''absolute [[vorticity]]'', with <math>\zeta</math> being ''relative vorticity'', defined as the vertical component of the curl of the fluid
velocity and ''f'' is the ''[[Coriolis parameter]]''
 
:<math>f = 2 \Omega \sin \phi,</math>
 
where <math>\Omega</math> is the [[angular frequency]] of the planet's
rotation (<math>\Omega</math>=0.7272*10<sup>−4</sup> s<sup>−1</sup> for the earth) and <math>\phi</math> is [[latitude]].
 
In terms of ''relative vorticity'', the equation can be rewritten as
 
:<math>\frac{D \zeta}{D t} = -v \beta,</math>
 
where <math>\beta = \partial f / \partial y</math> is the variation of the ''Coriolis parameter'' with distance <math>y</math> in the north-south direction
and <math>v</math> is the component of velocity in this direction.
 
In 1950, Charney, Fjørtoft, and von Neumann integrated this equation (with an added [[diffusion]] term on the [[Left-hand side and right-hand side of an equation|RHS]]) on a [[computer]] for the first time, using an observed field of 500 [[pascal (unit)|hPa]] [[geopotential height]] for the first timestep.{{fact|date=December 2013}}  This was one of the first successful instances of [[numerical weather prediction]].
 
==See also==
*[[Barotropic]]
 
==References==
{{reflist}}
 
== External links ==
* http://www.met.reading.ac.uk/~ross/Science/BarVor.html
 
[[Category:Equations of fluid dynamics]]
 
 
{{Geophysics-stub}}

Revision as of 18:17, 4 March 2014

Msvcr71.dll is an significant file that assists help Windows process different components of the system including significant files. Specifically, the file is chosen to help run corresponding files inside the "Virtual C Runtime Library". These files are important in accessing any settings that support the different applications plus programs in the system. The msvcr71.dll file fulfills various important functions; nevertheless it's not spared from getting damaged or corrupted. Once the file gets corrupted or damaged, the computer might have a hard time processing plus reading components of the system. Nonetheless, users require not panic because this issue could be solved by following several procedures. And I usually show you some strategies regarding Msvcr71.dll.

Carry out window's system restore. It is really important to do this considering it removes wrong changes that have taken place in the program. Some of the mistakes result from inability of the program to create restore point regularly.

With RegCure you are able to easily better the start up plus shut down of the computer. The program shows the scan progress plus we shouldn't worry where it is working at that time. It shows you precisely what occurs. Dynamic link library section of the registry could cause severe application failures. RegCure restores and repairs the registry plus keeps we from DLL. RegCure is able to create individual corrections, so it will functions for a requirements.

In purchase to remove the programs on a computer, Windows Installer should be in a healthy state. If its installation is corrupted you will obtain error 1721 in Windows 7, Vista plus XP throughout the program removal task. Simply re-registering its component files would resolve the problem.

There are actually several registry mechanic software pieces in the web plus truly the only thing that you have to do is to download them. Unfortunately, we cannot expect which all of these are as efficient because they claim to be. And considering of this, it is important for you to check if a vendor is actually reliable and credible.

Another element is registry. It is one of the many important part in a Windows XP, Vista running systems. When Windows start, it read related data from registry and load into computer RAM. This takes up a big piece of the startup time. After the data is all loaded, computer runs the startup programs.

Maybe you are asking why these windows XP error messages appear. Well, for we to be capable to understand the fix, you must initially know where those errors come from. There is this software called registry. A registry is software that shops everything on a PC from a normal configuration, setting, info, and logs of escapades from installing to UN-installing, saving to deleting, plus a lot more alterations we do inside the system pass from it plus gets 'tagged' plus saved because a simple file for healing reasons. Imagine it because a big recorder, a registrar, of all a records in the PC.

Before you purchase a complete modern system; it is actually time to receive the aged 1 cleaned up to begin getting more done online today! Visit our site below and access the most reputable registry cleaner software accessible.