by neufer » Wed Feb 20, 2013 3:55 pm
Chris Peterson wrote:rstevenson wrote:
Just a few days ago I watched a recent episode of PBS's excellent Nova program,
Earth From Space. Part way through it, in a section about weather systems around Antarctica, they showed a time-lapse video of low-pressure systems whirling around the continent over the space of months. A sometimes hexagonal pattern appeared in a kind of pulsating way, not always there, not always hexagonal, but definitely a pattern. It seems complex systems, given the right conditions, naturally create geometric shapes, if not always stable ones.
It is worth noting that outside of carefully contrived setups, no complex system (which, in fact, includes systems that might seem incredibly simple to us) are stable. It's always a question of how long some sort of metastability can be maintained.
I never meet a
stable I didn't like.
Atmospheric RO(ss)B(y) waves were "discovered" by a Swedish American to help explain why Nova Scotia is colder than Sweden:
http://en.wikipedia.org/wiki/Rossby_Waves wrote:
[img3="
Meanders of the northern hemisphere's jet stream developing (a, b) and finally detaching a "drop" of cold air (c). Orange: warmer masses of air; white: jet stream. [If the Earth rotated in just
10.6 hours the polygonal pattern would be MUCH more stable]"]
http://upload.wikimedia.org/wikipedia/c ... aves_N.gif[/img3]
<<Atmospheric Rossby waves are giant meanders in high-altitude winds that are a major influence on weather.
Atmospheric Rossby waves emerge due to shear in rotating fluids, so that the Coriolis force changes along the sheared coordinate. In planetary atmospheres, they are due to the variation in the Coriolis effect with latitude. The waves were first identified in the Earth's atmosphere in 1939 by
Carl-Gustaf Arvid Rossby who went on to explain their motion.
One can identify a Rossby wave in that its phase velocity (that of the wave crests) always has a westward component. However, the wave's group velocity (associated with the energy flux) can be in any direction. In general, shorter waves have an eastward group velocity and long waves a westward group velocity.
The terms "barotropic" and "baroclinic" Rossby waves are used to distinguish their vertical structure:
- 1) Barotropic Rossby waves do not vary in the vertical, and have the fastest propagation speeds.
2) The baroclinic wave modes are slower, with speeds of only a few centimetres per second or less.
Most work on Rossby waves has been done on those in Earth's atmosphere.
Rossby waves in the Earth's atmosphere are easy to observe as (usually 4-6) large-scale meanders of the jet stream. When these deviations become very pronounced, they detach the masses of cold, or warm, air that become cyclones and anticyclones and are responsible for day-to-day weather patterns at mid-latitudes.
Rossby waves may be partly responsible for the fact that eastern continental edges, such as the Northeast United States and Eastern Canada, are colder than Europe at the same latitudes.>>
[quote="Chris Peterson"][quote="rstevenson"]
Just a few days ago I watched a recent episode of PBS's excellent Nova program, [url=http://www.pbs.org/wgbh/nova/space/earth-from-space.html]Earth From Space[/url]. Part way through it, in a section about weather systems around Antarctica, they showed a time-lapse video of low-pressure systems whirling around the continent over the space of months. A sometimes hexagonal pattern appeared in a kind of pulsating way, not always there, not always hexagonal, but definitely a pattern. It seems complex systems, given the right conditions, naturally create geometric shapes, if not always stable ones.[/quote]
It is worth noting that outside of carefully contrived setups, no complex system (which, in fact, includes systems that might seem incredibly simple to us) are stable. It's always a question of how long some sort of metastability can be maintained.[/quote]
[c]I never meet a [url=http://en.wikipedia.org/wiki/Augeas]stable[/url] I didn't like.[/c]
Atmospheric RO(ss)B(y) waves were "discovered" by a Swedish American to help explain why Nova Scotia is colder than Sweden:
[quote=" http://en.wikipedia.org/wiki/Rossby_Waves"]
[float=right][img3="[b][size=125][color=#0000FF]Meanders of the northern hemisphere's jet stream developing (a, b) and finally detaching a "drop" of cold air (c).[/color] [color=#FF7F00]Orange: warmer masses of air; white: jet stream.[/color] [color=#FF0000][If the Earth rotated in just
10.6 hours the polygonal pattern would be [u]MUCH[/u] more stable][/color][/size][/b]"]http://upload.wikimedia.org/wikipedia/commons/thumb/8/85/N_Jetstream_Rossby_Waves_N.gif/800px-N_Jetstream_Rossby_Waves_N.gif[/img3][/float]<<Atmospheric Rossby waves are giant meanders in high-altitude winds that are a major influence on weather.
Atmospheric Rossby waves emerge due to shear in rotating fluids, so that the Coriolis force changes along the sheared coordinate. In planetary atmospheres, they are due to the variation in the Coriolis effect with latitude. The waves were first identified in the Earth's atmosphere in 1939 by [url=http://en.wikipedia.org/wiki/Carl-Gustaf_Arvid_Rossby]Carl-Gustaf Arvid Rossby[/url] who went on to explain their motion.
One can identify a Rossby wave in that its phase velocity (that of the wave crests) always has a westward component. However, the wave's group velocity (associated with the energy flux) can be in any direction. In general, shorter waves have an eastward group velocity and long waves a westward group velocity.
The terms "barotropic" and "baroclinic" Rossby waves are used to distinguish their vertical structure:
[list]1) Barotropic Rossby waves do not vary in the vertical, and have the fastest propagation speeds.
2) The baroclinic wave modes are slower, with speeds of only a few centimetres per second or less.[/list]
Most work on Rossby waves has been done on those in Earth's atmosphere. [b][color=#FF0000]Rossby waves in the Earth's atmosphere are easy to observe as (usually 4-6) large-scale meanders of the jet stream.[/color][/b] When these deviations become very pronounced, they detach the masses of cold, or warm, air that become cyclones and anticyclones and are responsible for day-to-day weather patterns at mid-latitudes. [b][color=#0000FF]Rossby waves may be partly responsible for the fact that eastern continental edges, such as the Northeast United States and Eastern Canada, are colder than Europe at the same latitudes.[/color][/b]>>[/quote]