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Numerical weather prediction
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==Data collection and initialization== [[File:Lockheed WP-3D Orion.jpg|280px|thumb|right|Weather reconnaissance aircraft, such as this [[WP-3D Orion]], provide data that is then used in numerical weather forecasts.|alt=A [[WP-3D Orion]] weather reconnaissance aircraft in flight.]] The [[atmosphere]] is a [[fluid]]. As such, the idea of numerical weather prediction is to sample the state of the fluid at a given time and use the equations of [[fluid dynamics]] and [[thermodynamics]] to estimate the state of the fluid at some time in the future. The process of entering observation data into the model to generate [[initial value problem|initial conditions]] is called ''initialization''. On land, terrain maps available at resolutions down to {{convert|1|km|mi|1|sp=us}} globally are used to help model atmospheric circulations within regions of rugged topography, in order to better depict features such as downslope winds, [[Lee wave|mountain wave]]s and related cloudiness that affects incoming solar radiation.<ref>{{cite book|url=https://books.google.com/books?id=lMXSpRwKNO8C&pg=PA56|title=Parameterization schemes: keys to understanding numerical weather prediction models|author=Stensrud, David J.|page=56|year=2007|publisher=Cambridge University Press|isbn=978-0-521-86540-1}}</ref> One main source of input is observations from devices (called [[radiosonde]]s) in weather balloons which rise through the [[troposphere]] and well into the [[stratosphere]] that measure various atmospheric parameters and transmits them to a fixed receiver.<ref>{{cite web|last=Gaffen|first=Dian J.|title=Radiosonde Observations and Their Use in SPARC-Related Investigations|archive-url=https://web.archive.org/web/20070607142822/http://www.aero.jussieu.fr/~sparc/News12/Radiosondes.html|archive-date=2007-06-07|date=2007-06-07|url=http://www.aero.jussieu.fr/~sparc/News12/Radiosondes.html}}</ref> Another main input is data from [[weather satellite]]s. The [[World Meteorological Organization]] acts to standardize the instrumentation, observing practices and timing of these observations worldwide. Stations either report hourly in [[METAR]] reports,<ref>{{cite web|title=Key to METAR Surface Weather Observations|url=http://www.ncdc.noaa.gov/oa/climate/conversion/swometardecoder.html|publisher=[[National Oceanic and Atmospheric Administration]]|access-date=2011-02-11|author=[[National Climatic Data Center]]|date=2008-08-20|archive-date=2002-11-01|archive-url=https://web.archive.org/web/20021101221848/http://www0.ncdc.noaa.gov/oa/climate/conversion/swometardecoder.html|url-status=dead}}</ref> or every six hours in [[SYNOP]] reports.<ref>{{cite web|title=SYNOP Data Format (FM-12): Surface Synoptic Observations|publisher=[[UNISYS]]|archive-url=https://web.archive.org/web/20071230100059/http://weather.unisys.com/wxp/Appendices/Formats/SYNOP.html|archive-date=2007-12-30|date=2008-05-25|url=http://weather.unisys.com/wxp/Appendices/Formats/SYNOP.html}}</ref> These observations are irregularly spaced, so they are processed by [[data assimilation]] and objective analysis methods, which perform quality control and obtain values at locations usable by the model's mathematical algorithms.<ref name="Krishnamurti Annu Rev FM">{{cite journal|last=Krishnamurti|first=T. N.|title=Numerical Weather Prediction|journal=[[Annual Reviews (publisher)|Annual Review of Fluid Mechanics]]|date=January 1995|volume=27|issue=1|pages=195β225|doi=10.1146/annurev.fl.27.010195.001211|bibcode=1995AnRFM..27..195K|s2cid=122230747 }}</ref> The data are then used in the model as the starting point for a forecast.<ref>{{cite web|title=The WRF Variational Data Assimilation System (WRF-Var)|publisher=[[University Corporation for Atmospheric Research]]|archive-url=https://web.archive.org/web/20070814044336/http://www.mmm.ucar.edu/wrf/WG4/wrfvar/wrfvar-tutorial.htm|archive-date=2007-08-14|date=2007-08-14|url=http://www.mmm.ucar.edu/wrf/WG4/wrfvar/wrfvar-tutorial.htm}}</ref> Commercial aircraft provide [[pilot report]]s along travel routes<ref>{{cite journal|last=Ballish|first=Bradley A.|author2=V. Krishna Kumar |title=Systematic Differences in Aircraft and Radiosonde Temperatures|journal=[[Bulletin of the American Meteorological Society]]|date=November 2008|volume=89|issue=11|pages=1689β1708|doi=10.1175/2008BAMS2332.1|bibcode=2008BAMS...89.1689B|access-date=2011-02-16|url=http://amdar.noaa.gov/docs/bams_ballish_kumar.pdf}}</ref> and ship reports along shipping routes.<ref>{{cite web|author=National Data Buoy Center|url=http://www.vos.noaa.gov/vos_scheme.shtml|title=The WMO Voluntary Observing Ships (VOS) Scheme|access-date=2011-02-15|date=2009-01-28|publisher=[[National Oceanic and Atmospheric Administration]]}}</ref> Commercial aircraft also submit automatic reports via the WHO's [[Aircraft Meteorological Data Relay]] (AMDAR) system, using [[VHF]] radio to ground stations or satellites. Research projects use [[weather reconnaissance|reconnaissance aircraft]] to fly in and around weather systems of interest, such as [[tropical cyclone]]s.<ref name="Hurricane Hunters">{{cite web|year=2011|author=403rd Wing|url=http://www.hurricanehunters.com|title=The Hurricane Hunters|publisher=[[Hurricane Hunters|53rd Weather Reconnaissance Squadron]]|access-date=2006-03-30|archive-date=2012-05-30|archive-url=https://web.archive.org/web/20120530232904/http://www.hurricanehunters.com/|url-status=dead}}</ref><ref name="SunHerald">{{cite news|author=Lee, Christopher|title=Drone, Sensors May Open Path Into Eye of Storm|url=https://www.washingtonpost.com/wp-dyn/content/article/2007/10/07/AR2007100700971_pf.html|newspaper=The Washington Post|access-date=2008-02-22|date=2007-10-08}}</ref> Reconnaissance aircraft are also flown over the open oceans during the cold season into systems which cause significant uncertainty in forecast guidance, or are expected to be of high impact from three to seven days into the future over the downstream continent.<ref>{{cite web|url=http://www.noaanews.noaa.gov/stories2010/20100112_plane.html|title=NOAA Dispatches High-Tech Research Plane to Improve Winter Storm Forecasts|date=2010-11-12|access-date=2010-12-22|author=[[National Oceanic and Atmospheric Administration]]}}</ref> Sea ice began to be initialized in forecast models in 1971.<ref>{{cite book|url=https://books.google.com/books?id=lMXSpRwKNO8C&pg=PA137|author=Stensrud, David J.|page=137|title=Parameterization schemes: keys to understanding numerical weather prediction models|publisher=[[Cambridge University Press]]|year=2007|isbn=978-0-521-86540-1}}</ref> Efforts to involve [[sea surface temperature]] in model initialization began in 1972 due to its role in modulating weather in higher latitudes of the Pacific.<ref>{{cite book|url=https://books.google.com/books?id=SV04AAAAIAAJ&pg=PA38|pages=49β50|title=The Global Climate|author=Houghton, John Theodore|publisher=Cambridge University Press archive|year=1985|isbn=978-0-521-31256-1}}</ref>
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