THE INSTABILITY OF TRAJECTORY AND ERROR GROWTH

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摘要 Thepurposeofthispaperistostudythedynamicalmechanismoferrorgrowthinthenumericalweatherprediction.Theerrorisdefinedinthesenseofgeneralizedenergy,simplycalledenergyerror.Fromthespectralformoftheprimi-tiveequations,wehavederivedtheevolutionequationsoferrorindetail.Theanalysesoftheseequationshaveshownthattheerrorgrowthrateisdeterminedbythetangentlinearequations.Thenonlinearadvectioncausedbytheerrorperturbationitselfcontributesnothingtotheerrorgrowthrate,andonlyredistributestheerror.Furthermore,anap-proachtocalculationoftheerrorgrowthratehasbeendeveloped,whichcanalsobeusedtostudythelocalinstabilityoftime-independentbasicstateaswellastime-dependencebasicstate.Thisapproachisappliedtowell-knownLorenz’ssystem,andtheresultsareindicativeofthecorrectnessandsignificanceofthetheoreticalanalyses.
机构地区 不详
出处 《气象学报:英文版》 1994年4期
出版日期 1994年04月14日(中国期刊网平台首次上网日期,不代表论文的发表时间)
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