2023年B题优秀论文.pdf

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Team#apmcm2307379

TeamNumber:apmcm2307379

ProblemChosen:B

2023APMCMsummarysheet

Inthisstudy,withtheaimtooptimizethetemperatureandwindspeeddistribution

inaglassgreenhousetopromotecropgrowth,weaddressedfourkeyissuesstepbystep.

Tosolvethefirstproblem,webuiltmathematicalequationsundercrop-freecondi-

tions,basedonthefundamentalphysicalprinciples,withPythonandacomputational

fluiddynamicssoftware(CFD),ANSYSFluent.Thetemperatureandwindspeeddistri-

butionat0.5mwasfurthervalidatedbythenumericalsimulationresultsfromANSYS

Fluent,withanindicator(肀?showingtheoverlappinginterval,achieving89.84%and

93.75%respectively.

Forproblemtwo,weimprovedthecurrentmodelbyaddingaporousmediaregion

representingcrops.Theconsiderationonitsporosityandpermeabilityensuredus

theeffectivenessof肀morethan89%insimulatingthetemperatureandwindspeed

distributionatspecificheights(0.5mand0.1m)inthegreenhouse,comparedwith

resultsfromtheCFDsoftware.Aninitialclaimontheunsuitableconditionsforcrops

growthwasmade.

Fortwoscenariosinproblemthree,weadjustedtherelevantparametersviathe

twomethods,simulatingtheeffectofindividuallychangedfanparameteronthetwo

targetfields.Comparedtoresultsinproblemtwo,wedeductedthatincreasingvelocity

incanopywouldachievewarmerlivingconditionsinthecanopy,onthecontrary,lower

positionofthefansbenefitsrootsforbetteruniformity.

Inordertosolveproblemfour,weappliedgeneticalgorithmtooptimizethenumber,

location,speedandtemperatureindesigningfans.Withthelengthmagnification,the

constrainsonnumberandlocationsofthefansandtheconvergenceguaranteedby

theMarkovChain,wecouldobtainre

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