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i1F-16Su-2723OpenGLVisualC++PCOpenGLiiAbstractThispaperusesnumericalanalysismethodstosimulatetwofightersfightingintheairbycomputerandresearchesalltheproblemsatdifferentposturesofthefighterswhenfighting.Themathematicalmodelingispreliminarilyresearchedanddesignedduringtheairactionemulationoftwofighters.Asortofdescriptionmeanswhichisfoundismorerealisticforthesimplifiedmodelingofthefighters.Aircombatlawsareresearchedbyputtingstressontheaircombatofthefighters.Decision-makingmodelingofthemaneuverfightingarebuiltaccordingtotheelementarymaneuvermodeoftheairaction.Atypeofimplementationmethodoftheairactionemulationvisualizingsystemisgiveninthispaper.Mainresearchcontentsareasfollow:1.UsingCADmethodstogivetheaero3-dimensionalshapesofF16andSu-27andusingcommercialaerodynamicnumericalanalysissoftwaretocomputetheiraerodynamicperformances.2.Linearizingthefundamentalmotionequationsofthefightersandthenestablishingthestateequations.Usingnonlinearcontrolsystemtocontroltherudderdeflexions,andgivingdecision-makingmodelingofthemaneuverfightingaccordingtothecurrentcombatposturesoftheenemy'sandourfighters.3.Implementingthe3-dvisualsystemofaircombatsimulationwiththehelpofthecomputerbyusingnewtechnologies,suchasOpenGL,VisualC++andOOP.Theproceduresoffightingcanbedisplayedintuitively.Atthesametime,theflighttracksofsimulationcanberecordedandanalyzed,whichhelpstoanalyzeandevaluatetheperformancesofthecurrentfightersinservicequalitativelyandquantitatively.Keywords:Flightdynamics;Equationofmotion;Airactionemulation;OpenGL,()11.1F-16SU-27,1.2F-16SU-27F-16Su-271.2.1[23]••••F-16⋅2NACA64A2044%403.0522590185.7-827.758.75-14.5A/B•F100-PW-200105.9C/D•F100-PW-220111.2F110-GE-100122.31991129F100-PW-229F110-GE-1295398911391400ACESΠ303601954015520710×161/36010Su-27YaK-28P,Su-15Tu-28P/128/F-16F-15426%3%-4%+16/-201106802609.3510130035012.251015.7*5102/AL-31F77122.6117756600K-36MD-43275510+9g303541.2.2F-16Su-2715.03m21.91m5.09m5.93m9.45m14.70m40423.23.4927.8762.02.36m4.36m7.53m9.0m913.17m429.013.85g4.63g97388N225278N98m/s148m/s1.8751.7670.02390.01898433kg16380kg10812kg23000kg19187kg33000kg5633kg9400kg51.31.3.1CAGDComputerAidedGeometricDesignCAGDFergusonMITCoonsBezierBBB1.3.2(CFD)CFDCFDCFDCFDMGAERO(forMultiGridAEROdynamics)CFDMGAEROMGAERO61234567891.3.3(DIS)1237(UAV)1.41F-16Su-272384MicrosoftVisualC++MFCOpenGLPC92.1F-16Su-27F-16NACA64A204Su-27HMaαaδrδeδDLC1212DDCVSρ=(2-1)ρVSDC(,Re,,,,,,)DDeraCCMaαβδδδ=(2-2)MaReαβeδrδaδ220DDeCCAAαδαδ=++(2-3)2212CCCVSρ=(2-4)CC10(,,)CCrCCMaβδ=(2-5)CCCrrCCCβδβδ=+(2-6)3212LLCVSρ=(2-7)LC(,,)LLeCCMaαδ=(2-8)0LLLLeeCCCCαδαδ=++(2-9).xaerM.yaerM.zaerM1.xaerM2.12xaerlMCVSbρ=(2-10)blC(,,,,,,,)llraxbzbCCMaαβδδωω=(2-11)xbωzbω(/2)(/2)lllaalrrlxbxblzbzbCCCCCbVCbVβδδωωβδδωω=++++(2-12)2.yaerM2.12yaermAMCVScρ=(2-13)11AcmC(,,,,,)mmeyCCMaαδωα=(2-14)yωα0(/2)(/2)mmmmeemybybAmACCCCCcVCcVαδωααδωα=++++(2-15)3.zaerM2.12zaernMCVSbρ=(2-16)nC(,,,,,,,)nnraxzCCMaαβδδωω=(2-17)(/2)(/2)nnnaanrrnxbxbnzbzbCCCCCbVCbVβδδωωβδδωω=++++(2-18)[3]2.2F-16Su-27[24]()F-16Su-2712BCOONSNURBS2.2.1F-16Su-27BBBBB1[24][25]nnxxxx−110],[0nxx)(xy1)iiyxy=)(),,1,0(ni=2))(xy],[0nxx3)],[1iixx−),,2,1(ni=)(xyx],[1iixx−1−iyiy1−imimiiiiihxxxxxxu111−−−−=−−=(2-19)1−−=iiixxh),,2,1(ni=ixxuhydudxyy'''==(2-20)],[1iixx−[]−−−−=−−iiiiiiimhmhyyuuuxy113211221233010000011)((2-21)ni,,2,1=13(2-20))(xy)('xy],[0nxxiiiiiicmmm=+++−112µλ)1,,2,1(−=ni(2-22)11+++=iiiihhhλiiλµ−=1−+−=++−1113iiiiiiiiihyyhyycµλ),(iiyxim(2-22)nmmm,,,10⋅⋅⋅1+n1−n0mnm1−n1−n))(()())(()())(()2(12021022101201201021000xxxxxxyxxxxxxyxxxxxxxym−−−+−−−+−−−−=(2-23)))(()2())(()())(()(12211212121212−−−−−−−−−−−−−−−−−−+−−−+−−−=nnnnnnnnnnnnnnnnnnnnnnnxxxxxxxyxxxxxxyxxxxxxym(2-24)2B[24]BBBBB14=−−+−−=≤=−++++++−++000)()()(,0,1)(1,11111,,10,uNuuuuuNuuuuuNuuuuNkiikikikiikiikiiii(2-25))(,uNkiikB)(3,uNiB[][][])10(11331036303030141!311)(),(),(),(32323,33,23,13,0≤≤=−−−−=tMtttttttNtNtNtNB(2-26)iuuutt−==)(,],[1+∈iiuuu,nkki,,1,+=1+nBnVVV,,,102−nBi[])3,1,0,10()(),(),(),()(3213,33,23,13,0−=≤≤=+++nitVVVVtNtNtNtNtpiiiii(2-27)}{iVB{}iPB{}iP{}iVBBB15)1(+n{}),...1,0(niPi={}()1,...,1,1+−=niVi(2.8)),...,1,0()4(6111niPVVViiii==+++−(2-28)(2-23)(2-24)''0nPP=−=−−+−'11'01)(21)(21nnniPVVPVV(2-29)(2-10)(2-11)2.1F-16162.2F-162.3Su-27172.4Su-272.2.2F-16Su-272.22.4F-16Su-27(1)F-16F-16NACA64A204Su-27F-15F15NACA64A203182.5F-162.6F-162.7F-1619(2)Su-272.8Su-272.9Su-272.3F-16Su-27AMIMGAEROMGAEROforMultiGridAEROdynamicsAMIMGAEROMGAEROMGAERO2.3.1.MGAEROMGAERO20MGAEROfile.PINMGPREPP01~P12file.SINMGSOLVE2.10MGAEROMGAERO2.3.2MGAEROfile.PIN1.BASICDATA212.GEOMETRYDATAMGAEROY,Z2.112.11MGAEROMGAEROBODY,WING,PYLONENCLOSUREBODYXXWING,PYLONY,ZY,ZENCLOSUREX,Y,ZENCLOSURE3GRIDDATA22MGAERO101201402X,Y,ZPOINTSORIGINLENGTHXfile.PINMGPREPfile2.3.3MGAEROfile1.SIN,CONTROLDATACYCLEDATAANALYSISDATACONTROLDATAMGSOLVEfile1file1filefile1.PLOT23P-WN-SN-S2.10NS2.3.4F-16Su-27800Km/h340/1.46310-6Re=1.59561062.1F-16Su-27Navier-StokesN-SN-SΦ∇=V/P-W2.12241MA0100002MA02000-53MA03000-104MA0400055MA0500506MA0600-507MA07001008MA0800-1