20043486JohnB.Bdzil,TariqD.Aslam,RudolphHenninger,andJamesJ.Quirk1Zeldovich-vonNeumann-Doring(ZND)8,000m/s35MJ/kg2,000kg/m380,000,000MJ/m2s8109W/cm2100cm2Champman-Jouguet(CJ)200434871DCJPCJ(Pv)EOSCJEg(P,v)21ZND(a)(t=t0)(t=t1)(t=t2)(t=t3)(b)t=t1t=t3ZNDZNDCJCJ(c)(b)-567ZND320043488(ASCI)(DSD)2CJEg(P,v)EgPvPs(v)PH(v)DCJPCJCJPSCJ(v)PSCJ(v)HMX90%Eg(P,v)Eg(P,v)3CCJ200434892,000K4,000K90%3CCJCJCJ1L1L2200434901L2,AlfredNobelLANLHMX(CampbellandTravis1985)4(a)PBX9501(b)(c)PBX950120043491HMXHMXHMXPBX9501HMX503,000K(McGraneetal.2003)4(a)PBX95014(b)4(c)0.0111051010102004349260205(a)10B(b)Lup10106020(Sheffieldetal.1998)6PBX950213.5GPaABCZND200434936PBX950213.5GPa10ZND1DSDDSDASCI0)(=⋅∇+∂∂utρρ(1)0)(=+⋅∇+∂∂IPuutuρρ(2)()[]0=+⋅∇+∂∂uPeteρρ(3)IuP1−=vρ2/uuEe⋅+=EEE(P,v)Chapman-JouguetEg(Pg,vg)gEg(Pg,vg)Es(Ps,vs)Mie-Gruneisen6P=Ps=Pg20043494),(),()1(),,(ggssvPEvPEvPEλλλ+−=(4)gsvvλλρ+−=)1(/1(5)(1)(5)T=Ts=Tgvsvg),,(λλλvPRut=∇⋅+∂∂(6)R(P,v,λ)6Lee-Tarver(TarverandMcGuire2002)(6)Jones-Wilkins-Lee(i=s)(i=g)()(){}ViRBVRAPCVTiiiiiViii21expexp−−−−=ωiiVρρ/0=ωiCViAiBiR2iTTeTePPPPP=⎟⎟⎠⎞⎜⎜⎝⎛∂∂⎟⎟⎠⎞⎜⎜⎝⎛∂∂+⎟⎟⎠⎞⎜⎜⎝⎛∂∂⎪⎭⎪⎬⎫⎪⎩⎪⎨⎧⎟⎟⎠⎞⎜⎜⎝⎛∂∂−ρρρρρρ22()()()()()()()332111.0217111/11,,PHGPHGaVIHvpRλλλλλλλλλλλ−−+−+−−−−=∗∗∗01λ=0λ=1()λλ−∗iHIaG1G2∗iλ2004349576PBX9502Lee-Tarver1,000RensselaerPolitechnicAshwaniKapilaLee-Tarver6PBX9502(1)(6)1,0007PBX95028(a)Ai=Bi=0ωs=ωg=2()()µλλ−=1,,nkPvpR(7)20043496kµµ=1/2PBX9502AmritaAmrita(GhostFluid)Lax-Friedrichs8(b)8(c)R(7)n=2n=3ZNDn=27218n=3189n=3Short(2003)ZNDn2.16759(3)n=2n=210m/sZND501010100ZND200434978(a)(b)(c)(7)n=2n=3µ=1/2n=27218n=3189n=320043498DSDDSDDSD(1)(2)-(P-v)10L10ηξηξε1/=LrzηεηrzDSDZNDηrzκ1)(0=εκηrzDnDCJ()DDDD~1/CJnε==−9RZNDµ=1/2n2.1675ZND2004349910DSDLDSDDSD1)(/=εηOLrzε1(1)(3)(6)φεφξεξε~,~,~2/12/1===tt(8)10()TPuYηρ,=L+++=)2(2)1()0(YYYYεε(9)L+=2/323ξξεuu(10)0ZNDεκDL+∂∂−+=22)()()(ξκDDtDDBDDADF(11)200434100)(DFD)(DF0)(DA0)(DB0(1)κ(2))/)((DtDDDA(3)22)(ξ∂∂D/DB(11)2422)2/(/)2/(ABAABκκκω−±−=i(12)κ11κ(11)(8)(11)(11))(DF)(DA)(DB(11)10φ10φc(11)φc10φφs45o(AslamandBdzil2002,Bdzil1981)DSDDSD(7)DSD(1)(3)(6)(7)n2.1675DSD(Aslam1998)Lee-Tarver(11)20043410111PBX9502(11))(DF=κ(13)PBX95021213(a)DSDPBX950213(b)DSDCJDSD13DSDLevel-setLevel-setLevel-setψ0=Ψ∇+∂Ψ∂nDt(14)ψ=0ψ=0Level-set2002Level-set14PBX9502(t=t3)(t=t4)Level-setDSDCJ1112PBX950225DSDDSDκDn200434102(a)DSDDSDDSDDSD(b)DSDCJDSD10%CJDSDCJDSD14DSDDSDDSDCJ13DSDPBX9502200434103(1)(6)4(1)(6)(1)(3)JohnB.Bdzil1969John1972LANL2001JohnScottStewartJohnLANLJohnJohnASCILANLRudolphHenningerTariqAslamJohnBdzilJamesQuirk