带激波的一维非定常两相流动的数值模拟
Numerical Simulation of 1-D Unsteady Two-Phase Flows with Shocks
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摘要: 本文将处理带激波的单相气体非定常流动问题的两种高分辨数值方法(随机取样法和二阶GRP有限差分法)推广应用于气固悬浮体(亦称含灰气体)两相情况,计算了含灰气体激波管中两相激波特性、波后流场结构及气固两相流动参数随时间的变化.数值结果表明:这两种方法均能给出带有尖锐间断阵面的两相激波松弛结构.二阶GRP方法在计算精度和机时耗用等方面优于随机取样法.Abstract: In the present paper, random-choice method (RCM) and second-order GRP difference method, which are high resolution methods used for pure gas flows with shocks, are extended and employed to study the problem of one-dimensional unsteady two-phase flows. The two-phase shock wave and the flow field behind it in a dusty gas shock tube are calculated and the time-dependent change of the flow parameters for the gas and particle phase are obtained. The numerical results indicate that both the two methods can give the relaxation structure of the two-phase shocks with a sharp discontinuous front and that the GRP method has the advantages of less time-consuming and higher accuracy over the RCM method.
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Key words:
- two-phase flow /
- shock wave /
- relaxation structure /
- numerical simulation
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[1] Garrier,G.F.,Shock wave in a dusty,J.Fluid Mech.,4(1958),376. [2] Kriebel,A.R.,Analysis of normal shock waves in particle laden gas,Trans.Am.Soc.Mech.Engrs,J.Bas.Eng.,86(1964),655. [3] Rudinger,G.,Some properties of shock relaxation in gas flow carrying small particles,Physics Fluids,1(1964),658. [4] Otterman,B.and A.S.Levine,Analysis of gas-solid particle flows in shock tubes,AIAA J.,12(1974),579. [5] Outa,E.,K.Tajima and H.Morii,Experiments and analyses on shock waves propagating through a gas-particle mixture,Bull.J.S.M.E.,19(1976),384. [6] Marconi,F.,S.Rudman and V.Calia,Numerical study of one-dimensional unsteady particle-laden flows with shocks,AIAA J.,19(1981),1294. [7] Miura,H.and I.I.Glass,On a dusty-gas shock tube,Proc,R.Soc.Lond.,A328 (1982),373. [8] Sommerfeld.M.,M.Seizer and H.Grönig,Shock wave reflection in dusty-gass,Proc.15th int.Syrup.on Shock Tubes and Shock Waves(1985),683. [9] Ben-Artzi,M.and J.Falcovitz,An upwind second-order scheme for compressible duct flows,SIAM J.,Sci,Stat.Comput.,7(1986),744． -
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