26 确定声速c c(t 2 y+1 由此可得“,P,p的计算公式为 )=P1 1-5-25 p 3.出现真空区时 左右稀疏波波后压力p=0,密度R1=R=0,且波后速度 U已没有意义,因此式(1-5-21)和(}-5-24)中稀疏波波尾速 度计算公式不再成立,需改写为 z¥ (1-5-26) Zi=u 而稀疏波区域内的流动参数计算方法不变 参考文 Mueller t J and (/ learv R A Physical and Vumerira! Experiments Laminar incompressible Separating and Reattaching Flow. Los Ange les California 2 Moin P and Kirn J The Strurture t>i the Vorticity Field in Turbuient relations. Journal of Fluid Mechanics, No, 155 1985,441-10i4 3Kmm」 nnd Mein P.Tl of the Vorticity Field in Tur nt Channe: Flow Part I tv f Ensemble-Averaged Fiends lour of Fiu: Mechanics. No, 162
on the Navier-Stokes Computer. AIAA Paper 87--10andTurbutence d Krist s f and Zany T A. Simulations of Transition 5 ourant R, Friedric hs K O anc Lewy E]. On the Partia Difference quations of Mathematical Physics !B Journal. arch. 1967, 215-234 6 RicEttmver R D and Morton K w. Difference Methods for Initial-value Problems. Interscience. New York, 1967 moaHML1H A Ob oHOM MeTone yHCeHHorO pemeNHH HCROTOpHx 3正aqa3p了 HaMNET.IpyxⅠ Ceco3. MareN CBe3na夏.1956.M.红3x ■ D AH CCCP.3958:447~45 The Supersonic blunt body probl nsjcn Journal Aerospace Sci. 25(1958).8.485-496 9 TeneUr TΦ B THHRROB T∏. Fcc-emoBaHHe CRepx Rv RoBoro C6ex CenN B a T Hc:1,工 AH CCCP,t:64.159(1);39~42 I0 Murman E M and Cole Calculation of Plane Steady Transonic Flows. AlAA J. January 197I.9(1),114-12 1 Jameson A. Numerial Caculation of the three Dimensional Transonic Flow Over iL Yawe Proccedings alAA Computational Fluid Dya- amics Conference. Palm Springs, CA. Jrly,1973 12 Jameson A. Transonic Flow Calcu ation. MAE Report 16:1. Dept of Me- chanical and Aerospace Engineerirg Princeton University 13 Gary Numerica! Computation of hydrodynamic Flow Which Contai a Shock Courant institute of Mathematical Sciences Report NYU 9603 14 Jameson A Schridi w ard Tukel f. Numerical Solutions of the euler equations by finite vn]z: me metheds using Urge -Kutta time-stenpine Sc hemes \ :AA Pane. N). R11239 198 15李松液.一阶拟线性混合型宁程及初饩忖的数解法和具有脱体微被绕流 算.全国计算数学会议上的极告,19F3 16庄H。高玉文科用积分关系式方決求解钝超声速镋流北京空气动力学 研转术报专,1363 17傅鹴x、纪牲群和杨振生,超音速舛休绕流製伉计算航空学报,No.2, 18李擦良,张锡成,居绍一等理想流紀合体小攻角气动力的数值方法气动力 学刊,Vol1,No11979 19紀毵群,头饨锥的龃产诬无粘流数值计算方汏<气砒力学学报>No.1, 2∩紀整理有内神浞的帆音遠尢粘绕流数值计算法.航空学报,No.2.1980 21朱幼、钟锡昌、陈炳木等初过值问題差分方法及绕流.科学出版杜,1980. 22大相,震荣酽汴绕流的非定常差分法.宁航出販社,1981
28 23 Nang 1(. Pseudo-Unsteady Difference Scheme for Disc entin:ous So- Iutions of Stead State Onc-Dimensiona1 Fluid DynaMics Equatins. J ompt.Phys.198)(12):195~2:1 24马延文.人工不定常方法求解一维 Navier- Stokes方程.计算数学,198f2) z5 Moretti G. Three Dimensional Supersonic Steady Flows with sitio Number of Imbedded Shocks. AIAA Paper No.74--101974 26 Lax P d and Wendroff B. )ifference Schemes for Hyperbolic Equation With High Order of accuracy. Comm. Pure Appl. Math. 1964(17): 381- 39 27 Le Roux A Y. A Numerical Conception of entropy for quasilinear equations. Math Comp.1979.31,848-872 28 Steger J and Warming R F. Flux Vector Splitting of the Inviscid Gasdynamics equations with application to Finite Difference Methods NASA TMD-78605,1979 29傅德薰,马延文“气动计算中一个单有效的差分格式”<空气动力学学报》, 1985(2) 3马延文,傅德燕.“数值计算可压绵 Mayer- stokes方程的一个新的系数矩阵分 裂法”,计算物理,1985(2 81 Garten A On a elass o: High Resolution T tai-Variation-Stable Finite- Difference Schemes. NYU Report, Oct. 1982 34 Roe P L. Some Contributions to the Modeling of Discontinuous Flows AMS-SIAM Seminar San Diego, June 1983 33 Van Leer B. Towards the Uitimate Conservative Difference Scheme I Journal of Computational Physics, 1974 14: 363-389 34 Osher S Shock Modeling in transonic and Supersonic Flow. Receat Adra nces in Numerical Methods in Fltids. Vol. 4. w.G. Habashi Ed 35 Yee H C, Warming R F and Hartert A Implic it Total Variatino Dimi n ishing (TVD) Schemes for Steaty-state Calculations AlAA Paper 1902,1983 36 Harten A and Hyman J M. A Self-Adjusting Grid for the Computation of weak Solutions of Hy perbolic Conse-visticn Laws. L(s Alamos Nat Lab Report 1.A.9105,1981 37 Yee H C. Construction of Explicit and Im plicit Symmetric TVD Sche- mes and Their Applications. Journal of Comp. Phys. 1987 631 151-179 38 Mu Yanwen and Fu Derun. Numerical Solutions of Compressible Flow with Compact Sc: herne. AIAA Paper No. 87--1123,1987 89 Zhang Han-Xin and: Zhuang Feng-Gan. On Noo-Oscillatory and Parame- ter-Free Finite Difference Scheme and its Applicatior to Numerica] Sow on Computational Fluid Dynarnics, Nagoya lapon, 1989
29 40 Wu 1 namo. New A,curate High resolution TyD She:ysis ard Appl ications Internationa, Symposium on Computational Fluid Dyna mic. Nagoya Japan, 1989 41 Harten A. On High-Order Aecurate Interpolation tor Non-Osciltatery sho: k-Captur ng Schemes. The [Ma Volumes in Mathematics an A pplications Springer-Verlag 1986, 2:71-106 42 Roe P L Approximate Riemann Solvers Parameter Vector and Difference Schemes, Journal of Compt. Physics. 1981, 43:357-372 43 Harten A and Osher S Uniformly High-Order Accurate nonoscillatory Schetries 1 SIAM J. Nun Anal. 1987, 24(2),279-309 44 Harten A, Osher S, Engquist B and Chakravarthy SR. Some Resu on Uniformly High Order Accurate Essentiaily Non-oscillatory Schemes ICASE Report 86-18, Mar 1986 45 Lom hard C K, Oliger J, Yand J Y. and Dayy w C. Conservative Supra-Charactcristics Method for Splitting the Ilyperbolic System, of Gasdyna mics Equa ions With: Computed Boundaries for Real and perfect Cases. ALAA Paper No,82-0873,1982 46 Yatg J Y and Lombard C K. Uniformly Second Order accurate ENO Schemes for the fuler Quations of Gas dynamics. AlAA Paper No8 116,1987 17 Zhuang F G aud Zhang X H. On a Marching [terative Method in So- lving Gas Dynamic Equations. Lecture Notes in Physics, 10th internatio- nai Conference on Nnmerical Methods in Fluid dynarnics 48 Chorin A J A Numericat Method tor Solving Incompressible Viscous Flow Problem. Jou nal Comp Phys. 1967 2t: 49 MacCormack and Baldwin B urnerica. Method for solving the Nav ier-Stokes Equations with application to shock boundary iayet interactions. AIAA Paper No73-1,1975 50 Bald win B S and lomax ( Thin Layer Approxination and Algcbraic Model fcr Separated Flow. AlAA Paper No. 78-257,1978 51 Rizzi A and Engquist B. Selected Topics in the Theory and Prac:i'o) Computationa! Fluid Dynamics, J of Computational Physics 1987,.2x 52博德熊.活超速平板酡·F魏牝穹学报,1983(4) 53赙亡.英文婿音速缩折绀层流分髙流徼值酈全卧计算数学宀长小汉 5滹灬,条阼及塔分方曌的值解.第二届全国计氰流体力学方法会设 ,19S 65〕岄,滹襟,龍音絲流计算中颂釣仲的几个问魉.箅一命國计算流 小学方匹仪论义柒,j981
30 56高树静、厦钢民深凹隋外形分离流场的数值亡算它气动力学学报,1984 (4) 57 Launay J A n IHpnIull, E M. MexaRHKu CIOUIMOR Cpe 28 IoeTexH- 3mat MocKBa. 1954 58李德元,徐国荣,水鹑寿等.二维非定常流体力学数值方法北京;科学出版 杜,1987 59 Fu Dexun and Ma Yanwen Diffusion Analcgy and Shoc k Capturing for Solving tie Aerodynamic Equations. Proceedings of 4 th Inter national Symposium on Computational Fluid Dynamics. Davis. 199 60黄敦,陈证裯,构造总变差不增格式的惡路和岩下数学论证北京计算流体 力学讨论会文集,1989