Extension and improvement for schemes in hypersonic thermal and chemical non-equilibrium flows
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摘要: 扩展、改进和分析了ROE,MAPS,LDFSS,HLLC,HCUSP和ECUSP 6种高分辨率空间格式于热化学非平衡流的计算中.采用5组分17反应的Dunn-Kang化学反应模型和Park的双温模型计算了三维球头算例,得到如下结论:ROE和MAPS格式精度高于LDFSS,HLLC和CUSP类格式;基于ROE平均的界面音速可提高格式的鲁棒性及斜激波捕捉能力,同时对流场参量的计算无影响;ROE平均音速的引用改进了MAPS和ECUSP格式.为热化学非平衡流场计算格式的选择提供了参考.Abstract: Six high accuracy schemes (ROE, MAPS, LDFSS, HLLC, HCUSP and ECUSP) were successfully extended from ideal gas model to thermal and chemical non-equilibrium gas model. All the schemes were analyzed in detail. Some of them were improved by ROE averaging numerical speed. Five species seventeen reactions Dunn-Kang chemical reaction model and Park-s two-temperature kinetic model were used to compute three-dimensional sphere test. The results show that in thermal and chemical non-equilibrium flow, the ROE and MAPS schemes have higher accuracy than LDFSS, HLLC and CUSP type schemes. The numerical speed given by ROE averaging can obviously strengthen the robustness of scheme, and improve oblique shock capturing capability, while the physical variables in flow field will be not influenced. The MAPS and ECUSP schemes are improved successfully by using the numerical speed given by ROE averaging. The reference to choose schemes has been provided.
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Key words:
- high temperature effects /
- scheme /
- hypersonic flow /
- computational fluid dynamics
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[1] Cheatwood F M.User-s manual for the Langley aerothermodynamic upwind relaxation algorithm(LAURA) .NASA-TM-4674,1996 [2] Ntterfield M P.Validation of a Navier-Stokes code for thermochemical non-equilibrium flows .AIAA 92-2878,1992 [3] 阎超.计算流体力学方法及应用 [M].北京:北京航空航天大学出版社,2006:64-66 Yan Chao.Computational fluid dynamics method and application[M].Beijing:Beijing University of Aeronautics and Astronautics Press,2006:64-66(in Chinese) [4] 张静,阎超.高超音速双锥绕流数值模拟的格式效应分析[J].北京航空航天大学学报,2008,34(4):474-477 Zhang Jing,Yan Chao.Scheme effect analysis of numerical simulation on hypersonic double-cone flows[J].Journal of Beijing University of Aeronautics and Astronautics,2008,34(4):474-477(in Chinese) [5] Edwards J R.A low-diffusion flux-splitting scheme for Navier-Stokes calculations [J].Computers & Fluids,1997,26(6):635-659 [6] Batten P.On the choice of wavespeeds for the HLLC Riemann solver[J].Siam J Sci Comput,1997,18(6):1553-1570 [7] Chima R V,Liou M S.Comparison of the AUSM+ and H-CUSP schemes for turbomachinery application .AIAA 2003-4120,2003 [8] Zha G C.Calculation of transonic flows using WENO method with a low diffusion E-CUSP upwind scheme .AIAA 2008-0745,2008 [9] Rossow C C.A flux-splitting scheme for compressible and incompressible flows[J].J Comput Phys,2000,164(1):104-122 [10] Park C.Nonequilibrium hypersonic aerothermodynamics[M].New York:John Wiley & Sons,1990:112-115 [11] Roe P L.Approximate Riemann solvers parameter vectors and difference schemes[J].J Comput Phys,1981,43(2):357-372 [12] Gnoffo P A.A code calibration program in support of the aeroassist flight experiment .AIAA 89-1673,1989 [13] Zhou Yu,Yan Chao,Kang Honglin.Numerical dissipation effect analysis of upwind schemes .AIAA 2008-759,2008 -
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