| Citation: | LI Ziwei, WANG Xuede. Hypersonic nonequilibrium flow region identification and adaptive grid reconfiguration DSMC method[J]. Journal of Aerospace Power, 2025, 40（2）：20230379 doi: 10.13224/j.cnki.jasp.20230379
|
By using the molecular dynamics theory, the calculation formulas for system entropy and entropy production rate were derived to identify non-equilibrium regions in hypersonic rarefied flows. A method for measuring the non-equilibrium state of gases was determined based on the fundamental relationship between entropy production and non-equilibrium phenomena. Due to the limitations of entropy production rate parameters, a gas non-equilibrium measure parameter called the entropy production Knudsen number was proposed, which was combined with the local Knudsen number as a criterion for non-equilibrium states. By integrating two non-equilibrium criteria, a direct simulation Monte Carlo (DSMC) computational method was developed for identifying non-equilibrium regions and performing grid adaptive reconstruction in hypersonic flow fields. Typical non-equilibrium flow fields were simulated, the results showed that the proposed identification parameters can accurately identify non-equilibrium effects throughout the flow field, with an identification rate of over 99%. On the basis of this strategy, the grid in the non-equilibrium region was reconstructed, and the relative errors of the macroscopic flow field quantities were less than 3%, while the relative errors of wall aerodynamic parameters were less than 5%, which demonstrated the effectiveness of adaptive reconstruction method.
| [1] |
黄飞,张亮,程晓丽,等. 连续流失效对近空间飞行器气动特性的影响[J]. 空气动力学学报,2013,31(5): 623-628,640. HUANG Fei,ZHANG Liang,CHENG Xiaoli,et al. Effects of continuum breakdown on aerodynamics of near space vehicle[J]. Acta Aerodynamica Sinica,2013,31(5): 623-628,640. (in Chinese doi: 10.7638/kqdlxxb-2012.0002
HUANG Fei, ZHANG Liang, CHENG Xiaoli, et al. Effects of continuum breakdown on aerodynamics of near space vehicle[J]. Acta Aerodynamica Sinica, 2013, 31(5): 623-628, 640. (in Chinese) doi: 10.7638/kqdlxxb-2012.0002
|
| [2] |
王智慧,鲍麟,童秉纲. 尖化前缘的稀薄气体化学非平衡流动和气动加热相似律研究[J]. 气体物理,2016,1(1): 5-12. WANG Zhihui,BAO Lin,TONG Binggang. Similarity law of aero-heating to sharpened noses in rarefied chemical nonequilibrium flows[J]. Physics of Gases,2016,1(1): 5-12. (in Chinese
WANG Zhihui, BAO Lin, TONG Binggang. Similarity law of aero-heating to sharpened noses in rarefied chemical nonequilibrium flows[J]. Physics of Gases, 2016, 1(1): 5-12. (in Chinese)
|
| [3] |
SCHROCK C,MCMULLAN R,CAMBEROS J. Calculation of entropy generation rates via DSMC with application to continuum/equilibrium onset[R]. AIAA2005-4830,2005.
|
| [4] |
CHIGULLAPALLI S,VENKATTRAMAN A,ALEXEENKO A,et al. Non-equilibrium flow modeling using high-order schemes for the boltzmann model equations[R]. AIAA2008-3929,2008.
|
| [5] |
BIRD G A. Breakdown of translational and rotational equilibrium in gaseous expansions[J]. AIAA Journal,1970,8(11): 1998-2003. doi: 10.2514/3.6037
|
| [6] |
WANG W L,BOYD I. Continuum breakdown in hypersonic viscous flows[R]. AIAA2002-651,2002.
|
| [7] |
BOYD I D,CHEN Gang,CANDLER G V. Predicting failure of the continuum fluid equations in transitional hypersonic flows[J]. Physics of Fluids,1995,7(1): 210-219. doi: 10.1063/1.868720
|
| [8] |
GARCIA A L,BELL J B,CRUTCHFIELD W Y,et al. Adaptive mesh and algorithm refinement using direct simulation Monte Carlo[J]. Journal of Computational Physics,1999,154(1): 134-155. doi: 10.1006/jcph.1999.6305
|
| [9] |
唐振宇,蔡国飙. 两种用于NS-DSMC耦合方法的连续失效参数对比[J]. 北京航空航天大学学报,2014,40(3): 389-393. TANG Zhenyu,CAI Guobiao. Comparison analysis between two continuum breakdown parameters applied in coupled NS-DSMC method[J]. Journal of Beijing University of Aeronautics and Astronautics,2014,40(3): 389-393. (in Chinese
TANG Zhenyu, CAI Guobiao. Comparison analysis between two continuum breakdown parameters applied in coupled NS-DSMC method[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(3): 389-393. (in Chinese)
|
| [10] |
陈杰,赵磊. 高超声速流存在局部稀薄效应的一个判据及相应的流动特性[J]. 空气动力学学报,2018,36(1): 4-11. CHEN Jie,ZHAO Lei. A criteron for the existence of local rarefaction effect in a hypersonic flow field and the corresponding flow characteristics[J]. Acta Aerodynamica Sinica,2018,36(1): 4-11. (in Chinese doi: 10.7638/kqdlxxb-2017.0179
CHEN Jie, ZHAO Lei. A criteron for the existence of local rarefaction effect in a hypersonic flow field and the corresponding flow characteristics[J]. Acta Aerodynamica Sinica, 2018, 36(1): 4-11. (in Chinese) doi: 10.7638/kqdlxxb-2017.0179
|
| [11] |
CAMBEROS J,CHEN Poheng. Continuum breakdown parameter based on entropy generation rates[R]. AIAA2003-157,2003.
|
| [12] |
SCHROCK C,MCMULLAN R,CAMBEROS J. Continuum onset parameter based on entropy gradients using boltzmann’s H-theorem[R]. AIAA2005-967,2005.
|
| [13] |
EJTEHADI O,ESFAHANI J A,ROOHI E. Compressibility and rarefaction effects on entropy and entropy generationin micro/nano Couette flow using DSMC[J]. Journal of Physics: Conference Series,2012,362: 012008. doi: 10.1088/1742-6596/362/1/012008
|
| [14] |
CAMBEROS J. The production of entropy in relation to numerical error in compressible viscous fluid flow[R]. AIAA2000-2333,2000.
|
| [15] |
CAMBEROS J,SCHROCK C,MCMULLAN R,et al. Development of continuum onset criteria with direct simulation monte-carlo using boltzmann’s H-theorem: review and vision[R]. AIAA2006-2942,2006.
|
| [16] |
CARR R,BRANAM R,CAMBEROS J. Quantifying Non-Equilibrium using Entropy Generation[R]. AIAA2007-1127,2007.
|
| [17] |
BLAZEK J. Spatial discretisation[M]//Computational fluid dynamics: principles and applications. Amsterdam,Netherlands: Elsevier,2001: 129-179.
|
| [18] |
MOSS J,BIRD G. DSMC simulations of hypersonic flows with shock interactions and validation with experiments[J]. Portland,US: AIAA 37th Thermophysics Conference,2004.
|
| [19] |
谢东. 高超声速火星大气反应流场的DSMC方法研究及应用[D]. 南京: 南京理工大学,2023. XIE Dong. Research and application of DSMC method for hypersonic Mars atmospheric reaction flow field[D]. Nanjing: Nanjing University of Science and Technology,2023. (in Chinese
XIE Dong. Research and application of DSMC method for hypersonic Mars atmospheric reaction flow field[D]. Nanjing: Nanjing University of Science and Technology, 2023. (in Chinese)
|
DownLoad:
