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燃烧系统的离散Boltzmann建模与模拟研究进展

许爱国 张广财 应阳君

燃烧系统的离散Boltzmann建模与模拟研究进展

许爱国, 张广财, 应阳君
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  • 燃烧系统的诸多模拟依托于流体建模, 离散Boltzmann方法(discrete Boltzmann method, DBM) 是近年来发展起来的一种新的流体介观建模方法. 本文简要评述DBM发展的两个方向Navier-Stokes等偏微分方程的数值逼近解法和复杂系统的微介观动理学建模. 主要介绍在燃烧系统模拟方面DBM已有的工作、新近的思路、与传统流体建模的异同以及近期的研究成果. 本文重点传递的信息为: 作为复杂系统微介观动理学建模出现的DBM在模拟过程中同时给出流动及其相伴随的、关系最密切的那部分热动非平衡效应; 它为燃烧等复杂系统中各类非平衡行为的描述、非平衡信息的提取、非平衡程度的度量提供了一种简洁、有效的方法; 它所提供的热动非平衡测量量有两类: 一类是直接比较分布函数和平衡态分布函数的动理学矩关系得到的, 一类是来自于Chapman-Enskog多尺度分析给出的热传导和黏性项. 基于第二类DBM, 可以实现(燃烧等)一大类复杂流体系统的多尺度物理建模.
      通信作者: 许爱国, Xu_Aiguo@iapcm.ac.cn
    • 基金项目: 计算物理重点实验室基金、国家自然科学基金(批准号: 11475028, 11202003)、理论物理国家重点实验室(中国科学院理论物理研究所)开放课题(批准号: Y4KF151CJ1)和爆炸科学与技术国家重点实验室(北京理工大学)开放课题(批准号: KFJJ14-1M)资助的课题.
    [1]

    Ju Y 2014 Adv. Mech. 44 201402

    [2]

    Chu S, Majumdar A 2012 Nature 488 294

    [3]

    Jangsawang W, Fungtammasan B, Kerdsuwan S 2005 Energ. Convers. Manage. 46 3137

    [4]

    Schott G L 1965 Phys. Fluids 8 850

    [5]

    Bykovskii F A, Zhdan S A, Vedernikov E F 2006 Journal of Propulsion and Power 22 1204

    [6]

    Ju Y, Maruta K 2011 Progress in Energy and Combustion Science 37 669

    [7]

    Fernandez-Pello A C 2002 Proceedings of the Combustion Institute 29 883

    [8]

    Sabourin J L, Dabbs D M, Yetter R A, Dryer F L, Aksay I A 2009 ACS Nano 3 3945

    [9]

    Ohkura Y, Rao P M, Zheng X 2011 Combust. Flame 158 2544

    [10]

    Dec J E 2009 Proc. Combust. Inst. 32 2727

    [11]

    Starikovskiy A, Aleksandrov N 2012 Progress in Energy and Combustion Science 39 61

    [12]

    Uddi M, Jiang N, Mintusov E, Adamovich I V, Lempert W R 2009 Proceedings of the Combustion Institute 32 929

    [13]

    Sun W, Chen Z, Gou X, Ju Y 2010 Combust. Flame 157 1298

    [14]

    Won S H, Windom B, Jiang B, Ju Y 2014 Combust. Flame 161 475

    [15]

    Ombrello T, Qin X, Ju Y, Gutsol A, Fridman A, Carter C 2006 AIAA Journal 44 142

    [16]

    Sun W, Uddi M, Won S H, Ombrello T, Carter C, Ju Y 2012 Combust. Flame 159 221

    [17]

    Sun W, Ju Y 2013 J Plasma Fusion Res. 89 208

    [18]

    Chapman D L 1899 Philos. Mag. 47 90

    [19]

    Jouguet E J 1905 J. Math. Pures Appl. 1 347

    [20]

    Zeldovich Ya B 1940 J. Exp. Theor. Phys. 10 542

    [21]

    von Neumann J 1942 Theory of Detonation Waves (New York: Macmillan)

    [22]

    Doering W 1943 Ann. Phys. 43 421

    [23]

    Fickett W, Davis W C 2000 Detonation: Theory and Experiment (Mineola, New York: Dover Publications, INC.)

    [24]

    Chen Z 2009 Ph. D Dissertation (Princeton: Princeton University)

    [25]

    Dai P, Chen Z, Chen S, Ju Y 2015 Proc. Combust. Inst. 35 3045

    [26]

    Yu H, Han W, Santner J, Gou X, Sohn C H, Ju Y, Chen Z 2014 Combust. Flame 161 2815

    [27]

    Bai B, Chen Z, Zhang H, Chen S 2013 Combust. Flame 160 2810

    [28]

    Ren Z Y, Lu Z, Hou L Y, Lu L 2014 Sci. China: Phys. Mech. Astron. 57 1495

    [29]

    Huang X F, Li S J, Zhou D H, Zhao G J, Wang G Q, Xu J R 2014 Acta Phys. Sin. 63 178802(in Chinese) [黄雪峰, 李盛姬, 周东辉, 赵冠军, 王关晴, 徐江荣 2014 物理学报 63 178802]

    [30]

    Yang J C, Xia Z X, Hu J X 2013 Acta Phys. Sin. 62 074701(in Chinese) [杨晋朝, 夏智勋, 胡建新 2013 物理学报 62 074701]

    [31]

    Shi Y B, Ying Y J, Li J H 2007 Acta Phys. Sin. 56 6911(in Chinese) [施研博, 应阳君, 李金虹 2007 物理学报 56 6911]

    [32]

    Benzi R, Succi S, Vergassola M 1992 Phys. Reports 222 145

    [33]

    Succi S 2001 The Lattice Boltzmann Equation for Fluid Dynamics and Beyond (New York: Oxford University Press)

    [34]

    Succi S, Karlin I V, Chen H 2002 Rev. Mod. Phys. 74 1203

    [35]

    Chen H, Kandasamy S, Orszag S, Shock R, Succi S, Yakhot V 2003 Science 301 633

    [36]

    Xu A, Zhang G, Gan Y, Chen F, Yu X 2012 Front. Phys. 7 582

    [37]

    Xu A G, Zhang G C, Li Y J, Li H 2014 Prog. Phys. 34 136(in Chinese) [许爱国, 张广财, 李英骏, 李华 2014 物理学进展 34 136]

    [38]

    Guo Z, Shu C 2013 Lattice Boltzmann Method and Its Applications in Engineering (advances in computational fluid dynamics) (Sigapore: World Scientific Publishing Company)

    [39]

    Chen S 2010 Non-equilibrium Statistical Mechanics (Beijing: Scientific Press) (in Chinese) [陈式刚 编著 2010 非平衡统计力学(北京: 科学出版社)]

    [40]

    Shokhov E M 1968 Fluid Dyn. 3 95

    [41]

    Bhatnagar L, Gross E P, Krook M 1954 Phys. Rev. 94 511

    [42]

    Holway Jr L H 1966 Phys. Fluids (1958-1988) 9 1658

    [43]

    Rykov V A 1975 Fluid Dyn. 10 959

    [44]

    Liu G 1990 Phys. Fluids A: Fluid Dyn. (1989-1993) 2 277

    [45]

    Frisch U, Hasslacher B, Pomeau Y 1986 Phys. Rev. Lett. 56 1505

    [46]

    Koelman J 1991 EPL 15 603

    [47]

    Chen S, Chen H, Martinez D, Matthaeus W 1991 Phys. Rev. Lett. 67 3776

    [48]

    Qian Y, d’Humieres D, Lallemand P 1992 EPL 17 479

    [49]

    He X Y, Luo L S 1997 Phys. Rev. E 55 R6333

    [50]

    Nie X B 1988 M.S. Dissertation (Beijing: Graduate School, China Academy of Engineering Physics) (in Chinese) [聂小波 1988 硕士学位论文(北京: 中国工程物理研究院研究生部)]

    [51]

    MeNamara G R, Zanetti G 1988 Phys. Rev. Lett. 61 2332

    [52]

    Higuera F L, Jimenez J 1989 EPL 9 663

    [53]

    He Y L, Wang Y, Li Q 2009 Lattice Boltzmann Method: Theory and Applications (Beijing: Scientific Press) (in Chinese) [何雅玲, 王勇, 李庆 2009 格子Boltzmann 方法的理论及应用 (北京: 科学出版社)]

    [54]

    Yan B 2013 Ph. D. Dissertation (Changchun: Jilin University) (in Chinese) [闫铂 2013 博士学位论文(长春: 吉林大学)]

    [55]

    Gonnella G, Orlandini E, Yeomans J M 1997 Phys. Rev. Lett. 78 1695

    [56]

    Denniston C, Yeomans J M 2001 Phys. Rev. Lett. 87 275505

    [57]

    Toth G, Denniston C, Yeomans Y M 2002 Phys. Rev. Lett. 88 105504

    [58]

    Shan X, Chen H 1993 Phys. Rev. E 47 1815

    [59]

    Chen S, Doolen G D 1998 Annu. Rev. Fluid Mech. 30 329

    [60]

    Kang Q, Zhang D, Chen S, He X 2002 Phys. Rev. E 65 036318

    [61]

    Fang H, Wang Z, Lin Z, Liu M 2002 Phys. Rev. E 65 051925

    [62]

    Dawson S, Chen S, Doolen G D 1993 J. Chem. Phys. 98 1514

    [63]

    Weimar J R, Boon J P 1996 Physica A 224 207

    [64]

    Zhang R, Xu Y, Wen B, Sheng N, Fang H 2014 Sci. Reports 4 5738

    [65]

    Chen S, Martinez D, Mei R 1996 Phys. Fluids 8 2527

    [66]

    Lai H, Ma C 2011 Phys. Rev. E 84 046708

    [67]

    Xu A, Gonnella G, Lamura A 2006 Phys. Rev. E 74 011505

    [68]

    Xu A, Gonnella G, Lamura A, Amati G, Massaioli F 2005 EPL 71 651

    [69]

    Xu A, Gonnella G, Lamura A 2006 Physica A 362 42

    [70]

    Xu A, Gonnella G, Lamura A 2004 Physica A 344 750

    [71]

    Xu A, Gonnella G, Lamura A 2004 Physica A 331 10

    [72]

    Xu A, Gonnella G, Lamura A 2003 Phys. Rev. E 67 056105

    [73]

    Gan Y, Xu A, Zhang G, Li Y 2012 Front. Phys. 7 481

    [74]

    Gan Y, Xu A, Zhang G, Li Y 2012 Commun. Theore. Phys. 57 681

    [75]

    Gan Y, Xu A, Zhang G, Wang J, Yu X, Yang Y 2014 Int. J. Mod. Phys. C 25 1441002

    [76]

    Gan Y, Xu A, Zhang G, Li Y 2011 Phys. Rev. E 83 056704

    [77]

    Gan Y, Xu A, Zhang G, Zhang P, Li Y 2012 EPL 97 44002

    [78]

    Gan Y, Xu A, Zhang G, Li Y, Li Y 2011 Phys. Rev. E 84 046715

    [79]

    Chen F, Xu A, Zhang G, Li Y 2011 Phys. Lett. A 375 2129

    [80]

    Pan X F, Xu A, Zhang G, Jiang S 2007 Int. J. Mod. Phys. C 18 1747

    [81]

    Yan B, Xu A, Zhang G, Ying Y, Li H 2013 Front. Phys. 8 94

    [82]

    Lin C, Xu A, Zhang G, Li Y 2014 Commun. Theor. Phys. 62 737

    [83]

    Xu A, Lin C, Zhang G, Li Y 2015 Phys. Rev. E 91 043306

    [84]

    Xu A, Zhang G, Gan Y 2014 arXiv:1403.3744

    [85]

    Gan Y, Xu A, Zhang G, Succi S 2015 Soft Matter 11 5336

    [86]

    Chen F, Xu A, Zhang G, Wang Y 2014 Front Phys. 9 246

    [87]

    Lin C, Xu A, Zhang G, Li Y, Succi S 2014 Phys. Rev. E 89 013307

    [88]

    Lai H 2015 Postdoctoral Research Report (Beijing: Institute of Applied Physics and Computational Mathematics) (in Chinese) [赖惠林 2015 博士后出站报告(北京: 应用物理与计算数学研究所)]

    [89]

    Lai H, Xu A, Zhang G, Gan Y, Ying Y, Succi S 2015 arXiv:1507.01107

    [90]

    Gan Y B, Xu A G, Zhang G C 2015 Guest Professor Research Report (Beijing: Institute of Applied Physics and Computational Mathematics) (in Chinese) [甘延标, 许爱国, 张广财 2015 Kelvin-Helmholtz不稳定性的离散Boltzmann建模、模拟与非平衡效应研究 (北京: 北京应用物理与计算数学研究所客座研究报告)]

    [91]

    Succi S, Bella G, Papetti F 1997 J. Sci. Comput. 12 395

    [92]

    Filippova O, Hanel D 1998 Int. J. Mod. Phys. C 9 1439

    [93]

    Filippova O, Hanel D 2000 J. Comput. Phys. 158 139

    [94]

    Filippova O, Hanel D 2000 Comput. Phys. Commun. 129 267

    [95]

    Yu H, Luo L, Girimaji S 2002 Int. J. Comput. Eng. Sci. 3 73

    [96]

    Yamamoto K, He X, Doolen G 2002 J. Stat. Phys. 107 367

    [97]

    Yamamoto K 2003 Int. J. Mod. Phys. B 17 197

    [98]

    Yamamoto K, Takada N, Misawa M 2005 Proc. Comb. Inst. 30 1509

    [99]

    Lee T, Lin C, Chen L 2006 J. Comput. Phys. 215 133

    [100]

    Chiavazzo E, Karlin I V, Gorban A N, Boulouchos K 2009 J. Stat. Mech.: Theory and Experiment P06013

    [101]

    Chiavazzo E, Karlin I V, Gorban A N, Boulouchos K 2010 Combust. Flame 157 1833

    [102]

    Chiavazzo E, Karlin IV, Gorban A N, Boulouchos K 2011 Int.J. Numerical Methods for Heat & Fluid Flow 21 494

    [103]

    Chen S, Liu Z, Zhang C, He Z, Tian Z, Shi B, Zheng C 2007 Appl. Math. Comput. 193 266

    [104]

    Chen S, Liu Z, Tian Z, Shi B, Zheng C 2008 Comput. Math. Appl. 55 1424

    [105]

    Chen S, Krafczyk M 2009 Int. J. Therm. Sci. 48 1978

    [106]

    Chen S 2010 Int. J. Hydrogen Energ. 35 1401

    [107]

    Chen S, Li J, Han H, Liu Z, Zheng C 2010 Int. J. Hydrogen Energ. 35 3891

    [108]

    Chen S, Han H, Liu Z, Li J, Zheng C 2010 Int. J. Hydrogen. Energ. 35 4736

    [109]

    Chen S, Zheng C 2011 Int. J. Hydrogen Energ. 36 15403

    [110]

    Chen S, Mi J, Liu H, Zheng C 2012 Int. J. Hydrogen. Energ. 37 5234

    [111]

    Sun J S, Zhu J S 1995 Theoretical Explosion Physics (Beijing: National Defense Industry Press) (in Chinese) [孙锦山, 朱建士 1995 理论爆轰物理(北京: 国防工业出版社)]

    [112]

    Cochran S G, Chan J 1979 Lawrence Livermore National Laboratory Report UCID-18024

    [113]

    Lee E L, Tarver C M 1980 Phys. Fluids 23 2362

    [114]

    Gou X, Sun W, Chen Z, Ju Y 2010 Combust. Flame 157 1111

    [115]

    Pan X, Xu A, Zhang G, Jiang S 2007 Int. J. Mod. Phys. C 18 1747

    [116]

    Gan Y, Xu A, Zhang G, Yu X, Li Y 2008 Physica A 387 1721

    [117]

    Chen F, Xu A, Zhang G, Li Y, Succi S 2010 EPL 90 54003

    [118]

    Chen F, Xu A, Zhang G, Li Y 2011 Commun. Theore. Phys. 55 325

    [119]

    Gan Y, Xu A, Zhang G, Yang Y 2013 EPL 103 24003

    [120]

    Chen F, Xu A, Zhang G, Li Y 2011 Commun. Theore. Phys. 56 333

    [121]

    Chen F, Xu A, Zhang G, Li Y 2011 Theore. & Appl. Mech. Lett. 1 052004

    [122]

    Gan Y, Xu A, Zhang G, Li Y 2011 Commun. Theore. Phys. 56 490

    [123]

    Chen F, Xu A, Zhang G, Li Y 2011 Commun. Theore. Phys. 55 325

    [124]

    Lin C, Xu A, Zhang G, Li Y 2014 arXiv:1405.5500

  • [1]

    Ju Y 2014 Adv. Mech. 44 201402

    [2]

    Chu S, Majumdar A 2012 Nature 488 294

    [3]

    Jangsawang W, Fungtammasan B, Kerdsuwan S 2005 Energ. Convers. Manage. 46 3137

    [4]

    Schott G L 1965 Phys. Fluids 8 850

    [5]

    Bykovskii F A, Zhdan S A, Vedernikov E F 2006 Journal of Propulsion and Power 22 1204

    [6]

    Ju Y, Maruta K 2011 Progress in Energy and Combustion Science 37 669

    [7]

    Fernandez-Pello A C 2002 Proceedings of the Combustion Institute 29 883

    [8]

    Sabourin J L, Dabbs D M, Yetter R A, Dryer F L, Aksay I A 2009 ACS Nano 3 3945

    [9]

    Ohkura Y, Rao P M, Zheng X 2011 Combust. Flame 158 2544

    [10]

    Dec J E 2009 Proc. Combust. Inst. 32 2727

    [11]

    Starikovskiy A, Aleksandrov N 2012 Progress in Energy and Combustion Science 39 61

    [12]

    Uddi M, Jiang N, Mintusov E, Adamovich I V, Lempert W R 2009 Proceedings of the Combustion Institute 32 929

    [13]

    Sun W, Chen Z, Gou X, Ju Y 2010 Combust. Flame 157 1298

    [14]

    Won S H, Windom B, Jiang B, Ju Y 2014 Combust. Flame 161 475

    [15]

    Ombrello T, Qin X, Ju Y, Gutsol A, Fridman A, Carter C 2006 AIAA Journal 44 142

    [16]

    Sun W, Uddi M, Won S H, Ombrello T, Carter C, Ju Y 2012 Combust. Flame 159 221

    [17]

    Sun W, Ju Y 2013 J Plasma Fusion Res. 89 208

    [18]

    Chapman D L 1899 Philos. Mag. 47 90

    [19]

    Jouguet E J 1905 J. Math. Pures Appl. 1 347

    [20]

    Zeldovich Ya B 1940 J. Exp. Theor. Phys. 10 542

    [21]

    von Neumann J 1942 Theory of Detonation Waves (New York: Macmillan)

    [22]

    Doering W 1943 Ann. Phys. 43 421

    [23]

    Fickett W, Davis W C 2000 Detonation: Theory and Experiment (Mineola, New York: Dover Publications, INC.)

    [24]

    Chen Z 2009 Ph. D Dissertation (Princeton: Princeton University)

    [25]

    Dai P, Chen Z, Chen S, Ju Y 2015 Proc. Combust. Inst. 35 3045

    [26]

    Yu H, Han W, Santner J, Gou X, Sohn C H, Ju Y, Chen Z 2014 Combust. Flame 161 2815

    [27]

    Bai B, Chen Z, Zhang H, Chen S 2013 Combust. Flame 160 2810

    [28]

    Ren Z Y, Lu Z, Hou L Y, Lu L 2014 Sci. China: Phys. Mech. Astron. 57 1495

    [29]

    Huang X F, Li S J, Zhou D H, Zhao G J, Wang G Q, Xu J R 2014 Acta Phys. Sin. 63 178802(in Chinese) [黄雪峰, 李盛姬, 周东辉, 赵冠军, 王关晴, 徐江荣 2014 物理学报 63 178802]

    [30]

    Yang J C, Xia Z X, Hu J X 2013 Acta Phys. Sin. 62 074701(in Chinese) [杨晋朝, 夏智勋, 胡建新 2013 物理学报 62 074701]

    [31]

    Shi Y B, Ying Y J, Li J H 2007 Acta Phys. Sin. 56 6911(in Chinese) [施研博, 应阳君, 李金虹 2007 物理学报 56 6911]

    [32]

    Benzi R, Succi S, Vergassola M 1992 Phys. Reports 222 145

    [33]

    Succi S 2001 The Lattice Boltzmann Equation for Fluid Dynamics and Beyond (New York: Oxford University Press)

    [34]

    Succi S, Karlin I V, Chen H 2002 Rev. Mod. Phys. 74 1203

    [35]

    Chen H, Kandasamy S, Orszag S, Shock R, Succi S, Yakhot V 2003 Science 301 633

    [36]

    Xu A, Zhang G, Gan Y, Chen F, Yu X 2012 Front. Phys. 7 582

    [37]

    Xu A G, Zhang G C, Li Y J, Li H 2014 Prog. Phys. 34 136(in Chinese) [许爱国, 张广财, 李英骏, 李华 2014 物理学进展 34 136]

    [38]

    Guo Z, Shu C 2013 Lattice Boltzmann Method and Its Applications in Engineering (advances in computational fluid dynamics) (Sigapore: World Scientific Publishing Company)

    [39]

    Chen S 2010 Non-equilibrium Statistical Mechanics (Beijing: Scientific Press) (in Chinese) [陈式刚 编著 2010 非平衡统计力学(北京: 科学出版社)]

    [40]

    Shokhov E M 1968 Fluid Dyn. 3 95

    [41]

    Bhatnagar L, Gross E P, Krook M 1954 Phys. Rev. 94 511

    [42]

    Holway Jr L H 1966 Phys. Fluids (1958-1988) 9 1658

    [43]

    Rykov V A 1975 Fluid Dyn. 10 959

    [44]

    Liu G 1990 Phys. Fluids A: Fluid Dyn. (1989-1993) 2 277

    [45]

    Frisch U, Hasslacher B, Pomeau Y 1986 Phys. Rev. Lett. 56 1505

    [46]

    Koelman J 1991 EPL 15 603

    [47]

    Chen S, Chen H, Martinez D, Matthaeus W 1991 Phys. Rev. Lett. 67 3776

    [48]

    Qian Y, d’Humieres D, Lallemand P 1992 EPL 17 479

    [49]

    He X Y, Luo L S 1997 Phys. Rev. E 55 R6333

    [50]

    Nie X B 1988 M.S. Dissertation (Beijing: Graduate School, China Academy of Engineering Physics) (in Chinese) [聂小波 1988 硕士学位论文(北京: 中国工程物理研究院研究生部)]

    [51]

    MeNamara G R, Zanetti G 1988 Phys. Rev. Lett. 61 2332

    [52]

    Higuera F L, Jimenez J 1989 EPL 9 663

    [53]

    He Y L, Wang Y, Li Q 2009 Lattice Boltzmann Method: Theory and Applications (Beijing: Scientific Press) (in Chinese) [何雅玲, 王勇, 李庆 2009 格子Boltzmann 方法的理论及应用 (北京: 科学出版社)]

    [54]

    Yan B 2013 Ph. D. Dissertation (Changchun: Jilin University) (in Chinese) [闫铂 2013 博士学位论文(长春: 吉林大学)]

    [55]

    Gonnella G, Orlandini E, Yeomans J M 1997 Phys. Rev. Lett. 78 1695

    [56]

    Denniston C, Yeomans J M 2001 Phys. Rev. Lett. 87 275505

    [57]

    Toth G, Denniston C, Yeomans Y M 2002 Phys. Rev. Lett. 88 105504

    [58]

    Shan X, Chen H 1993 Phys. Rev. E 47 1815

    [59]

    Chen S, Doolen G D 1998 Annu. Rev. Fluid Mech. 30 329

    [60]

    Kang Q, Zhang D, Chen S, He X 2002 Phys. Rev. E 65 036318

    [61]

    Fang H, Wang Z, Lin Z, Liu M 2002 Phys. Rev. E 65 051925

    [62]

    Dawson S, Chen S, Doolen G D 1993 J. Chem. Phys. 98 1514

    [63]

    Weimar J R, Boon J P 1996 Physica A 224 207

    [64]

    Zhang R, Xu Y, Wen B, Sheng N, Fang H 2014 Sci. Reports 4 5738

    [65]

    Chen S, Martinez D, Mei R 1996 Phys. Fluids 8 2527

    [66]

    Lai H, Ma C 2011 Phys. Rev. E 84 046708

    [67]

    Xu A, Gonnella G, Lamura A 2006 Phys. Rev. E 74 011505

    [68]

    Xu A, Gonnella G, Lamura A, Amati G, Massaioli F 2005 EPL 71 651

    [69]

    Xu A, Gonnella G, Lamura A 2006 Physica A 362 42

    [70]

    Xu A, Gonnella G, Lamura A 2004 Physica A 344 750

    [71]

    Xu A, Gonnella G, Lamura A 2004 Physica A 331 10

    [72]

    Xu A, Gonnella G, Lamura A 2003 Phys. Rev. E 67 056105

    [73]

    Gan Y, Xu A, Zhang G, Li Y 2012 Front. Phys. 7 481

    [74]

    Gan Y, Xu A, Zhang G, Li Y 2012 Commun. Theore. Phys. 57 681

    [75]

    Gan Y, Xu A, Zhang G, Wang J, Yu X, Yang Y 2014 Int. J. Mod. Phys. C 25 1441002

    [76]

    Gan Y, Xu A, Zhang G, Li Y 2011 Phys. Rev. E 83 056704

    [77]

    Gan Y, Xu A, Zhang G, Zhang P, Li Y 2012 EPL 97 44002

    [78]

    Gan Y, Xu A, Zhang G, Li Y, Li Y 2011 Phys. Rev. E 84 046715

    [79]

    Chen F, Xu A, Zhang G, Li Y 2011 Phys. Lett. A 375 2129

    [80]

    Pan X F, Xu A, Zhang G, Jiang S 2007 Int. J. Mod. Phys. C 18 1747

    [81]

    Yan B, Xu A, Zhang G, Ying Y, Li H 2013 Front. Phys. 8 94

    [82]

    Lin C, Xu A, Zhang G, Li Y 2014 Commun. Theor. Phys. 62 737

    [83]

    Xu A, Lin C, Zhang G, Li Y 2015 Phys. Rev. E 91 043306

    [84]

    Xu A, Zhang G, Gan Y 2014 arXiv:1403.3744

    [85]

    Gan Y, Xu A, Zhang G, Succi S 2015 Soft Matter 11 5336

    [86]

    Chen F, Xu A, Zhang G, Wang Y 2014 Front Phys. 9 246

    [87]

    Lin C, Xu A, Zhang G, Li Y, Succi S 2014 Phys. Rev. E 89 013307

    [88]

    Lai H 2015 Postdoctoral Research Report (Beijing: Institute of Applied Physics and Computational Mathematics) (in Chinese) [赖惠林 2015 博士后出站报告(北京: 应用物理与计算数学研究所)]

    [89]

    Lai H, Xu A, Zhang G, Gan Y, Ying Y, Succi S 2015 arXiv:1507.01107

    [90]

    Gan Y B, Xu A G, Zhang G C 2015 Guest Professor Research Report (Beijing: Institute of Applied Physics and Computational Mathematics) (in Chinese) [甘延标, 许爱国, 张广财 2015 Kelvin-Helmholtz不稳定性的离散Boltzmann建模、模拟与非平衡效应研究 (北京: 北京应用物理与计算数学研究所客座研究报告)]

    [91]

    Succi S, Bella G, Papetti F 1997 J. Sci. Comput. 12 395

    [92]

    Filippova O, Hanel D 1998 Int. J. Mod. Phys. C 9 1439

    [93]

    Filippova O, Hanel D 2000 J. Comput. Phys. 158 139

    [94]

    Filippova O, Hanel D 2000 Comput. Phys. Commun. 129 267

    [95]

    Yu H, Luo L, Girimaji S 2002 Int. J. Comput. Eng. Sci. 3 73

    [96]

    Yamamoto K, He X, Doolen G 2002 J. Stat. Phys. 107 367

    [97]

    Yamamoto K 2003 Int. J. Mod. Phys. B 17 197

    [98]

    Yamamoto K, Takada N, Misawa M 2005 Proc. Comb. Inst. 30 1509

    [99]

    Lee T, Lin C, Chen L 2006 J. Comput. Phys. 215 133

    [100]

    Chiavazzo E, Karlin I V, Gorban A N, Boulouchos K 2009 J. Stat. Mech.: Theory and Experiment P06013

    [101]

    Chiavazzo E, Karlin I V, Gorban A N, Boulouchos K 2010 Combust. Flame 157 1833

    [102]

    Chiavazzo E, Karlin IV, Gorban A N, Boulouchos K 2011 Int.J. Numerical Methods for Heat & Fluid Flow 21 494

    [103]

    Chen S, Liu Z, Zhang C, He Z, Tian Z, Shi B, Zheng C 2007 Appl. Math. Comput. 193 266

    [104]

    Chen S, Liu Z, Tian Z, Shi B, Zheng C 2008 Comput. Math. Appl. 55 1424

    [105]

    Chen S, Krafczyk M 2009 Int. J. Therm. Sci. 48 1978

    [106]

    Chen S 2010 Int. J. Hydrogen Energ. 35 1401

    [107]

    Chen S, Li J, Han H, Liu Z, Zheng C 2010 Int. J. Hydrogen Energ. 35 3891

    [108]

    Chen S, Han H, Liu Z, Li J, Zheng C 2010 Int. J. Hydrogen. Energ. 35 4736

    [109]

    Chen S, Zheng C 2011 Int. J. Hydrogen Energ. 36 15403

    [110]

    Chen S, Mi J, Liu H, Zheng C 2012 Int. J. Hydrogen. Energ. 37 5234

    [111]

    Sun J S, Zhu J S 1995 Theoretical Explosion Physics (Beijing: National Defense Industry Press) (in Chinese) [孙锦山, 朱建士 1995 理论爆轰物理(北京: 国防工业出版社)]

    [112]

    Cochran S G, Chan J 1979 Lawrence Livermore National Laboratory Report UCID-18024

    [113]

    Lee E L, Tarver C M 1980 Phys. Fluids 23 2362

    [114]

    Gou X, Sun W, Chen Z, Ju Y 2010 Combust. Flame 157 1111

    [115]

    Pan X, Xu A, Zhang G, Jiang S 2007 Int. J. Mod. Phys. C 18 1747

    [116]

    Gan Y, Xu A, Zhang G, Yu X, Li Y 2008 Physica A 387 1721

    [117]

    Chen F, Xu A, Zhang G, Li Y, Succi S 2010 EPL 90 54003

    [118]

    Chen F, Xu A, Zhang G, Li Y 2011 Commun. Theore. Phys. 55 325

    [119]

    Gan Y, Xu A, Zhang G, Yang Y 2013 EPL 103 24003

    [120]

    Chen F, Xu A, Zhang G, Li Y 2011 Commun. Theore. Phys. 56 333

    [121]

    Chen F, Xu A, Zhang G, Li Y 2011 Theore. & Appl. Mech. Lett. 1 052004

    [122]

    Gan Y, Xu A, Zhang G, Li Y 2011 Commun. Theore. Phys. 56 490

    [123]

    Chen F, Xu A, Zhang G, Li Y 2011 Commun. Theore. Phys. 55 325

    [124]

    Lin C, Xu A, Zhang G, Li Y 2014 arXiv:1405.5500

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  • 收稿日期:  2015-02-04
  • 修回日期:  2015-04-02
  • 刊出日期:  2015-09-20

燃烧系统的离散Boltzmann建模与模拟研究进展

  • 1. 北京应用物理与计算数学研究所计算物理重点实验室, 北京 100088;
  • 2. 北京大学应用物理与技术研究中心和高能量密度物理数值模拟教育部重点实验室, 北京 100871;
  • 3. 理论物理国家重点实验室(中国科学院理论物理研究所), 北京 100190;
  • 4. 爆炸科学与技术国家重点实验室(北京理工大学), 北京 100081
  • 通信作者: 许爱国, Xu_Aiguo@iapcm.ac.cn
    基金项目: 

    计算物理重点实验室基金、国家自然科学基金(批准号: 11475028, 11202003)、理论物理国家重点实验室(中国科学院理论物理研究所)开放课题(批准号: Y4KF151CJ1)和爆炸科学与技术国家重点实验室(北京理工大学)开放课题(批准号: KFJJ14-1M)资助的课题.

摘要: 燃烧系统的诸多模拟依托于流体建模, 离散Boltzmann方法(discrete Boltzmann method, DBM) 是近年来发展起来的一种新的流体介观建模方法. 本文简要评述DBM发展的两个方向Navier-Stokes等偏微分方程的数值逼近解法和复杂系统的微介观动理学建模. 主要介绍在燃烧系统模拟方面DBM已有的工作、新近的思路、与传统流体建模的异同以及近期的研究成果. 本文重点传递的信息为: 作为复杂系统微介观动理学建模出现的DBM在模拟过程中同时给出流动及其相伴随的、关系最密切的那部分热动非平衡效应; 它为燃烧等复杂系统中各类非平衡行为的描述、非平衡信息的提取、非平衡程度的度量提供了一种简洁、有效的方法; 它所提供的热动非平衡测量量有两类: 一类是直接比较分布函数和平衡态分布函数的动理学矩关系得到的, 一类是来自于Chapman-Enskog多尺度分析给出的热传导和黏性项. 基于第二类DBM, 可以实现(燃烧等)一大类复杂流体系统的多尺度物理建模.

English Abstract

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