费飞,樊菁. 高雷诺数方腔流动的分子模拟.力学学报, 2013, 45 (5): 653-659 (Fei Fei, Fan Jing. Molecular simulation of driven cavity flows with high Reynolds number. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(5): 653-659 (in Chinese))
[2]
Xu K,Huang JC. A unified gas-kinetic scheme for continuum and rarefied flows. Journal of Computational Physics, 2010, 229(20): 7747-7764
[3]
Huang JC, Xu K, Yu PB. A unified gas-kinetic scheme for continuum and rarefied flows II: multi-dimensional cases. Communications in Computational Physics, 2012, 12(3): 662-690
[4]
Chen SZ, Xu K, Lee C, et al.. A unified gas kinetic scheme with moving mesh and velocity space adaptation. Journal of Computational Physics, 2012, 231(20): 6643-6664
[5]
Huang JC, Xu K, Yu PB. A unified gas-kinetic scheme for continuum and rarefied flows III: Microflow simulations. Communications in Computational Physics, 2013, 14(5): 1147-1173
[6]
李启兵, 徐昆. 气体动理学格式研究进展. 力学进展, 2012, 42(5): 522-537(Li Qibing, Xu Kun. Progress in gas kinetic scheme. Advances in Mechanics, 2012, 42(5):522-537 (in Chinese))
[7]
江定武,毛枚良,邓小刚 等. 二维缝隙跨流域流动数值模拟. 见:计算流体力学研究进展,第十五届全国计算流体力学会议,山东烟台, 2012 (Jiang Dingwu, Mao Meiliang, Deng Xiaogang, et al. Numerical simulation of the flow through a slit covering various regimes. In: Progress in Computational Fluid Dynamics, The 15th Computational Fluid Dynamics Conference, Yantai, Shangdong, 2012 (in Chinese))
[8]
李志辉,张涵信. 稀薄流到连续流的气体运动论统一数值算法初步研究. 空气动力学学报, 2000, 18(3): 255-263 (Li Zhihui, Zhang Hanxin. Study on gas kinetic algorithm for flows from rarefied transition to continuum. Acta Aerodynamica Sinica, 2000, 18(3): 255-263 (in Chinese))
[9]
李志辉,张涵信. 稀薄流到连续流的气体运动论统一算法研究. 空气动力学学报, 2003, 21(3): 255-266(Li Zhihui, Zhang Hanxin. Study on gas kinetic unified algorithm for flows from rarefied transition to continuum. Acta Aerodynamica Sinica, 2003, 21(3): 255-266((in Chinese))
[10]
李志辉,吴俊林,蒋新宇 等. 含转动非平衡效应Boltzmann模型方程统一算法与跨流域绕流问题模拟研究. 空气动力学学报, 2014, 32(2): 137-145 (Li Zhihui, Wu Junlin,Jiang Xinyu, et al.. The unified algorithm for various flow regimes solving boltzmann model equation in rotational non-equilibrium. Acta Aerodynamica Sinica, 2014, 32(2): 137-145 (in Chinese))
[11]
李志辉,蒋新宇,吴俊林 等. 转动非平衡玻尔兹曼模型方程统一算法与全流域绕流计算应用. 力学学报, 2014, 46(3): 336-351 (Li Zhihui, Jiang Xinyu, Wu Junlin, et al. Gas-Kinetic unified algorithm for boltzmann model equation in rotational nonequilibrium and its application to the whole range flow regimes. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(3): 336-351 (in Chinese))
[12]
Mieussens L. Discrete velocity models and numerical schemes for the Boltzmann-BGK equation in plane and axisymmetric geometries. Journal of Computational Physics, 2000, 162(2): 429-466
[13]
Arslanbekov RR, Kolobov VI,Frolova AA, Kinetic solvers with adaptive mesh in phase space. In:Abe T ed. Rarefied Gas Dynamics,Melville: Amer Inst Physics, 2013: 294-301
[14]
Chigullapalli S, Alexeenko A. Unsteady 3D rarefied flow solver based on Boltzmann-ESBGK model kinetic equations. AIAA paper2011-3993, 2011
[15]
Huang JC. A conservative discrete ordinate method for model boltzmann equations. Computers & Fluids, 2011, 45(1): 261-267
[16]
Shakhov EM. Generalization of the krook kinetic equation. Fluid Dynamics, 1968, 3(5): 95-96
[17]
Li QB, Fu S, Xu K. Application of gas kinetic scheme with kinetic boundary conditions in hypersonic flow. AIAA Journal, 2005, 43(10): 2170-2176
[18]
奚梅成,刘儒勋. 数值分析方法. 合肥:中国科技大学出版社,2003 (Xi Meicheng, Liu Ruxun. Numerical Analysis Methods. Hefei:University of Science and Technology of China Press,2003 (in Chinese))
[19]
Titarev VA. Conservative numerical methods for model kinetic equations. Computers & Fluids, 2007, 36(9): 1446-1459
