Department of Mathematics, HKUST  

  XU, Kun   徐 昆

  PhD Columbia

Office: Room 3462  

Telephone: 7412  

Email: makxu@ust.hk  

URL:
https://www.math.hkust.edu.hk/~makxu   
  Head/Chair Professor

Teaching

  • MATH4326  Introduction to Fluid Dynamics
  • MATH5350  Computational Fluid Dynamics for Inviscid Flows
  • MATH6913L  Reading Course: Turbulent Flows
  • MATH6915  Scientific Computation Seminar
  • MATH6916  Student Seminars on Computation Related Research

Research Interests

  • Computational fluid dynamics; gas kinetic schemes; rarefied gas; heat transfer

       Selected Publications

Full Publication List [HKUST Scholarly Publications]  

Article   

  1. GKS and UGKS for high-speed flows
    • Author(s): Zhu, Yajun; Zhong, Chengwen; Xu, Kun
    • Source: Aerospace, v. 8, (5), May 2021, article number 141
    • Year: 2021

  2. 高階氣體動理學格式在湍流數值模擬中的應用
    • Author(s): 曹貴瑜; 潘亮; 徐昆
    • Source: 空氣動力學學報=Acta Aerodynamica Sinica, v. 39, (1), February 2021, p. 168-176
    • Year: 2021

  3. Unified gas-kinetic wave-particle methods IV: multi-species gas mixture and plasma transport
    • Author(s): Liu, Chang; Xu, Kun
    • Source: Advances in Aerodynamics, v. 3, April 2021, article number 9
    • Year: 2021

  4. Progress of discrete unified gas-kinetic scheme for multiscale flows
    • Author(s): Guo, Zhaoli; Xu, Kun
    • Source: Advances in Aerodynamics, v. 3, February 2021, article number 6
    • Year: 2021

  5. Compact High-Order Gas-Kinetic Scheme for Three-Dimensional Flow Simulations
    • Author(s): Ji, Xing; Zhao, Fengxiang; Shyy, Wei; Xu, Kun
    • Source: AIAA Journal, v. 59, (8), August 2021, p. 2979-2996
    • Year: 2021

  6. The study of shallow water flow with bottom topography by high-order compact gas-kinetic scheme on unstructured mesh
    • Author(s): Zhao, Fengxiang; Gan, Jianping; Xu, Kun
    • Source: Physics of Fluids, v. 33, (8), August 2021, article number 083613
    • Year: 2021

  7. Unified gas-kinetic wave-particle methods V: Diatomic molecular flow
    • Author(s): Xu, Xiaocong; Chen, Yipei; Liu, Chang; Li, Zhihui; Xu, Kun
    • Source: Journal of Computational Physics, v. 442, October 2021, article number 110496
    • Year: 2021

  8. High-order gas-kinetic scheme on three-dimensional unstructured meshes for compressible flows
    • Author(s): Yang, Yaqing; Pan, Liang; Xu, Kun
    • Source: Physics of Fluids, v. 33, (9), September 2021, article number 096102
    • Year: 2021

  9. An Arbitrary-Lagrangian-Eulerian High-Order Gas-Kinetic Scheme for Three-Dimensional Computations
    • Author(s): Pan, Liang; Xu, Kun
    • Source: Journal of Scientific Computing, v. 88, (1), July 2021, article number 8
    • Year: 2021

  10. Three dimensional high-order gas-kinetic scheme for supersonic isotropic turbulence II: Coarse-graining analysis of compressible Ksgs budget
    • Author(s): Cao, Guiyu; Pan, Liang; Xu, Kun
    • Source: Journal of Computational Physics, v. 439, August 2021, article number 110402
    • Year: 2021

  11. Fourth-order gas-kinetic scheme for turbulence simulation with multi-dimensional WENO reconstruction
    • Author(s): Pan, Liang; Cao, Guiyu; Xu, Kun
    • Source: Computers and Fluids, v. 221, May 2021, article number 104927
    • Year: 2021

  12. Modeling and computation for non-equilibrium gas dynamics: Beyond single relaxation time kinetic models
    • Author(s): Xu, Xiaocong; Chen, Yipei; Xu, Kun
    • Source: Physics of Fluids, v. 33, (1), January 2021, article number 011703
    • Year: 2021

  13. A Unified Gas-kinetic Scheme for Micro Flow Simulation Based on Linearized Kinetic Equation
    • Author(s): Liu, Chang; Xu, Kun
    • Source: Advances in Aerodynamics, v. 2, September 2020, article number 21
    • Year: 2020

  14. Multiscale Simulation for the System of Radiation Hydrodynamics
    • Author(s): Sun, Wenjun; Jiang, Song; Xu, Kun; Cao, Guiyu
    • Source: Journal of Scientific Computing, v. 85, (2), 19 October 2020, article number 25
    • Year: 2020

  15. High-order gas-kinetic scheme in curvilinear coordinates for the Euler and Navier-Stokes solutions
    • Author(s): Pan, L.; Xu, Kun
    • Source: Communications in Computational Physics, v. 28, (4), August 2020, p. 1321-1351
    • Year: 2020

  16. An Acoustic and Shock Wave Capturing Compact High-Order Gas-Kinetic Scheme with Spectral-Like Resolution
    • Author(s): Zhao, Fengxiang MECH; Ji, Xing; Shyy, Wei; Xu, Kun
    • Source: International Journal of Computational Fluid Dynamics, 23 September 2020
    • Year: 2020

  17. A three-dimensional unified gas-kinetic wave-particle solver for flow computation in all regimes
    • Author(s): Chen, Yipei ; Zhu, Yajun; Xu, Kun
    • Source: Physics of Fluids, v. 32, (9), September 2020, article number 096108
    • Year: 2020

  18. Ray effect in rarefied flow simulation
    • Author(s): Zhu, Yajun; Zhong, Chengwen; Xu, Kun
    • Source: Journal of Computational Physics, v. 422, 1 December 2020
    • Year: 2020

  19. Time Implicit Unified Gas Kinetic Scheme for 3D Multi-Group Neutron Transport Simulation
    • Author(s): Tan, Shuang; Sun, Wenjun; Xu, Kun; Wei, Junxia; Ni, Guoxi
    • Source: Communications in Computational Physics, v. 28, (3), September 2020, p. 1189-1218
    • Year: 2020

  20. A Well-Balanced Gas Kinetic Scheme for Navier-Stokes Equations with Gravitational Potential
    • Author(s): Chen, Songze; Guo, Zhaoli; Xu, Kun
    • Source: Communications in Computational Physics, v. 28, (3), September 2020, p. 902-906
    • Year: 2020

  21. 离散时空直接建模思想及其在模拟多尺度输运中的应用
    • Author(s): 刘畅 ; 徐昆
    • Source: 空氣動力學學報, v. 38, (2), April 2020, article number 0258-1825(2020)02-0197-20, p. 197-216
    • Year: 2020

  22. High-order ALE gas-kinetic scheme with WENO reconstruction
    • Author(s): Pan, Liang; Zhao, Fengxiang; Xu, Kun
    • Source: Journal of Computational Physics, 2020, article number 109558
    • Year: 2020

  23. A Velocity-Space Adaptive Unified Gas Kinetic Scheme for Continuum and Rarefied Flows
    • Author(s): Xiao, Tianbai; Liu, Chang; Xu, Kun; Cai, Qingdong
    • Source: Journal of Computational Physics, 109535, 2020
    • Year: 2020

  24. Performance Enhancement for High-Order Gas-Kinetic Scheme Based on WENO-Adaptive-Order Reconstruction
    • Author(s): Ji, Xing ; Xu, Kun
    • Source: Communications in Computational Physics, v. 28, (2), August 2020, p. 539-590
    • Year: 2020

  25. Unified gas-kinetic wave-particle methods III: Multiscale photon transport
    • Author(s): Li, Weiming; Liu, Chang; Zhu, Yajun; Zhang, Jiwei; Xu, Kun
    • Source: Journal of Computational Physics, v. 408, 1 May 2020, article number 109280
    • Year: 2020

  26. A HWENO reconstruction based high-order compact gas-kinetic scheme on unstructured mesh
    • Author(s): Ji, Xing ; Zhao, Fengxiang; Shyy, Wei; Xu, Kun
    • Source: Journal of Computational Physics, v. 410, June 2020, article number 109367
    • Year: 2020

  27. Unified Gas-kinetic Wave-particle Methods I: Continuum and Rarefied Gas Flow
    • Author(s): Liu, Chang ; Zhu, Yajun; Xu, Kun
    • Source: Journal of Computational Physics, v. 401, January 2020, article number 108977
    • Year: 2020

  28. High-order gas-kinetic scheme with three-dimensional WENO reconstruction for the Euler and Navier-Stokes solutions
    • Author(s): Pan, Liang; Xu, Kun
    • Source: Computers and Fluids, v.198, February 2020, article number 104401
    • Year: 2020

  29. 类探月返回试验器稀薄气体电离特性分析
    • Author(s): 方明; 李丹杨; 徐昆
    • Source: 空气动力学学报=Acta Aerodynamica Sinica, v. 37, (6), December 2019, p. 924-930
    • Year: 2019

  30. Limitation principle for computational fluid dynamics
    • Author(s): Liu, Chang ; Zhou, Guangzhao; Shyy, Wei; Xu, Kun
    • Source: Shock Waves, v. 29, (8), November 2019, p. 1083-1102
    • Year: 2019

  31. Implicit high-order gas kinetic scheme for turbulence simulation
    • Author(s): Cao, Guiyu ; Su, Hongmin; Xu, Jinxiu; Xu, Kun
    • Source: Aerospace Science and Technology, v. 92, September 2019, p. 958-971
    • Year: 2019

  32. Fifth order finite volume WENO in general orthogonally - curvilinear coordinates
    • Author(s): Shadab, Mohammad Afzal MAE; Balsara, Dinshaw S.; Shyy, Wei; Xu, Kun
    • Source: Computers and Fluids, v. 190, August 2019, p. 398-424
    • Year: 2019

  33. Three dimensional high-order gas-kinetic scheme for supersonic isotropic turbulence I: Criterion for direct numerical simulation
    • Author(s): Cao, Guiyu ; Pan, Liang; Xu, Kun
    • Source: Computers and Fluids, v.192, October 2019, article number 104273
    • Year: 2019

  34. Unified gas-kinetic wave-particle methods. II. Multiscale simulation on unstructured mesh
    • Author(s): Zhu, Yajun; Liu, Chang; Zhong, Chengwen; Xu, Kun
    • Source: Physics of Fluids, v. 31, (6), June 2019, article number 067105
    • Year: 2019

  35. Compact higher-order gas-kinetic schemes with spectral-like resolution for compressible flow simulations
    • Author(s): Zhao, Fengxiang MECH; Ji, Xing ; Shyy, Wei MAE; Xu, Kun MAE
    • Source: Advances in Aerodynamics, v. 1, (13), 6 June 2019
    • Year: 2019

  36. A unified gas-kinetic scheme for continuum and rarefied flows VI: Dilute disperse gas-particle multiphase system
    • Author(s): Liu, Chang ; Wang, Zhao; Xu, Kun
    • Source: Journal of Computational Physics, v.386, June 2019, p. 264-295
    • Year: 2019

  37. An implicit unified gas-kinetic scheme for unsteady flow in all Knudsen regimes
    • Author(s): Zhu, Yajun; Zhong, Chengwen; Xu, Kun
    • Source: Journal of Computational Physics, v.386, June 2019, p. 190-217
    • Year: 2019

  38. A unified gas-kinetic scheme for multiscale and multicomponent flow transport
    • Author(s): Xiao, Tianbai; Xu, Kun MAE; Cai, Qingdong
    • Source: Applied Mathematics and Mechanics (English Edition), v. 40, (3), 1 March 2019, p. 355-372
    • Year: 2019

  39. Two-stage fourth-order gas-kinetic scheme for three-dimensional Euler and Navier-Stokes solutions
    • Author(s): Pan, Liang; Xu, Kun
    • Source: INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS, v. 32, (10), November 2018, p. 395-411
    • Year: 2018

  40. Physical modeling and numerical studies of three-dimensional non-equilibrium multi-temperature flows
    • Author(s): Cao, Guiyu ; Liu, Hualin; Xu, Kun
    • Source: Physics of Fluids, v. 30, (12), December 2018, article number 126104
    • Year: 2018

  41. A Family of High-order Gas-kinetic Schemes and Its Comparison With Riemann Solver Based High-order Methods
    • Author(s): Ji, Xing; Zhao, Fengxiang; Shyy, Wei; Xu, Kun
    • Source: Journal of Computational Physics. , v. 356, March 2018, p. 150-173
    • Year: 2018

  42. An Efficient High-order Finite Difference Gas-kinetic Scheme for the Euler and Navier–stokes Equations
    • Author(s): Xuan, li-jun; Xu, Kun
    • Source: Computers & Fluids. , v. 166, 30 April 2018, p. 243-252
    • Year: 2018

  43. Grid-converged Solution and Analysis of the Unsteady Viscous Flow in a Two-dimensional Shock Tube
    • Author(s): Zhou, Guangzhao; Xu, Kun ; Liu, Feng
    • Source: Physics of Fluids. , v. 30, (1), January 2018, article number 016102
    • Year: 2018

  44. An Investigation of Non-equilibrium Heat Transport in a Gas System Under External Force Field
    • Author(s): Xiao, T.; Xu, Kun ; Cai, Q.; Qian, Tiezheng
    • Source: International Journal of Heat and Mass Transfer. , v. 126, November 2018, p. 362-379
    • Year: 2018

  45. A unified gas-kinetic scheme for axisymmetric flow in all Knudsen number regimes
    • Author(s): Li, shiyi; Li, qibing; Fu, song; Xu, Kun
    • Source: Journal of Computational Physics. , v. 366, August 2018, p. 144-169
    • Year: 2018

  46. A Compact Fourth-order Gas-kinetic Scheme for the Euler and Navier–stokes Equations
    • Author(s): Ji, Xing ; Pan, L.; Shyy, Wei MAE; Xu, Kun
    • Source: Journal of Computational Physics. , v. 372, November 2018, p. 446-472
    • Year: 2018

  47. A Well-Balanced Unified Gas-Kinetic Scheme for Multiscale Flow Transport under Gravitational Field
    • Author(s): Xiao, Tianbai; Cai, Qingdong; Xu, Kun
    • Source: Journal of Computational Physics. , v. 332, March 2017, p. 475-491
    • Year: 2017

  48. Simplification of the Flux Function for A High-order Gas-kinetic Evolution Model
    • Author(s): Zhou, Guangzhao; Xu, Kun; Liu, Feng
    • Source: Journal of Computational Physics. , v. 339, June 2017, p. 146-162
    • Year: 2017

  49. To overcome memory barrier of kinetic solvers for non-equilibrium flow study
    • Author(s): Xu, Kun
    • Source: Science Bulletin. , v. 62, (2), January 2017, p. 99-101
    • Year: 2017

  50. An Implicit Unified Gas Kinetic Scheme for Radiative Transfer with Equilibrium and Non-Equilibrium Diffusive Limits
    • Author(s): Sun, Wenjun; Jiang, Song; Xu, Kun
    • Source: Communications in Computational Physics. , v. 22, (4), October 2017, p. 889-912
    • Year: 2017

  51. A Two-Stage Fourth-Order Gas-Kinetic Scheme for Compressible Multicomponent Flows
    • Author(s): Pan, Liang; Cheng, Junxia; Wang, Shuanghu; Xu, Kun
    • Source: Communications in Computational Physics. , v. 22, (4), October 2017, p. 1123-1149
    • Year: 2017

  52. A Gas-kinetic Theory Based Multidimensional High-order Method for the Compressible Navier–Stokes Solutions
    • Author(s): Ren, Xiaodong; Xu, Kun; Shyy, Wei
    • Source: Acta Mechanica Sinica. , v. 33, (4), August 2017, p. 733-741
    • Year: 2017

  53. A Few Benchmark Test Cases for Higher-Order Euler Solvers
    • Author(s): Pan, Liang; Li, Jiequan; Xu, Kun
    • Source: Numerical Mathematics. , v. 10, (4), November 2017, p. 711-736
    • Year: 2017

  54. Unified Gas-Kinetic Scheme for Diatomic Molecular Flow with Translational, Rotational, and Vibrational Modes
    • Author(s): Wang, Zhao; Yan, Hong; Li, Qibing; Xu, Kun
    • Source: Journal of Computational Physics. , v.350, December 2017, p. 237-259
    • Year: 2017

  55. Unified Gas-kinetic Scheme with Multigrid Convergence for Rarefied Flow Study
    • Author(s): Zhu, Yajun; Zhong, Chengwen; Xu, Kun
    • Source: Physics of Fluids. , v.29, (9), September 2017, article number 096102
    • Year: 2017

  56. A Multidimensional Unified Gas-kinetic Scheme for Radiative Transfer Equations on Unstructured Mesh
    • Author(s): Sun, Wenjun; Jiang, Song; Xu, Kun
    • Source: Journal of Computational Physics. , v.351, 2017, p. 455-472
    • Year: 2017

  57. On the Apparent Permeability of Porous Media in Rarefied Gas Flows
    • Author(s): Wu, Lei; Ho, Minh Tuan; Germanou, Lefki; Gu, Xiao-Jun; Liu, Chang; Xu, Kun; Zhang, Yonghao
    • Source: Journal of Fluid Mechanics. , v. 822, July 2017, p. 398-417
    • Year: 2017

  58. Systematic Study of Packaging Designs on The Performance of CMOS Thermoresistive Micro Calorimetric Flow Sensors
    • Author(s): Xu, Wei; Pan, Liang; Gao, Bo; Chiu, Yi; Xu, Kun; Lee, Yi-Kuen
    • Source: Journal of Micromechanics and Microengineering. , v. 27, (8), June 2017, article number 085001
    • Year: 2017

  59. A Paradigm for Modeling and Computation of Gas Dynamics
    • Author(s): Xu, Kun; Liu, Chang
    • Source: Physics of Fluids. , v. 29, (2), February 2017, article number 026101
    • Year: 2017

  60. A Unified Gas Kinetic Scheme for Continuum and Rarefied Flows V: Multiscale and Multi-Component Plasma Transport
    • Author(s): Liu, Chang; Xu, Kun
    • Source: Communications in Computational Physics. , v. 22, (5), November 2017, p. 1175-1223
    • Year: 2017

  61. Implicit unified gas-kinetic scheme for steady state solutions in all flow regimes
    • Author(s): Zhu, Yajun; Zhong, Chengwen; Xu, Kun
    • Source: Journal of Computational Physics. , v. 315, June 2016, p. 16-38
    • Year: 2016

  62. Simplification of the unified gas kinetic scheme
    • Author(s): Chen, Songze; Guo, Zhaoli; Xu, Kun
    • Source: Physical Review E. , v. 94, (2), August 2016, article number 023313
    • Year: 2016

  63. Discrete unified gas kinetic scheme for multiscale heat transfer based on the phonon Boltzmann transport equation
    • Author(s): Guo, Zhaoli; Xu, Kun
    • Source: International Journal of Heat and Mass Transfer. , v. 102, November 2016, p. 944-958
    • Year: 2016

  64. Discrete unified gas kinetic scheme on unstructured meshes
    • Author(s): Zhu, Lianhua; Guo, Zhaoli; Xu, Kun
    • Source: Computers and Fluids. , v. 127, March 2016, p. 211-225
    • Year: 2016

  65. An Efficient and Accurate Two-Stage Fourth-Order Gas-Kinetic Scheme for the Euler and Navier–Stokes Equations
    • Author(s): Pan, Liang; Xu, Kun; Li, Qibing; Li, Jiequan
    • Source: Journal of Computational Physics. , v. 326, December 2016, p. 197-221
    • Year: 2016

  66. Cartesian Grid Method for Gas Kinetic Scheme on Irregular Geometries
    • Author(s): Chen, Songze; Xu, Kun; Li, Zhihui
    • Source: Journal of Computational Physics. , v. 326, December 2016, p. 862-877
    • Year: 2016

  67. A unified gas-kinetic scheme for continuum and rarefied flows IV: Full Boltzmann and model equations
    • Author(s): Liu, Chang; Xu, Kun; Sun, Quanhua; Cai, Qingdong
    • Source: Journal of Computational Physics. , v. 314, June 2016, p. 305-340
    • Year: 2016

  68. A multi-dimensional high-order DG-ALE method based on gas-kinetic theory with application to oscillating bodies
    • Author(s): Ren, Xiaodong; Xu, Kun; Shyy, Wei
    • Source: Journal of Computational Physics. , v. 316, July 2016, p. 700-720
    • Year: 2016

  69. Onsager’s cross coupling effects in gas flows confined to micro-channels
    • Author(s): Wang, Ruijie ; Xu, Xinpeng ; Xu, Kun ; Qian, Tiezheng
    • Source: Physical Review Fluids. , v. 1, (4), August 2016, article number 044102
    • Year: 2016

  70. Manganese-tuned chemical etching of a platinum-copper nanocatalyst with platinum-rich surfaces
    • Author(s): Huang, Yiyin; Zhao, Tianshou; Zhao, Gang; Yan, Xiaohui; Xu, Kun
    • Source: Journal of Power Sources. , v. 304, Feb 2016, p. 74-80
    • Year: 2016

  71. A third-order compact gas-kinetic scheme on unstructured meshes for compressible Navier–Stokes solutions
    • Author(s): Pan, Liang; Xu, Kun
    • Source: Journal of Computational Physics. , v. 318, August 2016, p. 327-348
    • Year: 2016

  72. 高超声速计算中的气体动理学格式
    • Author(s): 徐昆 ; 陈松泽
    • Source: 航空学报=Acta Aeronautica et Astronautica Sinica, v. 36, (1), January 2015, p. 135-146
    • Year: 2015

  73. An asymptotic preserving unified gas kinetic scheme for gray radiative transfer equations
    • Author(s): Sun, Wenjun; Jiang, Song; Xu, Kun
    • Source: Journal of Computational Physics. , v. 285, March 2015, p. 265-279
    • Year: 2015

  74. Direct modeling for computational fluid dynamics
    • Author(s): Xu, Kun
    • Source: Acta Mechanica Sinica/Lixue Xuebao. , v. 31, (3), June 2015, p. 303-318
    • Year: 2015

  75. A Comparison and Unification of Ellipsoidal Statistical and Shakhov BGK Models
    • Author(s): Chen, Songze; Xu, Kun; Cai, Qingdong
    • Source: Advances in Applied Mathematics and Mechanics. , v. 7, (2), April 2015, p. 245-266
    • Year: 2015

  76. Gas kinetic scheme in hypersonic flow simulation
    • Author(s): Xu, Kun; Chen, Songze
    • Source: Hangkong Xuebao/Acta Aeronautica et Astronautica Sinica. , v. 36, (1), January 2015, p. 135-146
    • Year: 2015

  77. A Comparative Study of LBE and DUGKS Methods for Nearly Incompressible Flows
    • Author(s): Wang, Peng; Zhu, Lianhua; Guo, Zhaoli; Xu, Kun
    • Source: Communications in Computational Physics. , v. 17, (3), March 2015, p. 657-681
    • Year: 2015

  78. A comparative study of an asymptotic preserving scheme and unified gas-kinetic scheme in continuum flow limit
    • Author(s): Chen, Songze; Xu, Kun
    • Source: Journal of Computational Physics. , v. 288, May 2015, p. 52-65
    • Year: 2015

  79. An asymptotic preserving unified gas kinetic scheme for frequency-dependent radiative transfer equations
    • Author(s): Sun, Wenjun; Jiang, Song; Xu, Kun; Li, Shu
    • Source: Journal of Computational Physics. , v. 302, December 2015, p. 222-238
    • Year: 2015

  80. A multi-dimensional high-order discontinuous Galerkin method based on gas kinetic theory for viscous flow computations
    • Author(s): Ren, Xiaodong; Xu, Kun; Shyy, Wei; Gu, Chuwei
    • Source: Journal of Computational Physics. , v. 292, July 2015, p. 176-193
    • Year: 2015

  81. Discrete unified gas kinetic scheme for all Knudsen number flows. II. Thermal compressible case
    • Author(s): Guo, Zhaoli; Wang, Ruijie; Xu, Kun
    • Source: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. , v. 91, (3), March 2015, article number 033313
    • Year: 2015

  82. Generalized coordinate transformation and gas-kinetic scheme
    • Author(s): Pan, Liang; Xu, Kun
    • Source: Journal of Computational Physics. , v. 287, April 2015, p. 207-225
    • Year: 2015

  83. A third-order gas-kinetic scheme for three-dimensional inviscid and viscous flow computations
    • Author(s): Pan, Liang; Xu, Kun
    • Source: Computers and Fluids. , v. 119, September 2015, p. 250-260
    • Year: 2015

  84. A Compact Third-Order Gas-Kinetic Scheme for Compressible Euler and Navier-Stokes Equations
    • Author(s): Pan, Liang; Xu, Kun
    • Source: Communications in Computational Physics. , v. 18, (4), October 2015, p. 985-1011
    • Year: 2015

  85. 离散空间直接建模的计算流体力学方法
    • Author(s): 徐昆 ; 李启兵; 黎作武
    • Source: 中国科学:物理学 力学 天文学=Scientia Sinica: Physica, Mechanica & Astronomica, v. 44, (5), 2014, p. 519-530
    • Year: 2014

  86. Unified gas-kinetic simulation of slider air bearing
    • Author(s): Wang, Ruijie; Xu, Kun
    • Source: Theoretical and Applied Mechanics Letters. , v. 4, (2), 2014, article number 022001
    • Year: 2014

  87. Unified gas-kinetic scheme for diatomic molecular simulations in all flow regimes
    • Author(s): Liu, Sha; Yu, Pubing; Xu, Kun; Zhong, Chengwen
    • Source: Journal of Computational Physics. , v. 259, February 2014, p. 96-113
    • Year: 2014

  88. Kinetic Node-Pair Formulation for Two-Dimensional Flows from Continuum to Transitional Regime
    • Author(s): Fossati, Marco; Guardone, Alberto; Vigevano, Luigi; Xu, Kun
    • Source: AIAA Journal. , v. 51, (4), April 2013, p. 784-796
    • Year: 2013

  89. On the remedy against shock anomalies in kinetic schemes
    • Author(s): Ohwada, Taku; Adachi, Ryo; Xu, Kun; Luo, Jun
    • Source: Journal of Computational Physics. , v. 255, December 2013, p. 106-129
    • Year: 2013

  90. A new gas-kinetic scheme based on analytical solutions of the BGK equation
    • Author(s): Xuan, Li-Jun; Xu, Kun
    • Source: Journal of Computational Physics. , v. 234, (1), 2013, p. 524-539
    • Year: 2013

  91. Comparison of Fifth-Order WENO Scheme and Finite Volume WENO-Gas-Kinetic Scheme for Inviscid and Viscous Flow Simulation
    • Author(s): Luo, Jun; Xuan, Lijun; Xu, Kun
    • Source: Communications in Computational Physics. , v. 14, (3), September 2013, p. 599-620
    • Year: 2013

  92. A high-order multidimensional gas-kinetic scheme for hydrodynamic equations
    • Author(s): Luo, Jun; Xu, Kun
    • Source: Science China Technological Sciences. , v. 56, (10), October 2013, p. 2370-2384
    • Year: 2013

  93. Discrete unified gas kinetic scheme for all Knudsen number flows: Low-speed isothermal case
    • Author(s): Guo, Zhaoli; Xu, Kun; Wang, Ruijie
    • Source: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. , v. 88, (3), September 2013, article number 033305
    • Year: 2013

  94. A unified gas-kinetic scheme for continuum and rarefied flows III: Microflow simulations
    • Author(s): Huang, Juan-Chen; Xu, Kun; Yu, Pubing
    • Source: Communications in Computational Physics. , v. 14, (5), November 2013, p. 1147-1173
    • Year: 2013

  95. 氣體動理學格式研究進展
    • Author(s): 李啟兵; 徐昆
    • Source: 力學進展=Advances in Mechanics, v. 42, (5), 2012, p. 522-537
    • Year: 2012

  96. A unified gas kinetic scheme with moving mesh and velocity space adaptation
    • Author(s): Chen, Songze; Xu, Kun; Lee, Cunbiao; Cai, Qingdong
    • Source: Journal of Computational Physics. , v. 231, (20), August 2012, p. 6643-6664
    • Year: 2012

  97. A Unified Gas-Kinetic Scheme for Continuum and Rarefied Flows II: Multi-Dimensional Cases
    • Author(s): Huang, Juanchen; Xu, Kun; Yu, Pubing
    • Source: Communications in Computational Physics. , v. 12, (3), September 2012, p. 662-690
    • Year: 2012

  98. Multiple temperature kinetic model and its applications to micro-scale gas flows
    • Author(s): Liu, Hongwei; Xu, Kun; Zhu, Taishan; Ye, Wenjing
    • Source: Computers & Fluids. , v. 67, August 2012, p. 115-122
    • Year: 2012

  99. The dynamic mechanism of a moving Crookes radiometer
    • Author(s): Chen, Songze; Xu, Kun; Lee, Cunbiao
    • Source: Physics of Fluids. , v. 24, (11), November 2012, article number 111701
    • Year: 2012

  100. Progress in Gas-kinetic Scheme
    • Author(s): Li, Qibing; Xu, Kun
    • Source: Advances in Mechanics. , v. 42, (5), 2012, p. 522-537
    • Year: 2012

  101. The study of sound wave propagation in rarefied gases using unified gas-kinetic scheme
    • Author(s): Wang, Ruijie; Xu, Kun
    • Source: Acta Mechanica Sinica. , v. 28, (4), August 2012, p. 1022-1029
    • Year: 2012

  102. Comparison of the Generalized Riemann Solver and the Gas-kinetic Scheme for Inviscid Compressible Flow Simulations
    • Author(s): Li, Jiequan; Li, Qibing; Xu, Kun
    • Source: Journal of Computational Physics. , v. 230, (12), June 2011, p. 5080-5099
    • Year: 2011

  103. Multiple Temperature Gas Dynamic Equations for Non-equilibrium Flows
    • Author(s): Xu, Kun; Guo, Zhaoli
    • Source: Journal of Computational Mathematics. , v. 29, (6), 2011, p. 639-660
    • Year: 2011

  104. An improved unified gas-kinetic scheme and the study of shock structures
    • Author(s): Xu, Kun; Huang, Juan-Chen
    • Source: IMA Journal of Applied Mathematics. , v. 76, (5), October 2011, p. 698-711
    • Year: 2011

  105. A Well-Balanced Symplecticity-Preserving Gas-Kinetic Scheme for Hydrodynamic Equations Under Gravitational Field
    • Author(s): Luo, Jun; Xu, Kun; Liu, Na
    • Source: SIAM Journal on Scientific Computing. , v. 33, (5), 2011, p. 2356-2381
    • Year: 2011

  106. Gas-Kinetic BGK Scheme for Three Dimensional Magnetohydrodynamics
    • Author(s): Tang, Huazhong; Xu, Kun; Cai, Chunpei
    • Source: Numerical Mathematics: Theory, Methods and Applications. , v. 3, (4), November 2010, p. 387-404
    • Year: 2010

  107. A Three Dimensional Gas-Kinetic Scheme with Moving Mesh for Low-Speed Viscous Flow Computations
    • Author(s): Jin, Changqiu; Xu, Kun; Chen, Songze
    • Source: Advances in applied mathematics and mechanics. , v. 2, (6), December 2010, p. 746-762
    • Year: 2010

  108. Valid Physical Processes from Numerical Discontinuities in Computational Fluid Dynamics
    • Author(s): Xu, Kun; Sun, Quanhua; Yu, Pubing
    • Source: International Journal of Hypersonics. , v. 1, (3), September 2010, p. 157-172
    • Year: 2010

  109. A Well-Balanced Kinetic Scheme for Gas Dynamic Equations under Gravitational Field
    • Author(s): Xu, Kun; Luo, Jun; Chen, Songze
    • Source: Advances in Applied Mathematics and Mechanics. , v. 2, (2), April 2010, p. 200-210
    • Year: 2010

  110. A high-order gas-kinetic Navier-Stokes flow solver
    • Author(s): Li, Qibing; Xu, Kun; Fu, Song
    • Source: Journal of Computational Physics. , v. 229, (19), September 2010, p. 6715-6731
    • Year: 2010

  111. A unified gas-kinetic scheme for continuum and rarefied flows
    • Author(s): Xu, Kun; Huang, Juan-Chen
    • Source: Journal of Computational Physics. , v. 229, (20), October 2010, p. 7747-7764
    • Year: 2010

  112. GENERALIZED GAS DYNAMIC EQUATIONS WITH MULTIPLE TRANSLATIONAL TEMPERATURES
    • Author(s): Xu, Kun; Guo, Zhaoli
    • Source: MODERN PHYSICS LETTERS B. , v. 23, (3), 2009, JAN 30, p. 237-240
    • Year: 2009

  113. Remapping-free ALE-type kinetic method for flow computations
    • Author(s): Ni, Guoxi; Jiang, Song; Xu, Kun
    • Source: Journal of computational physics. , v. 228, (8), 2009, MAY 1, p. 3154-3171
    • Year: 2009

  114. Numerical Validation of Brenner's Hydrodynamic Model by Force Driven Poiseuille Flow
    • Author(s): Guo, Zhaoli; Xu, Kun
    • Source: Advances in applied mathematics and mechanics. , v. 1, (3), June 2009, p. 391-401
    • Year: 2009

  115. A Discontinuous Galerkin Method Based on a BGK Scheme for the Navier-Stokes Equations on Arbitrary Grids
    • Author(s): Luo, Hong; Luo, Luqing; Xu, Kun
    • Source: Advances in applied mathematics and mechanics. , v. 1, (3), June 2009, p. 301-318
    • Year: 2009

  116. Efficient kinetic schemes for steady and unsteady flow simulations on unstructured meshes
    • Author(s): Ni, Guoxi; Jiang, Song; Xu, Kun
    • Source: Journal of computational physics. , v. 227, (6), 2008, MAR 1, p. 3015-3031
    • Year: 2008

  117. Multiple temperature kinetic model and gas-kinetic method for hypersonic non-equilibrium flow computations
    • Author(s): Xu, Kun; He, Xin; Cai, Chunpei
    • Source: Journal of computational physics. , v. 227, (14), 2008, JUL 1, p. 6779-6794
    • Year: 2008

  118. Modified gas-kinetic scheme for shock structures in argon
    • Author(s): Liao, Wei; Peng, Yan; Luo, Li-Shi; Xu, Kun
    • Source: Progress in computational fluid dynamics. , v. 8, (1-4), 2008, p. 97-108
    • Year: 2008

  119. Numerical study of the unsteady aerodynamics of freely falling plates
    • Author(s): Jin, Changqiu; Xu, Kun
    • Source: Communications in computational physics. , v. 3, (4), 2008, APR, p. 834-851
    • Year: 2008

  120. A DGBGK scheme based on WENO limiters for viscous and inviscid flows
    • Author(s): Ni, Guoxi; Jiang, Song; Xu, Kun
    • Source: Journal of computational physics. , v. 227, (11), 2008, MAY 10, p. 5799-5815
    • Year: 2008

  121. A comparative study of the LBE and GKS methods for 2D near incompressible laminar flows
    • Author(s): Guo, Zhaoli; Liu, Hongwei; Luo, Li-Shi; Xu, Kun
    • Source: Journal of computational physics. , v. 227, (10), 2008, MAY 1, p. 4955-4976
    • Year: 2008

  122. One-dimensional multiple-temperature gas-kinetic Bhatnagar-Gross-Krook scheme for shock wave computation
    • Author(s): Cai, Chunpei; Liu, Danny D.; Xu, Kun
    • Source: AIAA journal. , v. 46, (5), 2008, MAY, p. 1054-1062
    • Year: 2008

  123. A Multiple Temperature Kinetic Model and its Application to Near Continuum Flows
    • Author(s): Xu, Kun; Liu, Hongwei
    • Source: Communications in computational physics. , v. 4, (5), 2008, NOV, p. 1069-1085
    • Year: 2008

  124. A generalized Bhatnagar-Gross-Krook model for nonequilibrium flows
    • Author(s): Xu, Kun
    • Source: Physics of fluids. , v. 20, (2), 2008, FEB, article number 026101
    • Year: 2008

  125. A gas-kinetic discontinuous Galerkin method for viscous flow equations
    • Author(s): Liu, Hongwei; Xu, Kun
    • Source: Journal of Mechanical Science and Technology. , v. 21, (9, Sp. Iss. SI), 2007, SEP, p. 1344-1351
    • Year: 2007

  126. Multiscale gas-kinetic simulation for continuum and near-continuum flows
    • Author(s): Xu, Kun; Liu, Hongwei
    • Source: Physical Review E. , v. 75, (1), January 2007
    • Year: 2007

  127. A three-dimensional multidimensional gas-kinetic scheme for the Navier-Stokes equations under gravitational fields
    • Author(s): Tian, C.T.; Xu, Kun; Chan, Kwinglam; Deng, Licai
    • Source: Journal of computational physics. , v. 226, (2), 2007, OCT 1, p. 2003-2027
    • Year: 2007

  128. High-order kinetic flux vector splitting schemes in general coordinates for ideal quantum gas dynamics
    • Author(s): Yang, Jaw-Yen; Hsieh, Tse-Yang; Shi, Yu-Hsin; Xu, Kun
    • Source: Journal of computational physics. , v. 227, (2), 2007, DEC 10, p. 967-982
    • Year: 2007

  129. Multiple temperature model for near continuum flows
    • Author(s): Xu, Kun; Liu, Hongwei; Jiang, Jianzheng
    • Source: Journal of Mechanical Science and Technology. , v. 21, (9, Sp. Iss. SI), 2007, SEP, p. 1376-1382
    • Year: 2007

  130. A Runge-Kutta discontinuous Galerkin method for viscous flow equations
    • Author(s): Liu, Hongwei; Xu, Kun
    • Source: Journal of computational physics. , v. 224, (2), 2007, JUN 10, p. 1223-1242
    • Year: 2007

  131. A unified moving grid gas-kinetic method in Eulerian space for viscous flow computation
    • Author(s): Jin, Changqiu; Xu, Kun
    • Source: Journal of computational physics. , v. 222, (1), 2007, MAR 1, p. 155-175
    • Year: 2007

  132. Multiple-temperature kinetic model for continuum and near continuum flows
    • Author(s): Xu, Kun; Liu, Hongwei; Jiang, Jianzheng
    • Source: Physics of fluids. , v. 19, (1), 2007, JAN
    • Year: 2007

  133. Gas-kinetic scheme for continuum and near-continuum hypersonic flows
    • Author(s): Liao, Wei; Luot, Li-Shi; Xu, Kun
    • Source: Journal of spacecraft and rockets. , v. 44, (6), 2007, NOV-DEC, p. 1232-1240
    • Year: 2007

  134. 三角形网格下求解二维浅水方程的KFVS格式
    • Author(s): 潘存鴻; 徐昆
    • Source: 水利学报=Journal of Hydraulic Engineering, v. 2006, (07), 2006, p. 858-864
    • Year: 2006

  135. An adaptive grid method for two-dimensional viscous flows
    • Author(s): Jin, Changqiu; Xu, Kun
    • Source: Journal of computational physics. , v. 218, (1), 2006, OCT 10, p. 68-81
    • Year: 2006

  136. The gas-kinetic scheme for shallow water equations* * Project supported by the Hong Kong Research Grant Council (HKUST6102/04E, 6210/05E).
    • Author(s): Xu, Kun
    • Source: Journal of Hydrodynamics. , v. 18, (3 SUPPL.), 2006, p. 73-76
    • Year: 2006

  137. Stability and consistency of kinetic upwinding for advection-diffusion equations
    • Author(s): Torrilhon, Manuel; Xu, Kun
    • Source: IMA journal of numerical analysis. , v. 26, (4), 2006, OCT, p. 686-722
    • Year: 2006

  138. Gas-kinetic scheme for rarefied flow simulation
    • Author(s): Xu, Kun; Josyula, Eswar
    • Source: Mathematics and computers in simulation. , v. 72, (2-6), 2006, SEP 9, p. 253-256
    • Year: 2006

  139. Kinetic flux vector splitting scheme for solving 2-D shallow water equations with triangular mesh
    • Author(s): Pan, Cunhong; Xu, Kun
    • Source: Shuili Xuebao/Journal of Hydraulic Engineering. , v. 37, (7), 2006, p. 858-864
    • Year: 2006

  140. Linear and nonlinear analysis of shallow wakes
    • Author(s): Ghidaoui, Mohamed Salah; Kolyshkin, Andrei A.; Liang, Junhong; Chan, Franky Cathleen; Li, Qiu; Xu, Kun
    • Source: Journal of fluid mechanics. , v. 548, 2006, FEB 10, p. 309-340
    • Year: 2006

  141. Continuum formulation for non-equilibrium shock structure calculation
    • Author(s): Xu, Kun; Josyula, Eswar
    • Source: Communications in computational physics. , v. 1, (3), 2006, JUN, p. 425-448
    • Year: 2006

  142. The numerical study of roll-waves in inclined open channels and solitary wave run-up
    • Author(s): Que, Yin T.; Xu, Kun
    • Source: International journal for numerical methods in fluids. , v. 50, (9), 2006, MAR 30, p. 1003-1027
    • Year: 2006

  143. 动能BGK算法在近连续流模拟中的应用
    • Author(s): 毛枚良; 徐昆; 鄧小剛
    • Source: 空气动力学学报=Acta Aerodynamica Sinica, v. 2005, (03), 2005, p. 317-321
    • Year: 2005

  144. Application of gas-kinetic scheme with kinetic boundary conditions in hypersonic flow
    • Author(s): Li, Qibing; Fu, Song; Xu, Kun
    • Source: AIAA journal. , v. 43, (10), 2005, OCT, p. 2170-2176
    • Year: 2005

  145. Application of kinetic BGK algorithm in simulating near continuum flow
    • Author(s): Mao, Meiliang; Xu, Kun; Deng, Xiaogang
    • Source: Kongqi Donglixue Xuebao/Acta Aerodynamica Sinica. , v. 23, (3), 2005, p. 317-321
    • Year: 2005

  146. A compressible Navier-Stokes flow solver with scalar transport
    • Author(s): Li, Qibing; Fu, Song; Xu, Kun
    • Source: Journal of computational physics. , v. 204, (2), 2005, APR 10, p. 692-714
    • Year: 2005

  147. Multiple translational temperature model and its shock structure solution
    • Author(s): Xu, Kun; Josyula, Eswar
    • Source: Physical Review E. , v. 71, (5), May 2005
    • Year: 2005

  148. A multidimensional gas-kinetic BGK scheme for hypersonic viscous flow
    • Author(s): Xu, Kun; Mao, Meiliang; Tang, Lei
    • Source: Journal of computational physics. , v. 203, (2), 2005, MAR 1, p. 405-421
    • Year: 2005

  149. The application of gas-kinetic BGK scheme in near continuum flow regime
    • Author(s): Mao, Meiliang; Xu, Kun; Deng, Xiaogang
    • Source: Acta Aerodynamica Sinica. , 23, pp. 317-321
    • Year: 2005

  150. A gas-kinetic scheme for shallow-water equations with source terms
    • Author(s): Tang, Huazhong; Tang, Tao; Xu, Kun
    • Source: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND Physik. , v. 55, (3), 2004, MAY, p. 365-382
    • Year: 2004

  151. Nonequilibrium Bhatnagar-Gross-Krook model for nitrogen shock structure
    • Author(s): Xu, Kun; Tang, Lei
    • Source: Physics of fluids. , v. 16, (10), 2004, OCT, p. 3824-3827
    • Year: 2004

  152. The kinetic scheme for the full-Burnett equations
    • Author(s): Ohwada, Taku; Xu, Kun
    • Source: Journal of computational physics. , v. 201, (1), 2004, NOV 20, p. 315-332
    • Year: 2004

  153. Discontinuous Galerkin BGK method for viscous flow equations: One-dimensional systems
    • Author(s): Xu, Kun
    • Source: SIAM journal on scientific computing. , v. 25, (6), 2004, p. 1941-1963
    • Year: 2004

  154. Microchannel flow in the slip regime: gas-kinetic BGK-Burnett solutions
    • Author(s): Xu, Kun; Li, Zhihui
    • Source: Journal of fluid mechanics. , v. 513, 2004, AUG 25, p. 87-110
    • Year: 2004

  155. A Gas-kinectic Scheme for Shallow-water Equations with Source Terms
    • Author(s): Xu, Kun
    • Source: Zeitschrift fur angewandte Mathematik und Physik ZAMP 55 (2004) 365-382, 0044-2275/04/030365-18 DOI 10.1007/s00033-003-1119-7 Birkhaeuser Verlag, Basel.
    • Year: 2004

  156. Lattice Boltzmann method and gas-kinetic BGK scheme in the low-Mach number viscous flow simulations
    • Author(s): Xu, Kun; He, Xiaoyi
    • Source: Journal of computational physics. , v. 190, (1), 2003, SEP 1, p. 100-117
    • Year: 2003

  157. Super-Burnett solutions for Poiseuille flow
    • Author(s): Xu, Kun
    • Source: Physics of fluids. , v. 15, (7), 2003, JUL, p. 2077-2080
    • Year: 2003

  158. Regularization of the Chapman-Enskog expansion and its description of shock structure
    • Author(s): Xu, Kun
    • Source: Physics of Fluids. , v. 14, (4), 2002
    • Year: 2002

  159. A slope-update scheme for compressible flow simulation
    • Author(s): Xu, Kun
    • Source: Journal of computational physics. , v. 178, (1), 2002, MAY 1, p. 252-259
    • Year: 2002

  160. A well-balanced gas-kinetic scheme for the shallow-water equations with source terms
    • Author(s): Xu, Kun
    • Source: Journal of computational physics. , v. 178, (2), 2002, MAY 20, p. 533-562
    • Year: 2002

  161. KFVS method for one-dimensional shallow water equation
    • Author(s): Xu, Kun; Pan, Chunhong
    • Source: Journal of Hydrodynamics (Chinese). , A17(2), 140-147
    • Year: 2002

  162. 一类通矢量分裂方法的保正性研究Ⅰ.显式格式
    • Author(s): 汤华中; 徐昆
    • Source: 計算數學=Mathematica numerca sinica, v. 23, (4), November 2001, p. 469-476
    • Year: 2001

  163. A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method
    • Author(s): Xu, Kun
    • Source: Journal of computational physics. , v. 171, (1), 2001, JUL 20, p. 289-335
    • Year: 2001

  164. A kinetic method for hyperbolic-elliptic equations and its application in two-phase flow
    • Author(s): Xu, Kun
    • Source: Journal of computational physics. , v. 166, (2), 2001, JAN 20, p. 383-399
    • Year: 2001

  165. A Boltzmann-based mesoscopic model for contaminant transport in flow systems
    • Author(s): Deng, Jiaquan; Ghidaoui, Mohamed Salah; Gray, William G.; Xu, Kun
    • Source: Advances in water resources. , v. 24, (5), 2001, MAY, p. 531-550
    • Year: 2001

  166. A Boltzmann based model for open channel flows
    • Author(s): Ghidaoui, Mohamed Salah; Deng, Jiaquan; Gray, William G.; Xu, Kun
    • Source: International journal for numerical methods in fluids. , v. 35, (4), 2001, FEB 28, p. 449-494
    • Year: 2001

  167. Entropy analysis of kinetic flux vector splitting schemes for the compressible Euler equations
    • Author(s): Lui, S.H.; Xu, Kun
    • Source: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND Physik. , v. 52, (1), 2001, JAN, p. 62-78
    • Year: 2001

  168. Dissipative mechanism in Godunov-type schemes
    • Author(s): Xu, Kun; Li, Zuowu
    • Source: International journal for numerical methods in fluids. , v. 37, (1), 2001, SEP 15, p. 1-22
    • Year: 2001

  169. Numerical simulations of resonant oscillations in a tube
    • Author(s): Tang, Huazhong; Cheng, Ping; Xu, Kun
    • Source: Numerical HEAT Transfer PART a-applications. , v. 40, (1), 2001, JUL, p. 37-54
    • Year: 2001

  170. Pseudoparticle representation and positivity analysis of explicit and implicit Steger-Warming FVS schemes
    • Author(s): Tang, Huazhong; Xu, Kun
    • Source: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND Physik. , v. 52, (5), 2001, SEP, p. 847-858
    • Year: 2001

  171. 用BGK格式计算不可压缩流场
    • Author(s): 苏铭德; 徐昆; M. ghidaoui
    • Source: 力學學報=Acta mechanica sinica, v. 32, (6), November 2000, p. 641-650
    • Year: 2000

  172. A high-order gas-kinetic method for multidimensional ideal magnetohydrodynamics
    • Author(s): Tang, Huazhong; Xu, Kun
    • Source: Journal of computational physics. , v. 165, (1), 2000, NOV 20, p. 69-88
    • Year: 2000

  173. A gas-kinetic scheme for reactive flows
    • Author(s): Lian, Yongsheng; Xu, Kun
    • Source: Computers & fluids. , v. 29, (7), 2000, SEP, p. 725-748
    • Year: 2000

  174. A Gas-kinetic Scheme for Multimaterial Flows and its Application in Chemical Reactions
    • Author(s): Lian, Yongsheng; Xu, Kun
    • Source: Journal of Computational Physics. , v. 163, (2), 2000, SEP 20, p. 349-375
    • Year: 2000

  175. Positivity-preserving analysis of explicit and implicit Lax-Friedrichs schemes for compressible Euler equations
    • Author(s): Tang, Huazhong; Xu, Kun
    • Source: Journal of Scientific Computing. , v. 15, (1), 2000, p. 19-28
    • Year: 2000

  176. Unsplitting BGK-type schemes for the shallow water equations
    • Author(s): Xu, Kun
    • Source: International journal of modern physics C. , v. 10, (4), 1999, JUN, p. 505-516
    • Year: 1999

  177. Low-speed flow simulation by the gas-kinetic scheme
    • Author(s): Su, Mingde; Xu, Kun; Ghidaoui, Mohamed Salah
    • Source: Journal of computational physics. , v. 150, (1), 1999, MAR 20, p. 17-39
    • Year: 1999

  178. Gas-kinetic schemes for the compressible Euler equations: Positivity-preserving analysis
    • Author(s): Tang, Tao; Xu, Kun
    • Source: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND Physik. , v. 50, (2), 1999, MAR, p. 258-281
    • Year: 1999

  179. Rayleigh-Bénard simulation using the gas-kinetic Bhatnagar-Gross-Krook scheme in the incompressible limit
    • Author(s): Xu, Kun; Lui, Shiu Hong
    • Source: Physical Review E. , v. 60, (1), July 1999
    • Year: 1999

  180. Gas-kinetic theory-based flux splitting method for ideal magnetohydrodynamics
    • Author(s): Xu, Kun
    • Source: Journal of computational physics. , v. 153, (2), 1999, AUG 10, p. 334-352
    • Year: 1999

  181. Projection dynamics in Godunov-type schemes
    • Author(s): Xu, Kun; Hu, Jishan
    • Source: Journal of computational physics. , v. 142, (2), 1998, MAY 20, p. 412-427
    • Year: 1998

  182. Connection between lattice-Boltzmann equation and beam scheme
    • Author(s): Xu, Kun; Luo, Lishi
    • Source: International journal of modern physics C. , v. 9, (8), 1998, DEC, p. 1177-1187
    • Year: 1998

  183. A gas-kinetic scheme for the Euler equations with heat transfer
    • Author(s): Xu, Kun
    • Source: SIAM journal on scientific computing. , v. 20, (4), 1998, APR 7, p. 1317-1335
    • Year: 1998

  184. BGK-based Scheme for Multicomponent Flow Calculations
    • Author(s): Xu, Kun
    • Source: Journal of Computational Physics. , v. 134, (1), June 1997, p. 122-133
    • Year: 1997

Book   

  1. A Unified Computational Fluid Dynamics Framework from Rarefied to Continuum Regimes
    • Author(s): Xu, Kun
    • Source: A Unified Computational Fluid Dynamics Framework from Rarefied to Continuum Regimes / by Kun Xu. UK: Cambridge University Press, 2021. Book Series: Elements in Aerospace Engineering
    • Year: 2021

  2. Direct Modeling for Computational Fluid Dynamics: construction and application of unified gas-kinetic schemes
    • Author(s): Xu, Kun
    • Source: Direct Modeling for Computational Fluid Dynamics: Construction and Application of Unified Gas-Kinetic Schemes. , / Xu, Kun. Singapore: World Scientific Publishing, 2015
    • Year: 2015

  3. Computational Fluid Dynamics Based on the Unified Coordinates
    • Author(s): Hui, Wai How; Xu, Kun
    • Source: Computational Fluid Dynamics Based on the Unified Coordinates.
    • Year: 2012

Book chapter   

  1. Unified Treatment of Rarefied and Continuum Fluid Flows
    • Author(s): Xu, Kun
    • Source: Encyclopedia of Aerospace Engineering. , Editors-in-chief: Richard Blockley, Wei Shyy. Chichester, West Sussex, U.K. : Wiley, 2010
    • Year: 2012

Conference paper   

  1. Fifth-order finite-volume weno on cylindrical grids
    • Author(s): Shadab, Mohammad Afzal MAE; Ji, Xing; Xu, Kun
    • Source: Lecture Notes in Computational Science and Engineering, v. 134, 12 August 2020, p. 637-648
    • Year: 2020

  2. Compact and Three-dimensional Extension of Two-stage Fourth-order Gas-kinetic Scheme
    • Author(s): Ji, Xing ; Pan, L.; Xu, Kun
    • Source: Proceedings of 10th International Conference on Computational Fluid Dynamics (ICCFD10), ICCFD 2018, July 2018, article number ICCFD10-108
    • Year: 2018

  3. Application of Unified Gas-Kinetic Scheme for Hypersonic Non-Equilibrium Flow
    • Author(s): Wang, Zhao; Yan, Hong; Li, Qibing; Xu, Kun
    • Source: 21st AIAA International Space Planes and Hypersonics Technologies Conference, Hypersonics 2017. , 2017
    • Year: 2017

  4. Validation of Gas-Kinetic Scheme Solver for the Compressible and Incompressible Flows Simulation
    • Author(s): Liu, Hualin; Guo, Zhongzhou; Chen, Weifang; Xu, Kun
    • Source: 21st AIAA International Space Planes and Hypersonics Technologies Conference, Hypersonics 2017. , 2017
    • Year: 2017

  5. A high-order moving mesh gas-kinetic scheme for three-dimensional flows
    • Author(s): Pan, Liang; Xu, Kun
    • Year: 2014

  6. Study of Vacuum Gas Flows with the Unified Gas-Kinetic Scheme
    • Author(s): Luo, Xueli ; Wang, Ruijie; Day, Christian ; Xu, Kun
    • Source: AIP Conference Proceedings. , v. 1628, (1), December 2014, Volume title: Proceedings of the 29th International Symposium on Rarefied Gas Dynamics
    • Year: 2014

  7. Unified Gas-kinetic Scheme for Multi-species Non-equilibrium Flow
    • Author(s): Wang, Ruijie PHYS; Xu, Kun
    • Source: AIP Conference Proceedings. , v. 1628, (1), February 2015, p. 970-975
    • Year: 2014

  8. A Cartesian Grid-Based Unified Gas Kinetic Scheme
    • Author(s): Chen, Songze ; Xu, Kun
    • Source: AIP Conference Proceedings. , v. 1628, December 2014, p. 995-1002
    • Year: 2014

  9. Aspect Ratio Effect on Flow Structure around Rotating Rectangular Wings
    • Author(s): Fu, Jujiang; Pan, Liang; Qiu, Huihe MAE; Xu, Kun ; Shyy, Wei MAE
    • Year: 2014

  10. A Unified Gas-kinetic Scheme for Continuum and Rarefied Flows
    • Author(s): Xu, Kun; Huang, J.C.
    • Source: AIP Conference Proceedings. , v. 1333, May 2011, p. 525-530
    • Year: 2011

  11. Numerical simulation of hypersonic transitional flows by means of a kinetic node-pair approach
    • Author(s): Fossati, Marco; Vigevano, Luigi; Xu, Kun
    • Source: 17th AIAA International Space Planes and Hypersonic Systems and Technologies Conference. , The American Institute of Aeronautics and Astronautics, 2011
    • Year: 2011

  12. A New High-Order Multidimensional Scheme
    • Author(s): Li, Qibing; Xu, Kun; Fu, Song
    • Source: Computational Fluid Dynamics 2010. , Editor: Alexander Kuzmin. Berlin, Heidelberg : Springer-Verlag, 2011, p. 629-635
    • Year: 2011

  13. A Symplectic-preserving Gas-kinetic Scheme for Hydrodynamic Equations under external forcing Field
    • Author(s): Luo, Jun; Xu, Kun
    • Source: AIP Conference Proceedings. , v. 1333, May 2011, p. 916-921
    • Year: 2011

  14. A High-order Gas-Kinetic Navier-Stokes Flow Solver
    • Author(s): Li, Qibing; Xu, Kun
    • Source: Proceedings 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition. , American Institute of Aeronautics and Astronautics, 2010
    • Year: 2010

  15. A Multiple Temperature Kinetic Model and Its application to Micro-scale Gas Flow Simulations
    • Author(s): Liu, Hongwei; Xu, Kun ; Zhu, Taishan MAE; Ye, Wenjing MAE
    • Year: 2010

  16. Generalized gas dynamic equations
    • Author(s): Xu, Kun; Guo, Zhaoli
    • Source: 47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition. , 2009
    • Year: 2009

  17. Development of a discontinuous Galerkin method for computational fluid dynamics
    • Author(s): Lno, Hong; Luo, Luqing; Xu, Kun
    • Source: 47th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition. , 2009
    • Year: 2009

  18. Extended gas dynamic equations with multiple translational temperature
    • Author(s): Xu, Kun; Guo, Zhaoli
    • Source: AIP Conference Proceedings. , v. 1084, 2009, p. 69-74
    • Year: 2009

  19. A discontinuous galerkin method based on a gas kinetic scheme for the navier-stokes equations on arbitrary grids
    • Author(s): Luo, Hong; Xu, Kun
    • Source: Computational Fluid Dynamics 2008. , 2009, p. 423-428
    • Year: 2009

  20. A BGK-based discontinuous Galerkin method for the Navier-Stokes equations on arbitrary grids
    • Author(s): Luo, Hong; Xu, Kun
    • Source: 46th AIAA Aerospace Sciences Meeting and Exhibit. , 2008
    • Year: 2008

  21. Multiple temperature kinetic model for near continuum flows
    • Author(s): Xu, Kun; Liu, Hongwei
    • Source: 46th AIAA Aerospace Sciences Meeting and Exhibit. , 7-10, Jan 2008
    • Year: 2008

  22. Development of a 2D/AXI kinetic BGK scheme for hypersonic nonequilibrium flow computations
    • Author(s): Cai, Chunpei; Liu, Danny D.; Xu, Kun
    • Source: Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting. , v. 13, 2007, p. 8863-8873
    • Year: 2007

  23. Non-equilibrium Shock Structure Computation with a Kinetic BGK Scheme
    • Author(s): Cai, Chunpei; Liu, Danny D.; Xu, Kun
    • Source: Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting. , v. 11, 2007, p. 7368-7380
    • Year: 2007

  24. Gas-kinetic BGK Scheme for three dimensional magnetohydrodynamics
    • Author(s): Cai, Chunpei; Xu, Kun
    • Source: Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting. , v. 24, 2007, p. 16989-17006
    • Year: 2007

  25. Multiple temperature kinetic model for non-equilibrium flow computations
    • Author(s): Xu, Kun; He, Xin; Cai, Chunpei
    • Source: Collection of Technical Papers - 39th AIAA Thermophysics Conference. , v. 2, 2007, p. 1408-1425
    • Year: 2007

  26. Multiple temperature kinetic model for continuum and near continuum flows
    • Author(s): Xu, Kun; Liu, Hongwei; Jiang, Jianzheng
    • Source: Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting. , v. 11, 2007, p. 7497-7510
    • Year: 2007

  27. Gas kinetic scheme for continuum and near-continuum hypersonic flows
    • Author(s): Liao, Wei; Luo, Lishi; Xu, Kun
    • Source: Collection of Technical Papers - 45th AIAA Aerospace Sciences Meeting. , v. 2, 2007, p. 1355-1365
    • Year: 2007

  28. A one-dimensional multiple-temperature Gas-Kinetic BGK scheme for shock wave computation
    • Author(s): Cai, Chunpei; Liu, Danny; Xu, Kun
    • Source: A Collection of Technical Papers - 14th AIAA/AHI International Space Planes and Hypersonic Systems and Technologies Conference. , v. 1, 2006, p. 1-13
    • Year: 2006

  29. A two-dimensional GasKinetic BGK scheme for hypersonic thermal non-equilibrium flow computations
    • Author(s): Cai, Chunpei; Liu, Danny; Xu, Kun
    • Source: A Collection of Technical Papers - 14th AIAA/AHI International Space Planes and Hypersonic Systems and Technologies Conference. , v. 1, 2006, p. 548-558
    • Year: 2006

  30. Gas-kinetic model for Navier-Stokes solutions with multiple translational temperature
    • Author(s): Xu, Kun; Joysula, Eswar
    • Source: 35th AIAA Fluid Dynamics Conference and Exhibit, Canada. , June
    • Year: 2005

  31. Non-equilibrium relaxation in high temperature gas flows
    • Author(s): Josyula, Eswar; Xu, Kun
    • Source: 3rd MIT Conference on Computational Fluid and Solid Mechanics, Boston. , June
    • Year: 2005

  32. Testing continuum and non-continuum descriptions in high speed flows
    • Author(s): Josyula, Eswar; Xu, Kun; Wadsworth, Dean C.
    • Source: AIP Conference Proceedings. , v. 762, 2005, p. 1217-1222
    • Year: 2005

  33. Unified gas-kinetic computational algorithm for continuum and rarefied flows
    • Author(s): Tang, Lei; Xu, Kun
    • Source: AIAA Paper. , 2004, p. 7655-7666
    • Year: 2004

  34. Gas-kinetic BGK scheme for hypersonic viscous flow
    • Author(s): Xu, Kun; Mao, Mei-Liang
    • Source: Computational Fluid Dynamics 2004, Proceedings. , 2004, p. 183-188
    • Year: 2004

  35. Nonequilibrium Relaxation in High Speed Flows
    • Author(s): Josyula, Eswar; Bailey, W.F.; Xu, Kun
    • Source: 37th AIAA Thermophysics Conference, Portland, Oregon. , Paper 2004-2468, June 28-July 1
    • Year: 2004

  36. Kinematic and dynamic dissipation in shock capturing schemes
    • Author(s): Xu, Kun
    • Source: COMPUTATIONAL FLUID AND SOLID MECHANICS 2003, VOLS 1 AND 2, PROCEEDINGS. , 2003, p. 1201-1204
    • Year: 2003

  37. Laminar Hypersonic Viscous Flow Calculations using Gas-kinetic BGK Scheme
    • Author(s): Xu, Kun; Mao, M.L.
    • Source: National Fluid Mechanics Workshop for Young Scientists, Xi'an. , November 8-11
    • Year: 2003

  38. Gas-kinetic schemes for fluid simulations
    • Author(s): Xu, Kun
    • Source: COMPUTATIONAL FLUID DYNAMICS 2000. , 2001, p. 14-27
    • Year: 2001

  39. Dissipative mechanism in Godunov method
    • Author(s): Xu, Kun
    • Source: COMPUTATIONAL FLUID DYNAMICS FOR THE 21ST CENTURY, PROCEEDINGS. , v. 78, 2001, p. 309-321
    • Year: 2001

  40. Does Perfect Riemann Solver Exist?
    • Author(s): Xu, Kun
    • Source: 14th Computational Fluid Dynamics Conference. , 1999, p. 771-779
    • Year: 1999

  41. Gas-kinetic Flux Splitting Method for Ideal Magnetohydrodynamics
    • Author(s): Xu, Kun
    • Source: 14th Computational Fluid Dynamics Conference. , 1999, p. 626-635
    • Year: 1999

  42. A BGK Solver for Multicomponent Euler Equations
    • Author(s): Xu, Kun
    • Source: 13th Computational Fluid Dynamics Conference. , 1997, p. 1206-1215
    • Year: 1997

  43. An Accurate LED-BGK Solver on Unstructured Adaptive Meshes
    • Author(s): Kim, Chong A.; Jameson, Antony; Martinelli, Luigi; Xu, Kun
    • Source: 35th Aerospace Sciences Meeting and Exhibit. , 1997, Article number AIAA
    • Year: 1997

Other   

  1. Preface: Special Issue on Progress in Fluid Dynamics and Simulation (PFDS)
    • Author(s): Xu, Kun; Yang, Jaw-Yen
    • Source: Communications in Computational Physics. , v. 18, (4), October 2015, p. i-ii
    • Year: 2015

  2. Preface: Special Issue for the 8th ACFD Preface
    • Author(s): Hsu, Chin Tsau; Qiu, Huihe; Xu, Kun
    • Source: Communications in Computational Physics. , v. 11, (4), April 2012, p. iii-iv
    • Year: 2012