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## Xu, Kun

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 Author ID: xu.kun Published as: Xu, K.; Xu, Kun; Xue, K.; Xue, Kun External Links: ORCID
 Documents Indexed: 143 Publications since 1990, including 2 Books
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#### Co-Authors

 15 single-authored 9 Jiang, Song 9 Pan, Liang 7 Li, Qibing 7 Shyy, Wei 6 Sun, Wenjun 5 Guo, Zhaoli 5 Liu, Chang 5 Liu, Hongwei 5 Tang, Huazhong 4 Cai, Qingdong 4 Fu, Song 4 Huang, Juan-Chen 4 Luo, Jun 3 Hu, Shimin 3 Jameson, Antony 3 Ji, Xing 3 Ma, Yanyuan 3 Martinelli, Luigi 3 Ni, Guoxi 3 Ren, Xiaodong 3 Wu, Jian 3 Xiao, Tianbai 3 Xuan, Lijun 3 Yu, Pubing 3 Zhao, Fengxiang 3 Zhong, Chengwen 3 Zhu, Yajun 2 Cai, Chunpei 2 Cao, Guiyu 2 Chen, Songze 2 Ghidaoui, Mohamed S. 2 Jin, Changqiu 2 Josyula, Eswar 2 Kim, Chongam 2 Li, Jiequan 2 Li, Zhihui 2 Lian, Yongsheng 2 Luo, Lishi 2 Martin, Ralph R. 2 Ohwada, Taku 2 Prendergast, Kevin H. 2 Tang, Lei 2 Tang, Tao 2 Wang, Zhao 2 Wu, Zhensen 2 Xu, Bin 2 Yang, Jaw-Yen 2 Zhu, Lianhua 1 Adachi, Ryo 1 Balsara, Dinshaw S. 1 Cao, Yan-Pei 1 Chan, Kwing L. 1 Chen, Liwei 1 Deng, Jiqin 1 Deng, Lichi 1 Dong, Zhao 1 Feng, Yansong 1 Ge, Tingwu 1 Germanou, Lefki 1 Gray, William G. 1 Gu, Chunwei 1 Gu, Xiaojun 1 Hall, Peter J. 1 He, Xiaoyi 1 He, Xin 1 Ho, Minh Tuan 1 Hsieh, Tse-Yang 1 Hsu, Chintsau 1 Hu, Jishan 1 Hu, Jiusong 1 Huang, Feiyue 1 Huang, Hao-Zhi 1 Hui, Wai How 1 Jiang, Jianzheng 1 Li, Shiyi 1 Li, Shu 1 Li, Zuowu 1 Liao, Wei 1 Lin, Jintong 1 Liu, Feng 1 Liu, Hongli 1 Liu, Na 1 Liu, Sha 1 Lu, Dan 1 Lui, Shiu Hong 1 Lv, Nengchao 1 Ma, Gang 1 Ma, Li-Qian 1 Ma, Ziji 1 Mao, Meiliang 1 Peng, Yan 1 Qiu, Huihe 1 Que, Yin-Tik 1 Shadab, Mohammad Afzal 1 Shi, Yu-Hsin 1 Su, Mingde 1 Sun, Quanhua 1 Tian, C. T. 1 Torrilhon, Manuel 1 Wang, Liqun ...and 23 more Co-Authors
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#### Serials

 57 Journal of Computational Physics 9 Communications in Computational Physics 8 Computers and Fluids 5 Physics of Fluids 4 International Journal for Numerical Methods in Fluids 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Acta Mechanica Sinica 3 SIAM Journal on Scientific Computing 2 Journal of Fluid Mechanics 2 Journal of Scientific Computing 2 Science in China. Series E 2 IEEE Transactions on Image Processing 1 Modern Physics Letters B 1 IMA Journal of Applied Mathematics 1 IMA Journal of Numerical Analysis 1 Journal of Statistical Physics 1 Scandinavian Journal of Statistics 1 Kybernetes 1 Mathematics and Computers in Simulation 1 Journal of Computational Mathematics 1 ACM Transactions on Graphics 1 Acta Scientiarum Naturalium Universitatis Pekinensis 1 Statistica Sinica 1 Mathematical Problems in Engineering 1 International Journal of Computational Fluid Dynamics 1 Journal of Hunan University. Natural Sciences 1 Tsinghua Science and Technology 1 International Journal of Modern Physics C 1 Journal of Modern Optics 1 International Journal of Numerical Analysis and Modeling 1 Progress in Computational Fluid Dynamics 1 Electronic Journal of Statistics 1 Numerical Mathematics: Theory, Methods and Applications 1 Advances in Computational Fluid Dynamics 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Communications on Applied Mathematics and Computation
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#### Fields

 113 Fluid mechanics (76-XX) 31 Numerical analysis (65-XX) 26 Statistical mechanics, structure of matter (82-XX) 8 Partial differential equations (35-XX) 6 Classical thermodynamics, heat transfer (80-XX) 4 Astronomy and astrophysics (85-XX) 3 General and overarching topics; collections (00-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

110 Publications have been cited 1,401 times in 532 Documents Cited by Year
A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method. Zbl 1058.76056
Xu, Kun
2001
A unified gas-kinetic scheme for continuum and rarefied flows. Zbl 1276.76057
Xu, Kun; Huang, Juan-Chen
2010
Numerical hydrodynamics from gas-kinetic theory. Zbl 0791.76059
Prendergast, Kevin H.; Xu, Kun
1993
A multidimensional gas-kinetic BGK scheme for hypersonic viscous flow. Zbl 1143.76553
Xu, Kun; Mao, Meiliang; Tang, Lei
2005
A well-balanced gas-kinetic scheme for the shallow-water equations with source terms. Zbl 1017.76071
Xu, Kun
2002
A unified gas-kinetic scheme for continuum and rarefied flows. II: Multi-dimensional cases. Zbl 1373.76216
Huang, Juan-Chen; Xu, Kun; Yu, Pubing
2012
Numerical Navier-Stokes solutions from gas kinetic theory. Zbl 0810.76059
Xu, Kun; Prendergast, Kevin H.
1994
Gas-kinetic finite volume methods, flux-vector splitting, and artificial diffusion. Zbl 0845.76078
Xu, Kun; Martinelli, Luigi; Jameson, Antony
1995
A high-order gas-kinetic Navier-Stokes flow solver. Zbl 1425.76166
Li, Qibing; Xu, Kun; Fu, Song
2010
Microchannel flow in the slip regime: gas-kinetic BGK-Burnett solutions. Zbl 1107.76070
Xu, Kun; Li, Zhihui
2004
A high-order gas-kinetic method for multidimensional ideal magnetohydrodynamics. Zbl 0995.76066
Tang, Huazhong; Xu, Kun
2000
Direct modeling for computational fluid dynamics. Construction and application of unified gas-kinetic schemes. Zbl 1309.76003
Xu, Kun
2015
Lattice Boltzmann method and gas-kinetic BGK scheme in the low-Mach number viscous flow simulations. Zbl 1236.76052
Xu, Kun; He, Xiaoyi
2003
The kinetic scheme for the full-Burnett equations. Zbl 1195.76354
2004
A unified gas-kinetic scheme for continuum and rarefied flows. III: Microflow simulations. Zbl 1373.76217
Huang, Juan-Chen; Xu, Kun; Yu, Pubing
2013
A gas-kinetic scheme for multimaterial flows and its application in chemical reactions. Zbl 0994.76082
Lian, Y. S.; Xu, K.
2000
BGK-based scheme for multicomponent flow calculations. Zbl 0882.76060
Xu, Kun
1997
A well-balanced symplecticity-preserving gas-kinetic scheme for hydrodynamic equations under gravitational field. Zbl 1232.76044
Luo, Jun; Xu, Kun; Liu, Na
2011
Yang-Baxterization of braid group representations. Zbl 0716.57007
Cheng, Y.; Ge, M. L.; Xue, K.
1991
Implicit unified gas-kinetic scheme for steady state solutions in all flow regimes. Zbl 1349.76791
Zhu, Yajun; Zhong, Chengwen; Xu, Kun
2016
A three-dimensional multidimensional gas-kinetic scheme for the Navier-Stokes equations under gravitational fields. Zbl 1388.76313
Tian, C. T.; Xu, K.; Chan, K. L.; Deng, L. C.
2007
A Runge-Kutta discontinuous Galerkin method for viscous flow equations. Zbl 1123.76053
Liu, Hongwei; Xu, Kun
2007
Dissipative mechanism in Godunov-type schemes. Zbl 1002.76075
Xu, Kun; Li, Zuowu
2001
A unified gas-kinetic scheme for continuum and rarefied flows. IV: Full Boltzmann and model equations. Zbl 1349.82055
Liu, Chang; Xu, Kun; Sun, Quanhua; Cai, Qingdong
2016
A comparative study of an asymptotic preserving scheme and unified gas-kinetic scheme in continuum flow limit. Zbl 1351.76230
Chen, Songze; Xu, Kun
2015
Gas-kinetic theory-based flux splitting method for ideal magnetohydrodynamics. Zbl 0946.76067
Xu, Kun
1999
An efficient and accurate two-stage fourth-order gas-kinetic scheme for the Euler and Navier-Stokes equations. Zbl 1373.76032
Pan, Liang; Xu, Kun; Li, Qibing; Li, Jiequan
2016
Super-Burnett solutions for Poiseuille flow. Zbl 1186.76579
Xu, Kun
2003
Low-speed flow simulation by the gas-kinetic scheme. Zbl 0935.76070
Su, Mingde; Xu, Kun; Ghidaoui, M. S.
1999
An asymptotic preserving unified gas kinetic scheme for gray radiative transfer equations. Zbl 1351.76186
Sun, Wenjun; Jiang, Song; Xu, Kun
2015
A comparative study of the LBE and GKS methods for 2D near incompressible laminar flows. Zbl 1388.76291
Guo, Zhaoli; Liu, Hongwei; Luo, Li-Shi; Xu, Kun
2008
Gas-kinetic schemes for the compressible Euler equations: Positivity-preserving analysis. Zbl 0958.76080
Tang, Tao; Xu, Kun
1999
A gas-kinetic scheme for shallow-water equations with source terms. Zbl 1142.76457
Tang, Huazhong; Tang, Tao; Xu, Kun
2004
Discrete unified gas kinetic scheme on unstructured meshes. Zbl 1390.76819
Zhu, Lianhua; Guo, Zhaoli; Xu, Kun
2016
Comparison of the generalized Riemann solver and the gas-kinetic scheme for inviscid compressible flow simulations. Zbl 1416.76250
Li, Jiequan; Li, Qibing; Xu, Kun
2011
A unified moving grid gas-kinetic method in Eulerian space for viscous flow computation. Zbl 1216.76046
Jin, Changqiu; Xu, Kun
2007
A comparative study of LBE and DUGKS methods for nearly incompressible flows. Zbl 1373.76273
Wang, Peng; Zhu, Lianhua; Guo, Zhaoli; Xu, Kun
2015
An improved unified gas-kinetic scheme and the study of shock structures. Zbl 1276.76063
Xu, Kun; Huang, Juan-Chen
2011
A compressible Navier-Stokes flow solver with scalar transport. Zbl 1329.76310
Li, Qibing; Fu, Song; Xu, Kun
2005
Projection dynamics in Godunov-type schemes. Zbl 0932.76059
Xu, Kun; Hu, Jishan
1998
Multiple temperature kinetic model and gas-kinetic method for hypersonic non-equilibrium flow computations. Zbl 1338.76104
Xu, Kun; He, Xin; Cai, Chunpei
2008
Multiple-temperature kinetic model for continuum and near continuum flows. Zbl 1146.76566
Xu, Kun; Liu, Hongwei; Jiang, Jianzheng
2007
Discontinuous Galerkin BGK method for viscous flow equations: One-dimensional systems. Zbl 1133.65309
Xu, Kun
2004
An asymptotic preserving unified gas kinetic scheme for frequency-dependent radiative transfer equations. Zbl 1349.76735
Sun, Wenjun; Jiang, Song; Xu, Kun; Li, Shu
2015
Unified gas-kinetic scheme for diatomic molecular simulations in all flow regimes. Zbl 1349.76786
Liu, Sha; Yu, Pubing; Xu, Kun; Zhong, Chengwen
2014
Remapping-free ALE-type kinetic method for flow computations. Zbl 1282.76155
Ni, Guoxi; Jiang, Song; Xu, Kun
2009
BGK-based schemes for the simulation of compressible flow. Zbl 0896.76076
Xu, K.; Kim, C.; Martinelli, L.; Jameson, A.
1996
A multi-dimensional high-order discontinuous Galerkin method based on gas kinetic theory for viscous flow computations. Zbl 1349.65479
Ren, Xiaodong; Xu, Kun; Shyy, Wei; Gu, Chunwei
2015
A DGBGK scheme based on WENO limiters for viscous and inviscid flows. Zbl 1220.76044
Ni, Guoxi; Jiang, Song; Xu, Kun
2008
A Boltzmann based model for open channel flows. Zbl 1013.76053
Ghidaoui, M. S.; Deng, J. Q.; Gray, W. G.; Xu, K.
2001
A third-order compact gas-kinetic scheme on unstructured meshes for compressible Navier-Stokes solutions. Zbl 1349.76517
Pan, Liang; Xu, Kun
2016
High-order kinetic flux vector splitting schemes in general coordinates for ideal quantum gas dynamics. Zbl 1388.82005
Yang, Jaw-Yen; Hsieh, Tse-Yang; Shi, Yu-Hsin; Xu, Kun
2007
Regularization of the Chapman-Enskog expansion and its description of shock structure. Zbl 1185.76405
Xu, Kun
2002
On the apparent permeability of porous media in rarefied gas flows. Zbl 1383.76459
Wu, Lei; Ho, Minh Tuan; Germanou, Lefki; Gu, Xiao-Jun; Liu, Chang; Xu, Kun; Zhang, Yonghao
2017
A compact third-order gas-kinetic scheme for compressible Euler and Navier-Stokes equations. Zbl 1373.76184
Pan, Liang; Xu, Kun
2015
Comparison of fifth-order WENO scheme and finite volume WENO-gas-kinetic scheme for inviscid and viscous flow simulation. Zbl 1388.65061
Luo, Jun; Xuan, Lijun; Xu, Kun
2013
Stability and consistency of kinetic upwinding for advection-diffusion equations. Zbl 1148.76041
Torrilhon, Manuel; Xu, Kun
2006
Entropy analysis of kinetic flux vector splitting schemes for the compressible Euler equations. Zbl 0989.76052
Lui, Shiu Hong; Xu, Kun
2001
A gas-kinetic scheme for reactive flows. Zbl 0977.76072
Lian, Yongsheng; Xu, Kun
2000
A compact fourth-order gas-kinetic scheme for the Euler and Navier-Stokes equations. Zbl 1415.76470
Ji, Xing; Pan, Liang; Shyy, Wei; Xu, Kun
2018
A family of high-order gas-kinetic schemes and its comparison with Riemann solver based high-order methods. Zbl 1380.76061
Ji, Xing; Zhao, Fengxiang; Shyy, Wei; Xu, Kun
2018
Direct modeling for computational fluid dynamics. Zbl 1346.76064
Xu, Kun
2015
Efficient kinetic schemes for steady and unsteady flow simulations on unstructured meshes. Zbl 1255.76095
Ni, Guoxi; Jiang, Song; Xu, Kun
2008
Continuum formulation for non-equilibrium shock structure calculation. Zbl 1115.76345
Xu, K.; Josyula, E.
2006
Nonequilibrium bhatnagar-Gross-krook model for nitrogen shock structure. Zbl 1187.76574
Xu, Kun; Tang, Lei
2004
A well-balanced unified gas-kinetic scheme for multiscale flow transport under gravitational field. Zbl 1378.76099
Xiao, Tianbai; Cai, Qingdong; Xu, Kun
2017
A multidimensional unified gas-kinetic scheme for radiative transfer equations on unstructured mesh. Zbl 1375.76137
Sun, Wenjun; Jiang, Song; Xu, Kun
2017
On the remedy against shock anomalies in kinetic schemes. Zbl 1349.76722
2013
A new gas-kinetic scheme based on analytical solutions of the BGK equation. Zbl 1284.76312
Xuan, Li-Jun; Xu, Kun
2013
A generalized Bhatnagar-Gross-Krook model for nonequilibrium flows. Zbl 1182.76835
Xu, Kun
2008
An adaptive grid method for two-dimensional viscous flows. Zbl 1158.76417
Jin, Changqiu; Xu, Kun
2006
Positivity-preserving analysis of explicit and implicit Lax-Friedrichs schemes for compressible Euler equations. Zbl 0987.76064
Tang, Huazhong; Xu, Kun
2000
Analysis and implementation of the gas-kinetic BGK scheme for computational gas dynamics. Zbl 0883.76056
Kim, Chongam; Xu, Kun; Martinelli, Luigi; Jameson, Antony
1997
Optimal placement and gains of sensors and actuators for feedback control. Zbl 0820.73056
Xu, K.; Warnitchai, P.; Igusa, T.
1994
An asymptotic preserving implicit unified gas kinetic scheme for frequency-dependent radiative transfer equations. Zbl 1410.82022
Sun, Wenjun; Jiang, Song; Xu, Kun
2018
An efficient high-order finite difference gas-kinetic scheme for the Euler and Navier-Stokes equations. Zbl 1390.76638
Xuan, Li-Jun; Xu, Kun
2018
Simplification of the flux function for a high-order gas-kinetic evolution model. Zbl 1375.76156
Zhou, Guangzhao; Xu, Kun; Liu, Feng
2017
Cartesian grid method for gas kinetic scheme on irregular geometries. Zbl 1373.76229
Chen, Songze; Xu, Kun; Li, Zhihui
2016
A multi-dimensional high-order DG-ALE method based on gas-kinetic theory with application to oscillating bodies. Zbl 1349.82111
Ren, Xiaodong; Xu, Kun; Shyy, Wei
2016
Generalized coordinate transformation and gas-kinetic scheme. Zbl 1351.76246
Pan, Liang; Xu, Kun
2015
Bi-level programming based contra flow optimization for evacuation events. Zbl 1217.90039
Lv, Nengchao; Yan, Xinping; Xu, Kun; Wu, Chaozhong
2010
A multiple temperature kinetic model and its application to near continuum flows. Zbl 1364.76202
Xu, Kun; Liu, Hongwei
2008
Crack propagation analysis with Galerkin boundary element method. Zbl 1130.74474
Xu, K.; Lie, S. T.; Cen, Z.
2004
A slope-update scheme for compressible flow simulation. Zbl 1031.76036
Xu, Kun
2002
Pseudoparticle representation and positivity analysis of explicit and implicit Steger-Warming FVS schemes. Zbl 1004.76072
Tang, Hua-Zhong; Xu, Kun
2001
A kinetic method for hyperbolic-elliptic equations and its application in two-phase flow. Zbl 0990.76054
Xu, K.
2001
A gas-kinetic scheme for the Euler equations with heat transfer. Zbl 0959.76064
Xu, Kun
1999
A new class of gas-kinetic relaxation schemes for the compressible Euler equations. Zbl 1106.82364
Xu, Kun
1995
Vibration control using multiple tuned mass dampers. Zbl 1147.70319
Igusa, T.; Xu, K.
1994
Extended state model and group approach to new polynomials. Zbl 0711.57007
Ge, M. L.; Li, Y. Q.; Xue, K.
1990
Three dimensional high-order gas-kinetic scheme for supersonic isotropic turbulence. I: Criterion for direct numerical simulation. Zbl 07127227
Cao, Guiyu; Pan, Liang; Xu, Kun
2019
Unified gas-kinetic scheme for diatomic molecular flow with translational, rotational, and vibrational modes. Zbl 1380.76071
Wang, Zhao; Yan, Hong; Li, Qibing; Xu, Kun
2017
A third-order gas-kinetic scheme for three-dimensional inviscid and viscous flow computations. Zbl 1390.76753
Pan, Liang; Xu, Kun
2015
The study of sound wave propagation in rarefied gases using unified gas-kinetic scheme. Zbl 1293.76117
Wang, Rui-Jie; Xu, Kun
2012
Gas-kinetic BGK scheme for three dimensional magnetohydrodynamics. Zbl 1228.76111
Tang, Huazhong; Xu, Kun; Cai, Chunpei
2010
Generalized gas dynamic equations with multiple translational temperatures. Zbl 1173.76044
Xu, Kun; Guo, Zhaoli
2009
Comment on “Development of an improved gas-kinetic BGK scheme for inviscid and viscous flows”. Zbl 1065.76570
Xu, Kun
2001
New solutions of the Yang-Baxter equation and their Yang-Baxterization. Zbl 0736.17011
Couture, M.; Cheng, Y.; Ge, M. L.; Xue, K.
1991
High-order gas-kinetic scheme with three-dimensional WENO reconstruction for the Euler and Navier-Stokes solutions. Zbl 07157296
Pan, Liang; Xu, Kun
2020
Fifth order finite volume WENO in general orthogonally-curvilinear coordinates. Zbl 07083220
2019
High-order gas-kinetic scheme with three-dimensional WENO reconstruction for the Euler and Navier-Stokes solutions. Zbl 07157296
Pan, Liang; Xu, Kun
2020
Three dimensional high-order gas-kinetic scheme for supersonic isotropic turbulence. I: Criterion for direct numerical simulation. Zbl 07127227
Cao, Guiyu; Pan, Liang; Xu, Kun
2019
Fifth order finite volume WENO in general orthogonally-curvilinear coordinates. Zbl 07083220
2019
A compact fourth-order gas-kinetic scheme for the Euler and Navier-Stokes equations. Zbl 1415.76470
Ji, Xing; Pan, Liang; Shyy, Wei; Xu, Kun
2018
A family of high-order gas-kinetic schemes and its comparison with Riemann solver based high-order methods. Zbl 1380.76061
Ji, Xing; Zhao, Fengxiang; Shyy, Wei; Xu, Kun
2018
An asymptotic preserving implicit unified gas kinetic scheme for frequency-dependent radiative transfer equations. Zbl 1410.82022
Sun, Wenjun; Jiang, Song; Xu, Kun
2018
An efficient high-order finite difference gas-kinetic scheme for the Euler and Navier-Stokes equations. Zbl 1390.76638
Xuan, Li-Jun; Xu, Kun
2018
On the apparent permeability of porous media in rarefied gas flows. Zbl 1383.76459
Wu, Lei; Ho, Minh Tuan; Germanou, Lefki; Gu, Xiao-Jun; Liu, Chang; Xu, Kun; Zhang, Yonghao
2017
A well-balanced unified gas-kinetic scheme for multiscale flow transport under gravitational field. Zbl 1378.76099
Xiao, Tianbai; Cai, Qingdong; Xu, Kun
2017
A multidimensional unified gas-kinetic scheme for radiative transfer equations on unstructured mesh. Zbl 1375.76137
Sun, Wenjun; Jiang, Song; Xu, Kun
2017
Simplification of the flux function for a high-order gas-kinetic evolution model. Zbl 1375.76156
Zhou, Guangzhao; Xu, Kun; Liu, Feng
2017
Unified gas-kinetic scheme for diatomic molecular flow with translational, rotational, and vibrational modes. Zbl 1380.76071
Wang, Zhao; Yan, Hong; Li, Qibing; Xu, Kun
2017
Implicit unified gas-kinetic scheme for steady state solutions in all flow regimes. Zbl 1349.76791
Zhu, Yajun; Zhong, Chengwen; Xu, Kun
2016
A unified gas-kinetic scheme for continuum and rarefied flows. IV: Full Boltzmann and model equations. Zbl 1349.82055
Liu, Chang; Xu, Kun; Sun, Quanhua; Cai, Qingdong
2016
An efficient and accurate two-stage fourth-order gas-kinetic scheme for the Euler and Navier-Stokes equations. Zbl 1373.76032
Pan, Liang; Xu, Kun; Li, Qibing; Li, Jiequan
2016
Discrete unified gas kinetic scheme on unstructured meshes. Zbl 1390.76819
Zhu, Lianhua; Guo, Zhaoli; Xu, Kun
2016
A third-order compact gas-kinetic scheme on unstructured meshes for compressible Navier-Stokes solutions. Zbl 1349.76517
Pan, Liang; Xu, Kun
2016
Cartesian grid method for gas kinetic scheme on irregular geometries. Zbl 1373.76229
Chen, Songze; Xu, Kun; Li, Zhihui
2016
A multi-dimensional high-order DG-ALE method based on gas-kinetic theory with application to oscillating bodies. Zbl 1349.82111
Ren, Xiaodong; Xu, Kun; Shyy, Wei
2016
Dynamical analysis of a parasite-host model within fluctuating environment. Zbl 1400.92451
Xu, Kun; Zhou, Ziang; Zhao, Huitao
2016
Direct modeling for computational fluid dynamics. Construction and application of unified gas-kinetic schemes. Zbl 1309.76003
Xu, Kun
2015
A comparative study of an asymptotic preserving scheme and unified gas-kinetic scheme in continuum flow limit. Zbl 1351.76230
Chen, Songze; Xu, Kun
2015
An asymptotic preserving unified gas kinetic scheme for gray radiative transfer equations. Zbl 1351.76186
Sun, Wenjun; Jiang, Song; Xu, Kun
2015
A comparative study of LBE and DUGKS methods for nearly incompressible flows. Zbl 1373.76273
Wang, Peng; Zhu, Lianhua; Guo, Zhaoli; Xu, Kun
2015
An asymptotic preserving unified gas kinetic scheme for frequency-dependent radiative transfer equations. Zbl 1349.76735
Sun, Wenjun; Jiang, Song; Xu, Kun; Li, Shu
2015
A multi-dimensional high-order discontinuous Galerkin method based on gas kinetic theory for viscous flow computations. Zbl 1349.65479
Ren, Xiaodong; Xu, Kun; Shyy, Wei; Gu, Chunwei
2015
A compact third-order gas-kinetic scheme for compressible Euler and Navier-Stokes equations. Zbl 1373.76184
Pan, Liang; Xu, Kun
2015
Direct modeling for computational fluid dynamics. Zbl 1346.76064
Xu, Kun
2015
Generalized coordinate transformation and gas-kinetic scheme. Zbl 1351.76246
Pan, Liang; Xu, Kun
2015
A third-order gas-kinetic scheme for three-dimensional inviscid and viscous flow computations. Zbl 1390.76753
Pan, Liang; Xu, Kun
2015
Instrument assisted regression for errors in variables models with binary response. Zbl 1364.62199
Xu, Kun; Ma, Yanyuan; Wang, Liqun
2015
Unified gas-kinetic scheme for diatomic molecular simulations in all flow regimes. Zbl 1349.76786
Liu, Sha; Yu, Pubing; Xu, Kun; Zhong, Chengwen
2014
Effective use of multiple error-prone covariate measurements in capture-recapture models. Zbl 06497312
Xu, Kun; Ma, Yanyuan
2014
A unified gas-kinetic scheme for continuum and rarefied flows. III: Microflow simulations. Zbl 1373.76217
Huang, Juan-Chen; Xu, Kun; Yu, Pubing
2013
Comparison of fifth-order WENO scheme and finite volume WENO-gas-kinetic scheme for inviscid and viscous flow simulation. Zbl 1388.65061
Luo, Jun; Xuan, Lijun; Xu, Kun
2013
On the remedy against shock anomalies in kinetic schemes. Zbl 1349.76722
2013
A new gas-kinetic scheme based on analytical solutions of the BGK equation. Zbl 1284.76312
Xuan, Li-Jun; Xu, Kun
2013
A unified gas-kinetic scheme for continuum and rarefied flows. II: Multi-dimensional cases. Zbl 1373.76216
Huang, Juan-Chen; Xu, Kun; Yu, Pubing
2012
The study of sound wave propagation in rarefied gases using unified gas-kinetic scheme. Zbl 1293.76117
Wang, Rui-Jie; Xu, Kun
2012
Multiple temperature kinetic model and its applications to micro-scale gas flows. Zbl 1365.76256
Liu, Hongwei; Xu, Kun; Zhu, Taishan; Ye, Wenjing
2012
Computational fluid dynamics based on the unified coordinates. Zbl 1275.76003
Hui, Wai-How; Xu, Kun
2012
A well-balanced symplecticity-preserving gas-kinetic scheme for hydrodynamic equations under gravitational field. Zbl 1232.76044
Luo, Jun; Xu, Kun; Liu, Na
2011
Comparison of the generalized Riemann solver and the gas-kinetic scheme for inviscid compressible flow simulations. Zbl 1416.76250
Li, Jiequan; Li, Qibing; Xu, Kun
2011
An improved unified gas-kinetic scheme and the study of shock structures. Zbl 1276.76063
Xu, Kun; Huang, Juan-Chen
2011
A new high-order multidimensional scheme. Zbl 1346.76087
Li, Qibing; Xu, Kun; Fu, Song
2011
Multiple temperature gas dynamic equations for non-equilibrium flows. Zbl 1265.76070
Xu, Kun; Guo, Zhaoli
2011
A unified gas-kinetic scheme for continuum and rarefied flows. Zbl 1276.76057
Xu, Kun; Huang, Juan-Chen
2010
A high-order gas-kinetic Navier-Stokes flow solver. Zbl 1425.76166
Li, Qibing; Xu, Kun; Fu, Song
2010
Bi-level programming based contra flow optimization for evacuation events. Zbl 1217.90039
Lv, Nengchao; Yan, Xinping; Xu, Kun; Wu, Chaozhong
2010
Gas-kinetic BGK scheme for three dimensional magnetohydrodynamics. Zbl 1228.76111
Tang, Huazhong; Xu, Kun; Cai, Chunpei
2010
Remapping-free ALE-type kinetic method for flow computations. Zbl 1282.76155
Ni, Guoxi; Jiang, Song; Xu, Kun
2009
Generalized gas dynamic equations with multiple translational temperatures. Zbl 1173.76044
Xu, Kun; Guo, Zhaoli
2009
A comparative study of the LBE and GKS methods for 2D near incompressible laminar flows. Zbl 1388.76291
Guo, Zhaoli; Liu, Hongwei; Luo, Li-Shi; Xu, Kun
2008
Multiple temperature kinetic model and gas-kinetic method for hypersonic non-equilibrium flow computations. Zbl 1338.76104
Xu, Kun; He, Xin; Cai, Chunpei
2008
A DGBGK scheme based on WENO limiters for viscous and inviscid flows. Zbl 1220.76044
Ni, Guoxi; Jiang, Song; Xu, Kun
2008
Efficient kinetic schemes for steady and unsteady flow simulations on unstructured meshes. Zbl 1255.76095
Ni, Guoxi; Jiang, Song; Xu, Kun
2008
A generalized Bhatnagar-Gross-Krook model for nonequilibrium flows. Zbl 1182.76835
Xu, Kun
2008
A multiple temperature kinetic model and its application to near continuum flows. Zbl 1364.76202
Xu, Kun; Liu, Hongwei
2008
Modified gas-kinetic scheme for shock structures in argon. Zbl 1187.76696
Liao, Wei; Peng, Yan; Luo, Li-Shi; Xu, Kun
2008
A three-dimensional multidimensional gas-kinetic scheme for the Navier-Stokes equations under gravitational fields. Zbl 1388.76313
Tian, C. T.; Xu, K.; Chan, K. L.; Deng, L. C.
2007
A Runge-Kutta discontinuous Galerkin method for viscous flow equations. Zbl 1123.76053
Liu, Hongwei; Xu, Kun
2007
A unified moving grid gas-kinetic method in Eulerian space for viscous flow computation. Zbl 1216.76046
Jin, Changqiu; Xu, Kun
2007
Multiple-temperature kinetic model for continuum and near continuum flows. Zbl 1146.76566
Xu, Kun; Liu, Hongwei; Jiang, Jianzheng
2007
High-order kinetic flux vector splitting schemes in general coordinates for ideal quantum gas dynamics. Zbl 1388.82005
Yang, Jaw-Yen; Hsieh, Tse-Yang; Shi, Yu-Hsin; Xu, Kun
2007
Stability and consistency of kinetic upwinding for advection-diffusion equations. Zbl 1148.76041
Torrilhon, Manuel; Xu, Kun
2006
Continuum formulation for non-equilibrium shock structure calculation. Zbl 1115.76345
Xu, K.; Josyula, E.
2006
An adaptive grid method for two-dimensional viscous flows. Zbl 1158.76417
Jin, Changqiu; Xu, Kun
2006
Gas-kinetic scheme for rarefied flow simulation. Zbl 1116.76069
Xu, Kun; Josyula, Eswar
2006
The numerical study of roll-waves in inclined open channels and solitary wave run-up. Zbl 1138.76328
Que, Yin-Tik; Xu, Kun
2006
A multidimensional gas-kinetic BGK scheme for hypersonic viscous flow. Zbl 1143.76553
Xu, Kun; Mao, Meiliang; Tang, Lei
2005
A compressible Navier-Stokes flow solver with scalar transport. Zbl 1329.76310
Li, Qibing; Fu, Song; Xu, Kun
2005
Microchannel flow in the slip regime: gas-kinetic BGK-Burnett solutions. Zbl 1107.76070
Xu, Kun; Li, Zhihui
2004
The kinetic scheme for the full-Burnett equations. Zbl 1195.76354
2004
A gas-kinetic scheme for shallow-water equations with source terms. Zbl 1142.76457
Tang, Huazhong; Tang, Tao; Xu, Kun
2004
Discontinuous Galerkin BGK method for viscous flow equations: One-dimensional systems. Zbl 1133.65309
Xu, Kun
2004
Nonequilibrium bhatnagar-Gross-krook model for nitrogen shock structure. Zbl 1187.76574
Xu, Kun; Tang, Lei
2004
Crack propagation analysis with Galerkin boundary element method. Zbl 1130.74474
Xu, K.; Lie, S. T.; Cen, Z.
2004
Lattice Boltzmann method and gas-kinetic BGK scheme in the low-Mach number viscous flow simulations. Zbl 1236.76052
Xu, Kun; He, Xiaoyi
2003
Super-Burnett solutions for Poiseuille flow. Zbl 1186.76579
Xu, Kun
2003
A well-balanced gas-kinetic scheme for the shallow-water equations with source terms. Zbl 1017.76071
Xu, Kun
2002
Regularization of the Chapman-Enskog expansion and its description of shock structure. Zbl 1185.76405
Xu, Kun
2002
A slope-update scheme for compressible flow simulation. Zbl 1031.76036
Xu, Kun
2002
A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method. Zbl 1058.76056
Xu, Kun
2001
Dissipative mechanism in Godunov-type schemes. Zbl 1002.76075
Xu, Kun; Li, Zuowu
2001
A Boltzmann based model for open channel flows. Zbl 1013.76053
Ghidaoui, M. S.; Deng, J. Q.; Gray, W. G.; Xu, K.
2001
Entropy analysis of kinetic flux vector splitting schemes for the compressible Euler equations. Zbl 0989.76052
Lui, Shiu Hong; Xu, Kun
2001
Pseudoparticle representation and positivity analysis of explicit and implicit Steger-Warming FVS schemes. Zbl 1004.76072
Tang, Hua-Zhong; Xu, Kun
2001
A kinetic method for hyperbolic-elliptic equations and its application in two-phase flow. Zbl 0990.76054
Xu, K.
2001
Comment on “Development of an improved gas-kinetic BGK scheme for inviscid and viscous flows”. Zbl 1065.76570
Xu, Kun
2001
A high-order gas-kinetic method for multidimensional ideal magnetohydrodynamics. Zbl 0995.76066
Tang, Huazhong; Xu, Kun
2000
A gas-kinetic scheme for multimaterial flows and its application in chemical reactions. Zbl 0994.76082
Lian, Y. S.; Xu, K.
2000
A gas-kinetic scheme for reactive flows. Zbl 0977.76072
Lian, Yongsheng; Xu, Kun
2000
Positivity-preserving analysis of explicit and implicit Lax-Friedrichs schemes for compressible Euler equations. Zbl 0987.76064
Tang, Huazhong; Xu, Kun
2000
Gas-kinetic theory-based flux splitting method for ideal magnetohydrodynamics. Zbl 0946.76067
Xu, Kun
1999
Low-speed flow simulation by the gas-kinetic scheme. Zbl 0935.76070
Su, Mingde; Xu, Kun; Ghidaoui, M. S.
1999
Gas-kinetic schemes for the compressible Euler equations: Positivity-preserving analysis. Zbl 0958.76080
Tang, Tao; Xu, Kun
1999
A gas-kinetic scheme for the Euler equations with heat transfer. Zbl 0959.76064
Xu, Kun
1999
Projection dynamics in Godunov-type schemes. Zbl 0932.76059
Xu, Kun; Hu, Jishan
1998
BGK-based scheme for multicomponent flow calculations. Zbl 0882.76060
Xu, Kun
1997
Analysis and implementation of the gas-kinetic BGK scheme for computational gas dynamics. Zbl 0883.76056
Kim, Chongam; Xu, Kun; Martinelli, Luigi; Jameson, Antony
1997
...and 10 more Documents
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#### Cited by 877 Authors

 78 Xu, Kun 16 Jiang, Song 15 Tang, Huazhong 13 Li, Qibing 12 Guo, Zhaoli 12 Zhong, Chengwen 11 Qamar, Shamsul 11 Shu, Chang 11 Wu, Lei 10 Li, Gang 10 Li, Zhihui 10 Ni, Guoxi 10 Pan, Liang 9 Fu, Song 9 Li, Jiequan 9 Xue, Kang 9 Yang, Liming 9 Zhang, Yonghao 8 Shu, Chi-Wang 8 Shyy, Wei 8 Wang, Yan 8 Xing, Yulong 7 Li, Ruo 7 Ohwada, Taku 7 Su, Wei 7 Warnecke, Gerald G. 6 Mieussens, Luc 6 Sun, Wenjun 6 Wang, Peng 5 Cai, Qingdong 5 Cai, Zhenning 5 Castro, Manuel J. 5 Ge, Molin 5 Girimaji, Sharath S. 5 Gu, Xiaojun 5 Liu, Chang 5 Liu, Hongwei 5 Liu, Sha 5 Myong, Rho-Shin 5 Puppo, Gabriella 5 Torrilhon, Manuel 5 Zhang, Hanxin 5 Zhu, Lianhua 4 Baranger, Céline 4 Chen, Songze 4 Chen, Yibing 4 Du, Zhifang 4 Emerson, David R. 4 Ghidaoui, Mohamed S. 4 Ho, Minh Tuan 4 Hu, Guanghui 4 Hu, Taotao 4 Hu, Zhicheng 4 Jin, Shi 4 Klingenberg, Christian 4 Li, Wei 4 Parés Madroñal, Carlos 4 Qian, Shouguo 4 Struchtrup, Henning 4 Sun, Yu 4 Tang, Lei 4 Wang, Shuanghu 4 Wu, Jie 4 Wu, Kailiang 4 Xiong, Tao 4 Yang, Jaw-Yen 4 Yuan, Ruifeng 4 Zhao, Fengxiang 3 Asinari, Pietro 3 Berthon, Christophe 3 Cai, Chunpei 3 Chen, Hudong 3 Chetverushkin, Boris Nikolaevich 3 Dumbser, Michael 3 Frank, Martin 3 Ji, Xing 3 Jin, Changqiu 3 Kim, Chongam 3 Kurganov, Alexander 3 Li, Weidong 3 Mathiaud, Julien 3 Nishikawa, Hiroaki 3 Ragoucy, Eric 3 Ren, Hang 3 Ren, Xiaodong 3 Seal, David C. 3 Shi, Yu-Hsin 3 Sun, Chunfang 3 Sun, Quanhua 3 Tao, Shi 3 Teo, Chiang Juay 3 Vázquez-Cendón, María Elena 3 Wang, Gangcheng 3 Wu, Ziniu 3 Xiao, Tianbai 3 Xu, Xihua 3 Yan, Guangwu 3 Zhang, Yong 3 Zhu, Yajun 3 Zhuo, Congshan ...and 777 more Authors
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#### Cited in 82 Serials

 203 Journal of Computational Physics 82 Computers and Fluids 21 Journal of Scientific Computing 18 Computers & Mathematics with Applications 16 Journal of Fluid Mechanics 12 SIAM Journal on Scientific Computing 9 Physics of Fluids 9 International Journal of Computational Fluid Dynamics 8 International Journal for Numerical Methods in Fluids 8 Quantum Information Processing 7 Applied Mathematics and Computation 6 Journal of Computational and Applied Mathematics 6 Communications in Nonlinear Science and Numerical Simulation 5 Journal of Mathematical Physics 5 Journal of Statistical Physics 5 Acta Mechanica Sinica 4 Computer Methods in Applied Mechanics and Engineering 4 Applied Numerical Mathematics 4 Applied Mathematical Modelling 4 Continuum Mechanics and Thermodynamics 4 AMM. Applied Mathematics and Mechanics. (English Edition) 3 Computer Physics Communications 3 Mathematics and Computers in Simulation 3 SIAM Journal on Numerical Analysis 3 European Journal of Mechanics. B. Fluids 3 East Asian Journal on Applied Mathematics 2 Communications in Mathematical Physics 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Shock Waves 2 Journal of Geometry and Physics 2 Computational Mathematics and Mathematical Physics 2 Engineering Analysis with Boundary Elements 2 International Journal of Modern Physics C 2 Journal of Turbulence 2 Nonlinear Analysis. Real World Applications 2 Multiscale Modeling & Simulation 2 International Journal of Computational Methods 2 International Journal of Quantum Information 2 Acta Numerica 2 Arabian Journal for Science and Engineering 2 Communications on Applied Mathematics and Computation 1 Modern Physics Letters B 1 International Journal of Modern Physics B 1 Mathematical Methods in the Applied Sciences 1 Nuclear Physics. B 1 Physica A 1 Theoretical and Mathematical Physics 1 Wave Motion 1 Mathematics of Computation 1 Automatica 1 BIT 1 Information Sciences 1 International Journal for Numerical Methods in Engineering 1 Numerische Mathematik 1 Applied Mathematics and Mechanics. (English Edition) 1 Computational Mechanics 1 Applied Mathematics Letters 1 Annals of Operations Research 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 Computational Statistics and Data Analysis 1 Journal of Knot Theory and its Ramifications 1 Journal of Algebraic Combinatorics 1 Test 1 Computational and Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Computational Geosciences 1 Engineering Computations 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Journal of Numerical Mathematics 1 Communications on Pure and Applied Analysis 1 Journal of Hyperbolic Differential Equations 1 International Journal of Numerical Analysis and Modeling 1 Networks and Spatial Economics 1 Kinetic and Related Models 1 International Journal for Computational Methods in Engineering Science and Mechanics 1 Asian Journal of Control 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Applied Mathematics and Nonlinear Sciences 1 SMAI Journal of Computational Mathematics
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#### Cited in 28 Fields

 454 Fluid mechanics (76-XX) 216 Numerical analysis (65-XX) 83 Statistical mechanics, structure of matter (82-XX) 78 Partial differential equations (35-XX) 20 Quantum theory (81-XX) 12 Classical thermodynamics, heat transfer (80-XX) 10 Associative rings and algebras (16-XX) 10 Astronomy and astrophysics (85-XX) 9 Mechanics of deformable solids (74-XX) 8 Group theory and generalizations (20-XX) 8 Geophysics (86-XX) 6 Nonassociative rings and algebras (17-XX) 4 Manifolds and cell complexes (57-XX) 4 Optics, electromagnetic theory (78-XX) 4 Relativity and gravitational theory (83-XX) 3 Ordinary differential equations (34-XX) 3 Integral equations (45-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 Approximations and expansions (41-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Calculus of variations and optimal control; optimization (49-XX)