Article

Physical modeling and numerical studies of threedimensional nonequilibrium multitemperature flows

Author(s): Cao, Guiyu ; Liu, Hualin; Xu, Kun

Source: Physics of Fluids, v. 30, (12), December 2018, article number 126104

A Family of Highorder Gaskinetic Schemes and Its Comparison With Riemann Solver Based Highorder Methods

Author(s): Ji, Xing; Zhao, Fengxiang; Shyy, Wei; Xu, Kun

Source: Journal of Computational Physics. , v. 356, March 2018, p. 150173

An Efficient Highorder Finite Difference Gaskinetic Scheme for the Euler and Navier–stokes Equations

Author(s): Xuan, lijun; Xu, Kun

Source: Computers & Fluids. , v. 166, 30 April 2018, p. 243252

Gridconverged Solution and Analysis of the Unsteady Viscous Flow in a Twodimensional Shock Tube

Author(s): Zhou, Guangzhao; Xu, Kun ; Liu, Feng

Source: Physics of Fluids. , v. 30, (1), January 2018, article number 016102

An Investigation of Nonequilibrium 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. 362379

A unified gaskinetic 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. 144169

A Compact Fourthorder Gaskinetic 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. 446472

A WellBalanced Unified GasKinetic 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. 475491

Simplification of the Flux Function for A Highorder Gaskinetic Evolution Model

Author(s): Zhou, Guangzhao; Xu, Kun; Liu, Feng

Source: Journal of Computational Physics. , v. 339, June 2017, p. 146162

To overcome memory barrier of kinetic solvers for nonequilibrium flow study

Source: Science Bulletin. , v. 62, (2), January 2017, p. 99101

An Implicit Unified Gas Kinetic Scheme for Radiative Transfer with Equilibrium and NonEquilibrium Diffusive Limits

Author(s): Sun, Wenjun; Jiang, Song; Xu, Kun

Source: Communications in Computational Physics. , v. 22, (4), October 2017, p. 889912

A TwoStage FourthOrder GasKinetic 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. 11231149

A Gaskinetic Theory Based Multidimensional Highorder 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. 733741

A Few Benchmark Test Cases for HigherOrder Euler Solvers

Author(s): Pan, Liang; Li, Jiequan; Xu, Kun

Source: Numerical Mathematics. , v. 10, (4), November 2017, p. 711736

Unified GasKinetic 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. 237259

Unified Gaskinetic 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

A Multidimensional Unified Gaskinetic 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. 455472

On the Apparent Permeability of Porous Media in Rarefied Gas Flows

Author(s): Wu, Lei; Ho, Minh Tuan; Germanou, Lefki; Gu, XiaoJun; Liu, Chang; Xu, Kun; Zhang, Yonghao

Source: Journal of Fluid Mechanics. , v. 822, July 2017, p. 398417

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, YiKuen

Source: Journal of Micromechanics and Microengineering. , v. 27, (8), June 2017, article number 085001

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

A Unified Gas Kinetic Scheme for Continuum and Rarefied Flows V: Multiscale and MultiComponent Plasma Transport

Author(s): Liu, Chang; Xu, Kun

Source: Communications in Computational Physics. , v. 22, (5), November 2017, p. 11751223

Implicit unified gaskinetic 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. 1638

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

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. 944958

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. 211225

An Efficient and Accurate TwoStage FourthOrder GasKinetic 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. 197221

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. 862877

A unified gaskinetic 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. 305340

A multidimensional highorder DGALE method based on gaskinetic theory with application to oscillating bodies

Author(s): Ren, Xiaodong; Xu, Kun; Shyy, Wei

Source: Journal of Computational Physics. , v. 316, July 2016, p. 700720

Onsager’s cross coupling effects in gas flows confined to microchannels

Author(s): Wang, Ruijie ; Xu, Xinpeng ; Xu, Kun ; Qian, Tiezheng

Source: Physical Review Fluids. , v. 1, (4), August 2016, article number 044102

Manganesetuned chemical etching of a platinumcopper nanocatalyst with platinumrich surfaces

Author(s): Huang, Yiyin; Zhao, Tianshou; Zhao, Gang; Yan, Xiaohui; Xu, Kun

Source: Journal of Power Sources. , v. 304, Feb 2016, p. 7480

A thirdorder compact gaskinetic 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. 327348

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. 265279

Direct modeling for computational fluid dynamics

Source: Acta Mechanica Sinica/Lixue Xuebao. , v. 31, (3), June 2015, p. 303318

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. 245266

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. 135146

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. 657681

A comparative study of an asymptotic preserving scheme and unified gaskinetic scheme in continuum flow limit

Author(s): Chen, Songze; Xu, Kun

Source: Journal of Computational Physics. , v. 288, May 2015, p. 5265

An asymptotic preserving unified gas kinetic scheme for frequencydependent radiative transfer equations

Author(s): Sun, Wenjun; Jiang, Song; Xu, Kun; Li, Shu

Source: Journal of Computational Physics. , v. 302, December 2015, p. 222238

A multidimensional highorder 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. 176193

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

Generalized coordinate transformation and gaskinetic scheme

Author(s): Pan, Liang; Xu, Kun

Source: Journal of Computational Physics. , v. 287, April 2015, p. 207225

A thirdorder gaskinetic scheme for threedimensional inviscid and viscous flow computations

Author(s): Pan, Liang; Xu, Kun

Source: Computers and Fluids. , v. 119, September 2015, p. 250260

A Compact ThirdOrder GasKinetic Scheme for Compressible Euler and NavierStokes Equations

Author(s): Pan, Liang; Xu, Kun

Source: Communications in Computational Physics. , v. 18, (4), October 2015, p. 9851011

Unified gaskinetic simulation of slider air bearing

Author(s): Wang, Ruijie; Xu, Kun

Source: Theoretical and Applied Mechanics Letters. , v. 4, (2), 2014, article number 022001

Unified gaskinetic 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. 96113

Kinetic NodePair Formulation for TwoDimensional 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. 784796

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. 106129

A new gaskinetic scheme based on analytical solutions of the BGK equation

Author(s): Xuan, LiJun; Xu, Kun

Source: Journal of Computational Physics. , v. 234, (1), 2013, p. 524539

Comparison of FifthOrder WENO Scheme and Finite Volume WENOGasKinetic 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. 599620

A highorder multidimensional gaskinetic scheme for hydrodynamic equations

Author(s): Luo, Jun; Xu, Kun

Source: Science China Technological Sciences. , v. 56, (10), October 2013, p. 23702384

Discrete unified gas kinetic scheme for all Knudsen number flows: Lowspeed 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

A unified gaskinetic scheme for continuum and rarefied flows III: Microflow simulations

Author(s): Huang, JuanChen; Xu, Kun; Yu, Pubing

Source: Communications in Computational Physics. , v. 14, (5), November 2013, p. 11471173

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. 66436664

A Unified GasKinetic Scheme for Continuum and Rarefied Flows II: MultiDimensional Cases

Author(s): Huang, Juanchen; Xu, Kun; Yu, Pubing

Source: Communications in Computational Physics. , v. 12, (3), September 2012, p. 662690

Multiple temperature kinetic model and its applications to microscale gas flows

Author(s): Liu, Hongwei; Xu, Kun; Zhu, Taishan; Ye, Wenjing

Source: Computers & Fluids. , v. 67, August 2012, p. 115122

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

Progress in Gaskinetic Scheme

Author(s): Li, Qibing; Xu, Kun

Source: Advances in Mechanics. , v. 42, (5), 2012, p. 522537

The study of sound wave propagation in rarefied gases using unified gaskinetic scheme

Author(s): Wang, Ruijie; Xu, Kun

Source: Acta Mechanica Sinica. , v. 28, (4), August 2012, p. 10221029

Comparison of the Generalized Riemann Solver and the Gaskinetic 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. 50805099

Multiple Temperature Gas Dynamic Equations for Nonequilibrium Flows

Author(s): Xu, Kun; Guo, Zhaoli

Source: Journal of Computational Mathematics. , v. 29, (6), 2011, p. 639660

An improved unified gaskinetic scheme and the study of shock structures

Author(s): Xu, Kun; Huang, JuanChen

Source: IMA Journal of Applied Mathematics. , v. 76, (5), October 2011, p. 698711

A WellBalanced SymplecticityPreserving GasKinetic 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. 23562381

GasKinetic 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. 387404

A Three Dimensional GasKinetic Scheme with Moving Mesh for LowSpeed Viscous Flow Computations

Author(s): Jin, Changqiu; Xu, Kun; Chen, Songze

Source: Advances in applied mathematics and mechanics. , v. 2, (6), December 2010, p. 746762

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. 157172

A WellBalanced 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. 200210

A highorder gaskinetic NavierStokes flow solver

Author(s): Li, Qibing; Xu, Kun; Fu, Song

Source: Journal of Computational Physics. , v. 229, (19), September 2010, p. 67156731

A unified gaskinetic scheme for continuum and rarefied flows

Author(s): Xu, Kun; Huang, JuanChen

Source: Journal of Computational Physics. , v. 229, (20), October 2010, p. 77477764

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. 237240

Remappingfree ALEtype 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. 31543171

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. 391401

A Discontinuous Galerkin Method Based on a BGK Scheme for the NavierStokes 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. 301318

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. 30153031

Multiple temperature kinetic model and gaskinetic method for hypersonic nonequilibrium flow computations

Author(s): Xu, Kun; He, Xin; Cai, Chunpei

Source: Journal of computational physics. , v. 227, (14), 2008, JUL 1, p. 67796794

Modified gaskinetic scheme for shock structures in argon

Author(s): Liao, Wei; Peng, Yan; Luo, LiShi; Xu, Kun

Source: Progress in computational fluid dynamics. , v. 8, (14), 2008, p. 97108

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. 834851

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. 57995815

A comparative study of the LBE and GKS methods for 2D near incompressible laminar flows

Author(s): Guo, Zhaoli; Liu, Hongwei; Luo, LiShi; Xu, Kun

Source: Journal of computational physics. , v. 227, (10), 2008, MAY 1, p. 49554976

Onedimensional multipletemperature gaskinetic BhatnagarGrossKrook scheme for shock wave computation

Author(s): Cai, Chunpei; Liu, Danny D.; Xu, Kun

Source: AIAA journal. , v. 46, (5), 2008, MAY, p. 10541062

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. 10691085

A generalized BhatnagarGrossKrook model for nonequilibrium flows

Source: Physics of fluids. , v. 20, (2), 2008, FEB, article number 026101

A gaskinetic 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. 13441351

Multiscale gaskinetic simulation for continuum and nearcontinuum flows

Author(s): Xu, Kun; Liu, Hongwei

Source: Physical Review E. , v. 75, (1), January 2007

A threedimensional multidimensional gaskinetic scheme for the NavierStokes 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. 20032027

Highorder kinetic flux vector splitting schemes in general coordinates for ideal quantum gas dynamics

Author(s): Yang, JawYen; Hsieh, TseYang; Shi, YuHsin; Xu, Kun

Source: Journal of computational physics. , v. 227, (2), 2007, DEC 10, p. 967982

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. 13761382

A RungeKutta 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. 12231242

A unified moving grid gaskinetic 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. 155175

Multipletemperature 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

Gaskinetic scheme for continuum and nearcontinuum hypersonic flows

Author(s): Liao, Wei; Luot, LiShi; Xu, Kun

Source: Journal of spacecraft and rockets. , v. 44, (6), 2007, NOVDEC, p. 12321240

An adaptive grid method for twodimensional viscous flows

Author(s): Jin, Changqiu; Xu, Kun

Source: Journal of computational physics. , v. 218, (1), 2006, OCT 10, p. 6881

The gaskinetic scheme for shallow water equations^{*} * Project supported by the Hong Kong Research Grant Council (HKUST6102/04E, 6210/05E).

Source: Journal of Hydrodynamics. , v. 18, (3 SUPPL.), 2006, p. 7376

Stability and consistency of kinetic upwinding for advectiondiffusion equations

Author(s): Torrilhon, Manuel; Xu, Kun

Source: IMA journal of numerical analysis. , v. 26, (4), 2006, OCT, p. 686722

Gaskinetic scheme for rarefied flow simulation

Author(s): Xu, Kun; Josyula, Eswar

Source: Mathematics and computers in simulation. , v. 72, (26), 2006, SEP 9, p. 253256

Kinetic flux vector splitting scheme for solving 2D shallow water equations with triangular mesh

Author(s): Pan, Cunhong; Xu, Kun

Source: Shuili Xuebao/Journal of Hydraulic Engineering. , v. 37, (7), 2006, p. 858864

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. 309340

Continuum formulation for nonequilibrium shock structure calculation

Author(s): Xu, Kun; Josyula, Eswar

Source: Communications in computational physics. , v. 1, (3), 2006, JUN, p. 425448

The numerical study of rollwaves in inclined open channels and solitary wave runup

Author(s): Que, Yin T.; Xu, Kun

Source: International journal for numerical methods in fluids. , v. 50, (9), 2006, MAR 30, p. 10031027

Application of gaskinetic 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. 21702176

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. 317321

A compressible NavierStokes 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. 692714

Multiple translational temperature model and its shock structure solution

Author(s): Xu, Kun; Josyula, Eswar

Source: Physical Review E. , v. 71, (5), May 2005

A multidimensional gaskinetic 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. 405421

The application of gaskinetic BGK scheme in near continuum flow regime

Author(s): Mao, Meiliang; Xu, Kun; Deng, Xiaogang

Source: Acta Aerodynamica Sinica. , 23, pp. 317321

A gaskinetic scheme for shallowwater 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. 365382

Nonequilibrium BhatnagarGrossKrook model for nitrogen shock structure

Author(s): Xu, Kun; Tang, Lei

Source: Physics of fluids. , v. 16, (10), 2004, OCT, p. 38243827

The kinetic scheme for the fullBurnett equations

Author(s): Ohwada, Taku; Xu, Kun

Source: Journal of computational physics. , v. 201, (1), 2004, NOV 20, p. 315332

Discontinuous Galerkin BGK method for viscous flow equations: Onedimensional systems

Source: SIAM journal on scientific computing. , v. 25, (6), 2004, p. 19411963

Microchannel flow in the slip regime: gaskinetic BGKBurnett solutions

Author(s): Xu, Kun; Li, Zhihui

Source: Journal of fluid mechanics. , v. 513, 2004, AUG 25, p. 87110

A Gaskinectic Scheme for Shallowwater Equations with Source Terms

Source: Zeitschrift fur angewandte Mathematik und Physik ZAMP 55 (2004) 365382, 00442275/04/03036518 DOI 10.1007/s0003300311197 Birkhaeuser Verlag, Basel.

Lattice Boltzmann method and gaskinetic BGK scheme in the lowMach number viscous flow simulations

Author(s): Xu, Kun; He, Xiaoyi

Source: Journal of computational physics. , v. 190, (1), 2003, SEP 1, p. 100117

SuperBurnett solutions for Poiseuille flow

Source: Physics of fluids. , v. 15, (7), 2003, JUL, p. 20772080

Regularization of the ChapmanEnskog expansion and its description of shock structure

Source: Physics of Fluids. , v. 14, (4), 2002

A slopeupdate scheme for compressible flow simulation

Source: Journal of computational physics. , v. 178, (1), 2002, MAY 1, p. 252259

A wellbalanced gaskinetic scheme for the shallowwater equations with source terms

Source: Journal of computational physics. , v. 178, (2), 2002, MAY 20, p. 533562

KFVS method for onedimensional shallow water equation

Author(s): Xu, Kun; Pan, Chunhong

Source: Journal of Hydrodynamics (Chinese). , A17(2), 140147

A gaskinetic BGK scheme for the NavierStokes equations and its connection with artificial dissipation and Godunov method

Source: Journal of computational physics. , v. 171, (1), 2001, JUL 20, p. 289335

A kinetic method for hyperbolicelliptic equations and its application in twophase flow

Source: Journal of computational physics. , v. 166, (2), 2001, JAN 20, p. 383399

A Boltzmannbased 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. 531550

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. 449494

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. 6278

Dissipative mechanism in Godunovtype schemes

Author(s): Xu, Kun; Li, Zuowu

Source: International journal for numerical methods in fluids. , v. 37, (1), 2001, SEP 15, p. 122

Numerical simulations of resonant oscillations in a tube

Author(s): Tang, Huazhong; Cheng, Ping; Xu, Kun

Source: Numerical HEAT Transfer PART aapplications. , v. 40, (1), 2001, JUL, p. 3754

Pseudoparticle representation and positivity analysis of explicit and implicit StegerWarming FVS schemes

Author(s): Tang, Huazhong; Xu, Kun

Source: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND Physik. , v. 52, (5), 2001, SEP, p. 847858

A highorder gaskinetic method for multidimensional ideal magnetohydrodynamics

Author(s): Tang, Huazhong; Xu, Kun

Source: Journal of computational physics. , v. 165, (1), 2000, NOV 20, p. 6988

A gaskinetic scheme for reactive flows

Author(s): Lian, Yongsheng; Xu, Kun

Source: Computers & fluids. , v. 29, (7), 2000, SEP, p. 725748

A Gaskinetic 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. 349375

Positivitypreserving analysis of explicit and implicit LaxFriedrichs schemes for compressible Euler equations

Author(s): Tang, Huazhong; Xu, Kun

Source: Journal of Scientific Computing. , v. 15, (1), 2000, p. 1928

Unsplitting BGKtype schemes for the shallow water equations

Source: International journal of modern physics C. , v. 10, (4), 1999, JUN, p. 505516

Lowspeed flow simulation by the gaskinetic scheme

Author(s): Su, Mingde; Xu, Kun; Ghidaoui, Mohamed Salah

Source: Journal of computational physics. , v. 150, (1), 1999, MAR 20, p. 1739

Gaskinetic schemes for the compressible Euler equations: Positivitypreserving analysis

Author(s): Tang, Tao; Xu, Kun

Source: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND Physik. , v. 50, (2), 1999, MAR, p. 258281

RayleighBénard simulation using the gaskinetic BhatnagarGrossKrook scheme in the incompressible limit

Author(s): Xu, Kun; Lui, Shiu Hong

Source: Physical Review E. , v. 60, (1), July 1999

Gaskinetic theorybased flux splitting method for ideal magnetohydrodynamics

Source: Journal of computational physics. , v. 153, (2), 1999, AUG 10, p. 334352

Projection dynamics in Godunovtype schemes

Author(s): Xu, Kun; Hu, Jishan

Source: Journal of computational physics. , v. 142, (2), 1998, MAY 20, p. 412427

Connection between latticeBoltzmann equation and beam scheme

Author(s): Xu, Kun; Luo, Lishi

Source: International journal of modern physics C. , v. 9, (8), 1998, DEC, p. 11771187

A gaskinetic scheme for the Euler equations with heat transfer

Source: SIAM journal on scientific computing. , v. 20, (4), 1998, APR 7, p. 13171335

BGKbased Scheme for Multicomponent Flow Calculations

Source: Journal of Computational Physics. , v. 134, (1), June 1997, p. 122133
Book

Direct Modeling for Computational Fluid Dynamics: construction and application of unified gaskinetic schemes

Source: Direct Modeling for Computational Fluid Dynamics: Construction and Application of Unified GasKinetic Schemes. , / Xu, Kun. Singapore: World Scientific Publishing, 2015

Computational Fluid Dynamics Based on the Unified Coordinates

Author(s): Hui, Wai How; Xu, Kun

Source: Computational Fluid Dynamics Based on the Unified Coordinates.
Book chapter

Unified Treatment of Rarefied and Continuum Fluid Flows

Source: Encyclopedia of Aerospace Engineering. , Editorsinchief: Richard Blockley, Wei Shyy. Chichester, West Sussex, U.K. : Wiley, 2010
Conference paper

Application of Unified GasKinetic Scheme for Hypersonic NonEquilibrium Flow

Author(s): Wang, Zhao; Yan, Hong; Li, Qibing; Xu, Kun

Source: 21st AIAA International Space Planes and Hypersonics Technologies Conference, Hypersonics 2017. , 2017

Validation of GasKinetic 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

A highorder moving mesh gaskinetic scheme for threedimensional flows

Author(s): Pan, Liang; Xu, Kun

Study of Vacuum Gas Flows with the Unified GasKinetic 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

Unified Gaskinetic Scheme for Multispecies Nonequilibrium Flow

Author(s): Wang, Ruijie PHYS; Xu, Kun

Source: AIP Conference Proceedings. , v. 1628, (1), February 2015, p. 970975

A Cartesian GridBased Unified Gas Kinetic Scheme

Author(s): Chen, Songze ; Xu, Kun

Source: AIP Conference Proceedings. , v. 1628, December 2014, p. 9951002

Aspect Ratio Effect on Flow Structure around Rotating Rectangular Wings

Author(s): Fu, Jujiang; Pan, Liang; Qiu, Huihe MAE; Xu, Kun ; Shyy, Wei MAE

A Unified Gaskinetic Scheme for Continuum and Rarefied Flows

Author(s): Xu, Kun; Huang, J.C.

Source: AIP Conference Proceedings. , v. 1333, May 2011, p. 525530

Numerical simulation of hypersonic transitional flows by means of a kinetic nodepair 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

A New HighOrder Multidimensional Scheme

Author(s): Li, Qibing; Xu, Kun; Fu, Song

Source: Computational Fluid Dynamics 2010. , Editor: Alexander Kuzmin. Berlin, Heidelberg : SpringerVerlag, 2011, p. 629635

A Symplecticpreserving Gaskinetic Scheme for Hydrodynamic Equations under external forcing Field

Author(s): Luo, Jun; Xu, Kun

Source: AIP Conference Proceedings. , v. 1333, May 2011, p. 916921

A Highorder GasKinetic NavierStokes 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

A Multiple Temperature Kinetic Model and Its application to Microscale Gas Flow Simulations

Author(s): Liu, Hongwei; Xu, Kun ; Zhu, Taishan MAE; Ye, Wenjing MAE

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

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

Extended gas dynamic equations with multiple translational temperature

Author(s): Xu, Kun; Guo, Zhaoli

Source: AIP Conference Proceedings. , v. 1084, 2009, p. 6974

A discontinuous galerkin method based on a gas kinetic scheme for the navierstokes equations on arbitrary grids

Author(s): Luo, Hong; Xu, Kun

Source: Computational Fluid Dynamics 2008. , 2009, p. 423428

A BGKbased discontinuous Galerkin method for the NavierStokes equations on arbitrary grids

Author(s): Luo, Hong; Xu, Kun

Source: 46th AIAA Aerospace Sciences Meeting and Exhibit. , 2008

Multiple temperature kinetic model for near continuum flows

Author(s): Xu, Kun; Liu, Hongwei

Source: 46th AIAA Aerospace Sciences Meeting and Exhibit. , 710, Jan 2008

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. 88638873

Nonequilibrium 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. 73687380

Gaskinetic 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. 1698917006

Multiple temperature kinetic model for nonequilibrium flow computations

Author(s): Xu, Kun; He, Xin; Cai, Chunpei

Source: Collection of Technical Papers  39th AIAA Thermophysics Conference. , v. 2, 2007, p. 14081425

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. 74977510

Gas kinetic scheme for continuum and nearcontinuum hypersonic flows

Author(s): Liao, Wei; Luo, Lishi; Xu, Kun

Source: Collection of Technical Papers  45th AIAA Aerospace Sciences Meeting. , v. 2, 2007, p. 13551365

A onedimensional multipletemperature GasKinetic 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. 113

A twodimensional GasKinetic BGK scheme for hypersonic thermal nonequilibrium 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. 548558

Gaskinetic model for NavierStokes solutions with multiple translational temperature

Author(s): Xu, Kun; Joysula, Eswar

Source: 35th AIAA Fluid Dynamics Conference and Exhibit, Canada. , June

Nonequilibrium relaxation in high temperature gas flows

Author(s): Josyula, Eswar; Xu, Kun

Source: 3rd MIT Conference on Computational Fluid and Solid Mechanics, Boston. , June

Testing continuum and noncontinuum descriptions in high speed flows

Author(s): Josyula, Eswar; Xu, Kun; Wadsworth, Dean C.

Source: AIP Conference Proceedings. , v. 762, 2005, p. 12171222

Unified gaskinetic computational algorithm for continuum and rarefied flows

Author(s): Tang, Lei; Xu, Kun

Source: AIAA Paper. , 2004, p. 76557666

Gaskinetic BGK scheme for hypersonic viscous flow

Author(s): Xu, Kun; Mao, MeiLiang

Source: Computational Fluid Dynamics 2004, Proceedings. , 2004, p. 183188

Nonequilibrium Relaxation in High Speed Flows

Author(s): Josyula, Eswar; Bailey, W.F.; Xu, Kun

Source: 37th AIAA Thermophysics Conference, Portland, Oregon. , Paper 20042468, June 28July 1

Kinematic and dynamic dissipation in shock capturing schemes

Source: COMPUTATIONAL FLUID AND SOLID MECHANICS 2003, VOLS 1 AND 2, PROCEEDINGS. , 2003, p. 12011204

Laminar Hypersonic Viscous Flow Calculations using Gaskinetic BGK Scheme

Author(s): Xu, Kun; Mao, M.L.

Source: National Fluid Mechanics Workshop for Young Scientists, Xi'an. , November 811

Gaskinetic schemes for fluid simulations

Source: COMPUTATIONAL FLUID DYNAMICS 2000. , 2001, p. 1427

Dissipative mechanism in Godunov method

Source: COMPUTATIONAL FLUID DYNAMICS FOR THE 21ST CENTURY, PROCEEDINGS. , v. 78, 2001, p. 309321

Does Perfect Riemann Solver Exist?

Source: 14th Computational Fluid Dynamics Conference. , 1999, p. 771779

Gaskinetic Flux Splitting Method for Ideal Magnetohydrodynamics

Source: 14th Computational Fluid Dynamics Conference. , 1999, p. 626635

A BGK Solver for Multicomponent Euler Equations

Source: 13th Computational Fluid Dynamics Conference. , 1997, p. 12061215

An Accurate LEDBGK 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
Other

Preface: Special Issue on Progress in Fluid Dynamics and Simulation (PFDS)

Author(s): Xu, Kun; Yang, JawYen

Source: Communications in Computational Physics. , v. 18, (4), October 2015, p. iii

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. iiiiv

