A Gas-Kinetic Scheme for the Euler Equations with Heat Transfer. - Kun Xu 001 (SIAM J. Sci. Comput., 1999)

Positivity-Preserving Analysis of Explicit and Implicit Lax-Friedrichs Schemes for Compressible Euler Equations. - Hua-Zhong Tang; Kun Xu 001 (J. Sci. Comput., 2000)

Discontinuous Galerkin BGK Method for Viscous Flow Equations: One-Dimensional Systems. - Kun Xu 001 (SIAM J. Sci. Comput., 2004)

An adaptive grid method for two-dimensional viscous flows. - Changqiu Jin; Kun Xu 001 (J. Comput. Phys., 2006)

Gas-kinetic scheme for rarefied flow simulation. - Kun Xu 001; Eswar Josyula (Math. Comput. Simul., 2006)

A unified moving grid gas-kinetic method in Eulerian space for viscous flow computation. - Changqiu Jin; Kun Xu 001 (J. Comput. Phys., 2007)

A Runge-Kutta discontinuous Galerkin method for viscous flow equations. - Hongwei Liu; Kun Xu 001 (J. Comput. Phys., 2007)

A three-dimensional multidimensional gas-kinetic scheme for the Navier-Stokes equations under gravitational fields. - C. T. Tian; Kun Xu 001; Kwing Lam Chan; Licai Deng (J. Comput. Phys., 2007)

High-order kinetic flux vector splitting schemes in general coordinates for ideal quantum gas dynamics. - Jaw-Yen Yang; Tse-Yang Hsieh; Yu-Hsin Shi; Kun Xu 001 (J. Comput. Phys., 2007)

A comparative study of the LBE and GKS methods for 2D near incompressible laminar flows. - Zhaoli Guo; Hongwei Liu; Li-Shi Luo; Kun Xu 001 (J. Comput. Phys., 2008)

Efficient kinetic schemes for steady and unsteady flow simulations on unstructured meshes. - Guoxi Ni; Song Jiang 004; Kun Xu 001 (J. Comput. Phys., 2008)

A DGBGK scheme based on WENO limiters for viscous and inviscid flows. - Guoxi Ni; Song Jiang 004; Kun Xu 001 (J. Comput. Phys., 2008)

Multiple temperature kinetic model and gas-kinetic method for hypersonic non-equilibrium flow computations. - Kun Xu 001; Xin He; Chunpei Cai (J. Comput. Phys., 2008)

Remapping-free ALE-type kinetic method for flow computations. - Guoxi Ni; Song Jiang 004; Kun Xu 001 (J. Comput. Phys., 2009)

A high-order gas-kinetic Navier-Stokes flow solver. - Qibing Li; Kun Xu 001; Song Fu (J. Comput. Phys., 2010)

A unified gas-kinetic scheme for continuum and rarefied flows. - Kun Xu 001; Juan-Chen Huang (J. Comput. Phys., 2010)

Comparison of the generalized Riemann solver and the gas-kinetic scheme for inviscid compressible flow simulations. - Jiequan Li; Qibing Li; Kun Xu 001 (J. Comput. Phys., 2011)

A Well-Balanced Symplecticity-Preserving Gas-Kinetic Scheme for Hydrodynamic Equations under Gravitational Field. - Jun Luo 006; Kun Xu 001; Na Liu 004 (SIAM J. Sci. Comput., 2011)

A unified gas kinetic scheme with moving mesh and velocity space adaptation. - Songze Chen; Kun Xu 001; Cunbiao Lee; Qingdong Cai (J. Comput. Phys., 2012)

On the remedy against shock anomalies in kinetic schemes. - Taku Ohwada; Ryo Adachi; Kun Xu 001; Jun Luo 006 (J. Comput. Phys., 2013)

A new gas-kinetic scheme based on analytical solutions of the BGK equation. - Li-Jun Xuan; Kun Xu 001 (J. Comput. Phys., 2013)

Optimization Algorithms for Designing a Two-Section Dual-Band Transformer. - Yaqiao Luo; Kun Xu 001 (VTC Spring, 2014)

Unified gas-kinetic scheme for diatomic molecular simulations in all flow regimes. - Sha Liu; Pubing Yu; Kun Xu 001; Chengwen Zhong (J. Comput. Phys., 2014)

A comparative study of an asymptotic preserving scheme and unified gas-kinetic scheme in continuum flow limit. - Songze Chen; Kun Xu 001 (J. Comput. Phys., 2015)

Generalized coordinate transformation and gas-kinetic scheme. - Liang Pan; Kun Xu 001 (J. Comput. Phys., 2015)

A multi-dimensional high-order discontinuous Galerkin method based on gas kinetic theory for viscous flow computations. - Xiaodong Ren; Kun Xu 001; Wei Shyy; Chunwei Gu (J. Comput. Phys., 2015)

An asymptotic preserving unified gas kinetic scheme for gray radiative transfer equations. - Wenjun Sun; Song Jiang 004; Kun Xu 001 (J. Comput. Phys., 2015)

An asymptotic preserving unified gas kinetic scheme for frequency-dependent radiative transfer equations. - Wenjun Sun; Song Jiang 004; Kun Xu 001; Shu Li (J. Comput. Phys., 2015)

Cartesian grid method for gas kinetic scheme on irregular geometries. - Songze Chen; Kun Xu 001; Zhi-Hui Li 004 (J. Comput. Phys., 2016)

A unified gas-kinetic scheme for continuum and rarefied flows IV: Full Boltzmann and model equations. - Chang Liu 036; Kun Xu 001; Quanhua Sun; Qingdong Cai (J. Comput. Phys., 2016)

A third-order compact gas-kinetic scheme on unstructured meshes for compressible Navier-Stokes solutions. - Liang Pan; Kun Xu 001 (J. Comput. Phys., 2016)

An efficient and accurate two-stage fourth-order gas-kinetic scheme for the Euler and Navier-Stokes equations. - Liang Pan; Kun Xu 001; Qibing Li; Jiequan Li (J. Comput. Phys., 2016)

A multi-dimensional high-order DG-ALE method based on gas-kinetic theory with application to oscillating bodies. - Xiaodong Ren; Kun Xu 001; Wei Shyy (J. Comput. Phys., 2016)

Implicit unified gas-kinetic scheme for steady state solutions in all flow regimes. - Yajun Zhu; Chengwen Zhong; Kun Xu 001 (J. Comput. Phys., 2016)

A multidimensional unified gas-kinetic scheme for radiative transfer equations on unstructured mesh. - Wenjun Sun; Song Jiang 004; Kun Xu 001 (J. Comput. Phys., 2017)

Unified gas-kinetic scheme for diatomic molecular flow with translational, rotational, and vibrational modes. - Zhao Wang; Hong Yan; Qibing Li; Kun Xu 001 (J. Comput. Phys., 2017)

A well-balanced unified gas-kinetic scheme for multiscale flow transport under gravitational field. - Tianbai Xiao; Qingdong Cai; Kun Xu 001 (J. Comput. Phys., 2017)

Simplification of the flux function for a high-order gas-kinetic evolution model. - Guangzhao Zhou; Kun Xu 001; Feng Liu 048 (J. Comput. Phys., 2017)

A compact fourth-order gas-kinetic scheme for the Euler and Navier-Stokes equations. - Xing Ji; Liang Pan; Wei Shyy; Kun Xu 001 (J. Comput. Phys., 2018)

A family of high-order gas-kinetic schemes and its comparison with Riemann solver based high-order methods. - Xing Ji; Fengxiang Zhao; Wei Shyy; Kun Xu 001 (J. Comput. Phys., 2018)

A unified gas-kinetic scheme for axisymmetric flow in all Knudsen number regimes. - Shiyi Li; Qibing Li; Song Fu; Kun Xu 001 (J. Comput. Phys., 2018)

High-order gas-kinetic scheme with three-dimensional WENO reconstruction for the Euler and Navier-Stokes solutions. - Liang Pan; Kun Xu 001 (CoRR, 2019)

On unified preserving properties of kinetic schemes. - Zhaoli Guo; Jiequan Li; Kun Xu 001 (CoRR, 2019)

A unified gas-kinetic scheme for continuum and rarefied flows VI: Dilute disperse gas-particle multiphase system. - Chang Liu 036; Zhao Wang; Kun Xu 001 (J. Comput. Phys., 2019)

An implicit unified gas-kinetic scheme for unsteady flow in all Knudsen regimes. - Yajun Zhu; Chengwen Zhong; Kun Xu 001 (J. Comput. Phys., 2019)

A Unified Gas-kinetic Scheme for Micro Flow Simulation Based on Linearized Kinetic Equation. - Chang Liu 036; Kun Xu 001 (CoRR, 2020)

A three-dimensional unified gas-kinetic wave-particle solver for flow computation in all regimes. - Yipei Chen 001; Yajun Zhu; Kun Xu 001 (CoRR, 2020)

A HWENO reconstruction based high-order compact gas-kinetic scheme on unstructured mesh. - Xing Ji; Fengxiang Zhao; Wei Shyy; Kun Xu 001 (J. Comput. Phys., 2020)

Unified gas-kinetic wave-particle methods III: Multiscale photon transport. - Weiming Li; Chang Liu 036; Yajun Zhu; Jiwei Zhang 002; Kun Xu 001 (J. Comput. Phys., 2020)

Unified gas-kinetic wave-particle methods I: Continuum and rarefied gas flow. - Chang Liu 036; Yajun Zhu; Kun Xu 001 (J. Comput. Phys., 2020)

High-order ALE gas-kinetic scheme with WENO reconstruction. - Liang Pan; Fengxiang Zhao; Kun Xu 001 (J. Comput. Phys., 2020)

A velocity-space adaptive unified gas kinetic scheme for continuum and rarefied flows. - Tianbai Xiao; Chang Liu 036; Kun Xu 001; Qingdong Cai (J. Comput. Phys., 2020)

Ray effect in rarefied flow simulation. - Yajun Zhu; Chengwen Zhong; Kun Xu 001 (J. Comput. Phys., 2020)

Multiscale Simulation for the System of Radiation Hydrodynamics. - Wenjun Sun; Song Jiang 004; Kun Xu 001; Guiyu Cao (J. Sci. Comput., 2020)

A gradient-compression-based compact high-order gas-kinetic scheme on three-dimensional hybrid unstructured mesh. - Xing Ji; Wei Shyy; Kun Xu 001 (CoRR, 2021)

Three dimensional high-order gas-kinetic scheme for supersonic isotropic turbulence II: Coarse-graining analysis of compressible Ksgs budget. - Guiyu Cao; Liang Pan; Kun Xu 001 (J. Comput. Phys., 2021)

Unified gas-kinetic wave-particle methods V: Diatomic molecular flow. - Xiaocong Xu; Yipei Chen 001; Chang Liu 036; Zhi-Hui Li 004; Kun Xu 001 (J. Comput. Phys., 2021)

An Arbitrary-Lagrangian-Eulerian High-Order Gas-Kinetic Scheme for Three-Dimensional Computations. - Liang Pan; Kun Xu 001 (J. Sci. Comput., 2021)

Three-dimensional third-order gas-kinetic scheme on hybrid unstructured meshes for Euler and Navier-Stokes equations. - Yaqing Yang; Liang Pan; Kun Xu 001 (CoRR, 2022)

High-order gas-kinetic scheme with parallel computation for direct numerical simulation of turbulent flows. - Guiyu Cao; Liang Pan; Kun Xu 001 (J. Comput. Phys., 2022)

Comparison of the performance of high-order schemes based on the gas-kinetic and HLLC fluxes. - Xiaojian Yang; Xing Ji; Wei Shyy; Kun Xu 001 (J. Comput. Phys., 2022)

A compact high-order gas-kinetic scheme on unstructured mesh for acoustic and shock wave computations. - Fengxiang Zhao; Xing Ji; Wei Shyy; Kun Xu 001 (J. Comput. Phys., 2022)

UGKS-Based Implicit Iterative Method for Multiscale Nonequilibrium Flow Simulations. - Xiaocong Xu; Yajun Zhu; Chang Liu 036; Kun Xu 001 (SIAM J. Sci. Comput., 2022)

An entropy preserving implicit unified gas-kinetic wave-particle method for radiative transport equation. - Chang Liu 036; Weiming Li; Peng Song 017; Kun Xu 001 (CoRR, 2023)

Implicit high-order gas-kinetic schemes for compressible flows on three-dimensional unstructured meshes. - Yaqing Yang; Liang Pan; Kun Xu 001 (CoRR, 2023)

Direct modeling for computational fluid dynamics and the construction of high-order compact scheme for compressible flow simulations. - Fengxiang Zhao; Xing Ji; Wei Shyy; Kun Xu 001 (J. Comput. Phys., 2023)

Multiple solutions of nonlinear coupled constitutive relation model and its rectification in non-equilibrium flow computation. - Junzhe Cao; Sha Liu; Chengwen Zhong; Congshan Zhuo; Kun Xu 001 (Comput. Math. Appl., 2024)

A robustness-enhanced reconstruction based on discontinuity feedback factor for high-order finite volume scheme. - Hong Zhang; Xing Ji; Kun Xu 001 (CoRR, 2024)

Comparison of the high-order Runge-Kutta discontinuous Galerkin method and gas-kinetic scheme for inviscid compressible flow simulations. - Yixiao Wang; Xing Ji; Gang Chen; Kun Xu 001 (CoRR, 2024)

An Adaptive Reconstruction Method for Arbitrary High-Order Accuracy Using Discontinuity Feedback. - Hong Zhang; Yue Zhao; Xing Ji; Kun Xu 001 (CoRR, 2024)

A Gas-Kinetic Scheme for Maxwell Equations. - Zhigang Pu; Kun Xu 001 (CoRR, 2024)

Adaptive unified gas-kinetic scheme for diatomic gases with rotational and vibrational nonequilibrium. - Yufeng Wei; Wenpei Long; Kun Xu 001 (Comput. Phys. Commun., 2024)

Gas-kinetic scheme for partially ionized plasma in hydrodynamic regime. - Zhigang Pu; Chang Liu 036; Kun Xu 001 (J. Comput. Phys., 2024)

Implicit high-order gas-kinetic schemes for compressible flows on three-dimensional unstructured meshes I: Steady flows. - Yaqing Yang; Liang Pan; Kun Xu 001 (J. Comput. Phys., 2024)

High-order compact gas-kinetic scheme in arbitrary Lagrangian-Eulerian formulation. - Yue Zhang 057; Kun Xu 001 (J. Comput. Phys., 2024)

Two-step multi-resolution reconstruction-based compact gas-kinetic scheme on tetrahedral mesh. - Xing Ji; Fengxiang Zhao; Wei Shyy; Kun Xu 001 (J. Comput. Phys., 2024)

Unified gas-kinetic wave-particle methods VII: Diatomic gas with rotational and vibrational nonequilibrium. - Yufeng Wei; Yajun Zhu; Kun Xu 001 (J. Comput. Phys., 2024)

High-order compact gas-kinetic scheme for two-layer shallow water equations on unstructured mesh. - Fengxiang Zhao; Jianping Gan; Kun Xu 001 (J. Comput. Phys., 2024)

A Robustness-Enhanced Reconstruction Based on Discontinuity Feedback Factor for High-Order Finite Volume Scheme. - Hong Zhang; Xing Ji; Yue Zhao; Yuan Ding; Kun Xu 001 (J. Sci. Comput., 2024)

High-Order Gas-Kinetic Scheme in General Curvilinear Coordinate for iLES of Compressible Wall-Bounded Turbulent Flows. - Guiyu Cao; Liang Pan; Kun Xu 001; Shiyi Chen (J. Sci. Comput., 2024)

An efficiency and memory-saving programming paradigm for the unified gas-kinetic scheme. - Yue Zhang 057; Yufeng Wei; Wenpei Long; Kun Xu 001 (Comput. Phys. Commun., 2025)

Unified gas-kinetic wave-particle method for multiscale flow simulation of partially ionized plasma. - Zhigang Pu; Kun Xu 001 (J. Comput. Phys., 2025)

Implicit high-order gas-kinetic schemes for compressible flows on three-dimensional unstructured meshes II: Unsteady flows. - Yaqing Yang; Liang Pan; Kun Xu 001 (J. Comput. Phys., 2025)

Unified gas-kinetic wave-particle method for frequency-dependent radiation transport equation. - Xiaojian Yang; Yajun Zhu; Chang Liu 036; Kun Xu 001 (J. Comput. Phys., 2025)

A generalized ENO reconstruction in compact GKS for compressible flow simulations. - Fengxiang Zhao; Kun Xu 001 (CoRR, 2025)

A well-balanced gas-kinetic scheme with adaptive mesh refinement for shallow water equations. - Gaocheng Liu; Fengxiang Zhao; Jianping Gan; Kun Xu 001 (CoRR, 2025)