1. Haijun Yu, Itzhak Fouxon, Jianchun Wang, Xiangru Li, Li Yuan, Shipeng Mao, and Michael Mond, Lyapunov exponents and Lagrangian chaos suppression in compressible homogeneous isotropic turbulence, Phys. Fluids, 35 (2023): 125114; ,(pdf)
  2. Shiwei Liu, Li Yuan, A modified a posteriori subcell limiter for high order flux reconstruction scheme for one-dimensional detonation simulation, Journal of Scientific Computing, 97 (2023): article number 31, ,(pdf)
  3. Kunlei Zhao, Yulong Du, Li Yuan, A new sixth-order WENO scheme for solving hyperbolic conservation laws, Communications on Applied Mathematics and Computation, 5 (2023): 3-30, ,(pdf)
  4. Abdullah Shah, Muhammad Sohaib, Li Yuan, A numerical method for two-phase flow with its application to the Kelvin-Helmholtz instability problem, Communications in Nonlinear Science and Numerical Simulation, 125 (2023): 107334,, (pdf)
  5. 杜玉龙, 徐凯文, 赵昆磊, 袁礼*, 基于PHG平台的非结构四面体网格欧拉方程间断有限元并行求解器, 数值计算与计算机应用(Journal on Numerical Methods and Computer Applications), 42(2)(2021): pp. 155-168, https:/, (pdf) (in Chinese)
  6. Lijun Hu*, Li Yuan, A simple FORCE-type centred scheme accurate for contact discontinuities: Application to compressible Euler flows, Computers and Fluids,227 (2021): 105021,, (pdf)
  7. Yunchu Wang, Li Yuan*, Fixing the residual flattening of an upwind compact scheme for steady incompressible flows in enclosed domains, East Asian Journal on Applied Mathematics, 11(4) (2021): pp. 708-731,, (pdf)
  8. R.K. Mohanty*, Li Yuan, Divya Sharma, A new exponential compact scheme for the two-dimensional unsteady nonlinear Burgers' and Navier-Stokes equations in polar cylindrical coordinates, Numer. Math. Theor. Meth. Appl., 14(2) (2021): pp. 488-507,, (pdf)
  9. R.K. Mohanty*, Li Yuan, Divya Sharma, New compact scheme in exponential form for two-dimensional time-dependent Burgers and Navier-Stokes equations, East Asian Journal on Applied Mathematics, 10(3) (2020): pp. 437-454,, (pdf)
  10. Yulong Du, Yahui Wang, Li Yuan*, A high-order modified finite-volume method on Cartesian grids for nonlinear convection-diffusion problems, Computational and Applied Mathematics,39 (2020): 214 (20 pages), (pdf)
  11. Lijun Hu*, Li Yuan, Kunlei Zhao, Development of accurate and robust genuinely two-dimensional HLL-type Riemann solver for compressible flows, Computers and Fluids, 213 (2020): 104719 (15 pages), (pdf)
  12. Yahui Wang, Yulong Du, Kunlei Zhao, Li Yuan*, A new 6th-order WENO scheme with modified stencils, Computers and Fluids, 208 (2020): 104625 (16 pages),, (pdf)
  13. Yahui Wang, Yulong Du, Kunlei Zhao, Li Yuan*, A low-dissipation third-order weighted essentially nonoscillatory scheme with a new reference smoothness indicator, International Journal for Numerical Methods in Fluids, 92 (2020): 1212-1234., (pdf)
  14. Yahui Wang, Yulong Du, Kunlei Zhao, Li Yuan*, Modified stencil approximations for fifth-order weighted essentially non-oscillatory schemes, Journal of Scientific Computing, 81 (2019): 898-922., (pdf)
  15. 王亚辉, 刘伟, 袁礼*, 杜玉龙, 求解二维Euler方程有限单元边插值的降维重构算法, 气体物理 (Physics of Gases), 4(3) (2019): 34-41. (pdf) (in Chinese)
  16. Yulong Du, Li Yuan*, Yahui Wang, A High-order modified finite volume WENO method on 3D Cartesian grids, Commun. Comput. Phys., 26 (3) (2019), 768-784. doi: 10.4208/cicp.OA-2018-0254, (pdf)
  17. Suhail Abbas*, Li Yuan, Abdullah Shah, Numerical simulation of multiple steady and unsteady flow modes in a medium-gap spherical Couette flow, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 41 :49 (2019) (14 p). (pdf)
  18. Suhail Abbas, Li Yuan*, Abdullah Shah, Existence regime of symmetric and asymmetric Taylor vortices in wide-gap spherical Couette flow , Journal of the Brazilian Society of Mechanical Sciences and Engineering, 40:154 (2018) (15 p). (pdf)
  19. Suhail Abbas, Li Yuan*, Abdullah Shah, Simulation of spiral instabilities in wide-gap spherical Couette flow , Fluid Dynamics Research, 50 (2018) 025507 (17 p). (pdf)
  20. Li Yuan*, Wei Liu, Jian Zhai, Shifeng Wu, A.K. Patra, E.B.Pitman, Refinement on non-hydrostatic shallow granular flow model in a global Cartesian coordinate system , Computational Geosciences, 22 (2018): 87-106, (pdf)
  21. Shouguo Qian, Yu Liu, Gang Li*, Li Yuan, High order well-balanced discontinuous Galerkin methods for Euler equations at isentropic equilibrium state under gravitational fields , Applied Mathematics and Computation, 329 (2018): 23-37, (pdf)
  22. Gang Li*, Olivier Delestre, Li Yuan, Well-balanced discontinuous Galerkin method and finite volume WENO scheme based on hydrostatic reconstruction for blood flow model in arteries , International Journal for Numerical Methods in Fluids,86 (7) (2017) 491--508. (pdf)
  23. Abdullah Shah*, Sadia Saeed, Li Yuan, An artificial compressibility method for 3D phase-field model and its application to two-phase flows, International Journal of Computational Methods, 14 (2):1750059(14p), 2017. DOI: 10.1142/S0219876217500591, (pdf)
  24. 胡立军*, 袁礼, 一种基于TV分裂的真正多维Riemann解法器, 应用数学与力学 (Applied Mathematics and Mechanics), 38 (3): 243-264, 2017. (pdf) (in Chinese)
  25. 胡立军, 袁礼*, 一种基于AUSM分裂的真正多维HLL格式, 气体物理 (Physics of Gases), 1 (6):22-35, 2016. (pdf) (in Chinese)
  26. 袁礼*, 刘伟, 翟健, 坡面颗粒流开源软件TITAN2D的改进及应用, 山地学报 (Mountain Research), 34 (3):346-355, 2016. (pdf) (in Chinese)
  27. Jian Zhai, Wei Liu, Li Yuan*, Solving two-phase shallow granular flow equations with a well-balanced NOC scheme on multiple GPUs, Computers and Fluids, 134-135:p.90-110, 2016., (pdf)
  28. M. Rizwan*, A. Shah, L. Yuan, A central compact scheme for numerical solution of two-phase incompressible flow using Allen-Cahn phase field model, J Braz. Soc. Mech. Sci. Eng., 38(5):433-444, 2016. DOI:10.1007/s40430-015-0342-4, (pdf)
  29. 胡立军, 袁礼*, 一种治愈强激波数值不稳定性的混合方法, 应用数学与力学 (Applied Mathematics and Mechanics), 36(5):482-493, 2015. (pdf) (in Chinese)
  30. Shifeng Wu*, Li Yuan, A hybrid FD-DEM solver for rigid particles in viscous fluid, Computers and Fluids, 118:159-166, 2015., (pdf)
  31. Jian Zhai, Li Yuan*, Wei Liu, Xinting Zhang, Solving the Savage-Hutter equations for granular avalanche flows with a second-order Godunov type method on GPU, Int. J. Numer. Meth. Fluids, 77:381-399, 2015. DOI: 10.1002/fld.3988, (pdf)
  32. Shan Liang, Wei Liu, Li Yuan*, Solving seven-equation model for compressible two-phase flow using multiple GPUs, Computers and Fluids, 99:156-171, 2014., (pdf)
  33. Zhong-Zhi Bai*, Yu-Hong Ran, Li Yuan, On approximated ILU and UGS preconditioning methods for linearized discretized steady incompressible Navier-Stokes equations, Numerical Algorithms, 65:43-68, 2014. DOI: 10.1007/s11075-013-9694-y, (pdf)
  34. 袁礼, 刘伟, 胡立军, 张磊, 李彬, 球头体激波诱导燃烧问题的移动网格计算, 气体物理-理论与应用, 8 (4): 19-27, 2013. (pdf) (in Chinese)
  35. Bin Li, Li Yuan*, Convergence issues in using high-resolution schemes and lower-upper symmetric Gaus-Seidel method for steady shock-induced combustion problems, Int. J. Numer. Meth. Fluids, 71:1422-1437,2013. doi:10.1002/fld.3718, (pdf)
  36. Li Yuan, Numerical investigation of wavy and spiral Taylor-Gortler vortices in medium spherical gaps, Physics of Fluids, 24, 124104, 2012., (pdf)
  37. 梁珊, 刘伟, 袁礼*, 七方程可压缩多相流模型的HLLC格式及应用, 力学学报, 44(5):884-985, 2012. (pdf) (in Chinese)
  38. Abdullah Shah*, Li Yuan, Shamsul Islam, Numerical solution of unsteady Navier-Stokes equations on curvilinear meshes, Computers and Mathematics with Applications, 63:1548-1556, 2012. doi:10.1016/j.camwa.2012.03.047, (pdf)
  39. 袁礼*, 李彬, 几种高分辨率格式在计算定常超声速燃烧流动中的比较, 气体物理-理论与应用, 6 (4): 41-52, 2011. (doc) (in Chinese)
  40. Rang Yuhong*, Li Yuan, Modified alternating direction-implicit iteration method for linear systems from the incompressible Navier-Stokes equations, International Journal of Computer Mathematics, 88(17), 3762-3779, 2011., (pdf)
  41. Yan Ding*, Li Yang, Li Yuan, A finite difference real ghost fluid method on moving meshes with corner-transport upwind interpolation, Computers and Fluids, 49: 247-257, 2011. doi: 10.1016/j.compfluid.2011.06.004, (pdf)
  42. Wei Liu, Li Yuan, Chi-Wang Shu*, A Conservative modification to the ghost fluid method for compressible multiphase flows, Commun. Comput. Phys., 10 (4): 785-806, 2011. doi: 10.4208/cicp.201209.161010a, (pdf)
  43. Fei Teng, Li Yuan*, Tao Tang, A speed-up strategy for finite volume WENO schemes for hyperbolic conservation laws, Journal of Scientific Computing, 46 : 359-378, 2011. DOI:10.1007/s10915-010-9407-9, (pdf)
  44. Abdullah Shah*, Li Yuan, Numerical solution of a phase field model for incompressible two-phase flows based on artificial compressibility, Computers and Fluids, 42 :54-61, 2011. doi: 10.1016/j.compfluid.2010.10.021, (pdf)
  45. Yu-Hong Ran*, Li Yuan, On modified block SSOR iteration methods for linear systems from steady incompressible viscous flow problems, Applied Mathematics and Computation, 217:3050-3068, 2010. doi: 10.1016/j.amc.2010.08.039, (pdf)
  46. 丁岩, 袁礼*, 虚拟流体方法中界面处Riemann问题定义方式的改进, 计算物理 (Chinese Journal of Computational Physics), 27(4), 501-508, 2010. (pdf) (in Chinese)
  47. Abdullah Shah*, Li Yuan, and Aftab Khan, Upwind compact finite difference scheme for time-accurate solution of the incompressible Navier-Stokes equations, Applied Mathematics and Computation, 215, 3201-3213, 2010. doi:10.1016/j.amc.2009.10.001, (pdf)
  48. Li Yuan*, Hong Guo, Zhaohua Yin, On optimal message vector length for block single parallel partition algorithm in a three-dimensional ADI solver, Applied Mathematics and Computation, 215, 2565-2577, 2009. doi:10.1016/j.amc.2009.08.052, (pdf)
  49. 张磊, 袁礼*, 龙格库塔间断有限元方法在计算爆轰问题中的应用, 气体物理-理论与应用, 4(3), 221-229, 2009. (doc). also, 计算物理 27 (4), 509-517,2010. (pdf) (in Chinese)
  50. Abdullah Shah, Li Yuan*, Flux-difference splitting-based upwind compact schemes for the incompressible Navier-Stokes equations, Int. J. Numer. Meth. Fluids, 61 (5), 552-568, 2009. doi: 10.1002/fld.1965, (pdf)
  51. Hong Guo*, Li, Yuan, Zhaohua Yin, A block SPP algorithm for multidimensional tridiagonal equations with optimal message vector length, Journal of Algorithms & Computational Technology 3(2), 229-245, 2009. (pdf)
  52. Abdullah Shah, Hong Guo, Li Yuan*, A third-order upwind compact scheme on curvilinear meshes for the incompressible Navier-Stokes equations, COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 5(2-4), 712-729, 2009. (pdf)
  53. Li Yuan* and Tao Tang, Resolving the shock-induced combustion by an adaptive mesh redistribution method, Journal of Computational Physics, 224(2), 587-600, 2007. doi:10.1016/, (abstract, pdf)
  54. Li Yuan* and Ping He, Influence of sonochemistry on single-bubble sonoluminescence, Modern Physics Letters B, 19, Nos.28&29, 1711-1714, 2005. (abstract, pdf)
  55. Li Yuan, Sonochemical effects on single-bubble sonoluminescence, Phys. Rev. E, 72, 046309, 2005., (abstract, pdf)
  56. Zhaohua Yin, Li Yuan, and Tao Tang*, A new parallel strategy for two-dimensional incompressible flow simulations using pseudo-spectral methods, Journal of Computational Physics,210, 325-341, 2005. doi:10.1016/, (abstract, pdf)
  57. Li Yuan, Numerical study of multiple periodic flow states in spherical Couette flow, Science in China Ser. A-Mathematics,47 , Supp. 81-91, 2004. (abstract, pdf)
  58. 张镭, 袁礼*, 用改进的Level Set方法计算可压缩双介质流动, 计算物理, 20(6), 503-508, 2003. (abstract, caj) (in Chinese)
  59. Abdur Rashid* and Li Yuan, Convergence analysis of pseudospectral method with restraint operator for fluid flow with low Mach number, Appl. Comput. Math., 2(2), pp.135-142, 2003. (abstract, pdf)
  60. Li Yuan, Comparison of implicit multigrid schemes for three-dimensional incompressible flows, Journal of Computational Physics,177 (1),134-155, 2002. doi:10.1006/jcph.2002.7007, (abstract, pdf)
  61. 袁礼, 三维不可压N-S方程的多重网格求解, 计算物理, 19 (1), 23-29, 2002. (abstract, pdf) (in Chinese)
  62. C.Y. Ho, L. Yuan, M.-C. Chu*, P.T. Leung, and W. Wei, Effects of ionization in single-bubble sonoluminescence, Phys. Rev. E, 65, No.041201, 2002. doi:10.1103/PhysRevE.65.041201, (abstract, pdf)
  63. C.Y. Ho, L. Yuan, M.-C. Chu*, P.T. Leung, and W. Wei, Ionization and photon emission in single-bubble sonoluminescence, Europhys. Lett., 56(6), 891-897, 2001. (abstract, pdf)
  64. 张镭, 袁礼*, 用改进的耦合型level set方法计算一维双介质可压缩流动, 计算物理, 18(6): 511-516, 2001. (abstract, caj) (in Chinese)
  65. Guangwu Yan* and Li Yuan, A Lattice Boltzmann method for the chemical clock in the Belousov-Zhabotinski reaction, Chin. Phys. Lett., 18(7): 918-920, 2001. (abstract, pdf)
  66. L. Yuan*, C.Y. Ho, M.-C. Chu, and P.T. Leung, Role of gas density in the stability of single-bubble sonoluminescence, Phys. Rev. E, 64, No.016317, 2001. DOI: 10.1103/PhysRevE.64.016317, (abstract, pdf)
  67. Guangwu Yan* and Li Yuan, Lattice Bhatnagar-Gross-Krook model for Lorenz attractor, Physica D, 154: 43-50, 2001. (abstract, pdf)
  68. Guangwu Yan* and Li Yuan, Recovery of the scale-$\varepsilon^{2}$ pattern by lattice BGK model, Communications in nonlinear science & numerical simulation, 6(1): 40-44,2001. (abstract, pdf)
  69. Guangwu Yan* and Li Yuan, Lattice Boltzmann simulation for the spiral waves in the excitable medium , Communications in nonlinear science & numerical simulation, 5(4), 147-150, 2000. (abstract, pdf)
  70. Guangwu Yan* and Li Yuan, Lattice Boltzmann solver of the Rossler equation, Communications in nonlinear science & numerical simulation, 5(2): 64-68, 2000. (abstract, pdf)
  71. Guangwu Yan* and Li Yuan, Lattice Boltzmann model for the perfect gas flows with near-vacuum region, Communications in nonlinear science & numerical simulation, 5(2): 58-63, 2000. (abstract, pdf)
  72. 袁礼*, 忻鼎定, 三角翼的双襟翼控涡作用的数值模拟, 力学学报, 32(2): 151-158, 2000. (abstract, caj) (in Chinese)
  73. L. Yuan*, W. Wei, C.Y. Ho, M.-C. Chu, P.T. Leung, The real-gas effect in single-bubble sonoluminescence , Communications in nonlinear science & numerical simulation, 4 (1): 29-34, 1999. (abstract, pdf)
  74. Yuan Li* and Xin Dingding, Comparison of the experimental and computational study on the effects of vortex control by deflecting flaps on a highly swept delta wing , Chinese Journal of Aeronautics, 11(4): 257-264, 1998. (abstract, caj)
  75. H.Y. Cheng, M.-C. Chu*, P.T. Leung, and L. Yuan, How important are shock waves to single-bubble sonoluminescence? , Physical Review E,(Rapid Communication), 58(3): R.2705-2708, 1998. (abstract, pdf)
  76. L. Yuan, H.Y. Cheng, M.-C. Chu*, P.T. Leung, Physical parameters affecting sonoluminscence: a self-consistent hydrodynamic study , Physical Review E, 57 (4): p.4265-4280, 1998. (abstract, pdf)
  77. Li Yuan*, Dexun Fu and Yanwen Ma, Periodic vortex breakdown in wide spherical gaps , Phys. Fluids, 9(5), p.1479-1481, 1997. (abstract, pdf)
  78. 袁礼*, 傅德薰, 马延文, 二维Euler方程的非结构网格再生成自适应方法, 空气动力学学报, 15 (2): 226-231, 1997 (abstract, caj) (in Chinese)
  79. 忻鼎定*, 余光志, 袁礼, 大后掠翼大迎角定常与非定常俯仰气动特性及其控制, 航空学报, 18 (2): 129-134, 1997. (abstract, caj) (in Chinese)
  80. Yuan Li*, Fu Dexun and Ma Yanwen, Numerical study of bifurcation solutions of spherical Taylor-Couette flow , Science in China Ser. A, 39 (2), 187-196, 1996. (abstract, pdf)
  81. 袁礼, 忻鼎定*, 庄逢甘, 不同轴长比椭球体的绕流计算与分离形态分析, , 航空学报, 17 (7, supp): s14-20, 1996. (abstract) (caj) (in Chinese)
  82. Yuan Li*, Fu Dexun and Ma Yanwen, Numerical simulation of the axisymmetric unsteady incompressible flow by a vorticity-velocity method , International Journal for Numerical Methods in Fluids , 21 : 401-411, 1995. (abstract, pdf)
  83. 袁礼*, 傅德薰, 马延文, 球形Couette流分叉解的数值模拟, , 中国科学 (Series A), 25 (9): 965-975, 1995. (abstract, pdf) (in Chinese)
  84. 袁礼*, 傅德薰, 拟压缩性方法在非定常球形Couette流模拟中的应用, 水动力学研究与进展, 10 (2) : 222-229, 1995. (abstract, pdf) (in Chinese)
  85. 袁礼, 忻鼎定*, 湍流应力模式对计算有分离三维边界层的效果研究, 空气动力学学报, 12 (2): 130-138, 1994. (abstract) (caj) (in Chinese)
  86. 袁礼, 吕志咏*, 吴建民(J.M. Wu), 机翼及振动襟翼的非定常气动力计算, 航空学报, 11 (9):515-520, 1990. (abstract) (caj) (in Chinese)