Publications
  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; https://doi.org/10.1063/5.0175016 ,(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, https://doi.org/10.1007/s10915-023-02347-7 ,(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, https://doi.org/10.1007/s42967-020-00112-3 ,(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, https://doi.org/10.1016/j.cnsns.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:/doi.org/10.12286/szjs.s2020-0714, (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, https://doi.org/10.1016/j.compfluid.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, https://doi.org/10.4208/eajam.281120.060421, (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, https://doi.org/10.4208/nmtma.OA-2020-0053, (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, https://doi.org/10.4208/eajam.141119.110220, (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) https://doi.org/10.1007/s40314-020-01253-0, (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) https://doi.org/10.1016/j.compfluid.2020.104719, (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), https://doi.org/10.1016/j.compfluid.2020.104625, (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. https://doi.org/10.1002/fld.4824, (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. https://doi.org/10.1007/s10915-019-01042-w, (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). https://doi.org//10.1007/s40430-018-1556-z (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). https://doi.org//10.1007/s40430-018-1077-9 (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). https://doi.org/10.1088/1873-7005/aa9d77 (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, http://dx.doi.org/10.1007/s10596-017-9672-x. (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, https://doi.org/10.1016/j.amc.2018.01.059 (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. http://doi.org/10.1002/fld.4463 (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. http://dx.doi.org/10.1016/j.compfluid.2016.04.032, (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. http://dx.doi.org/10.1016/j.compfluid.2015.05.028, (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. http://dx.doi.org/10.1016/j.compfluid.2014.04.021, (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. http://dx.doi.org/10.1063/1.477219, (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. http://dx.doi.org/10.1080/00207160.2011.622375, (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/j.jcp.2006.10.006, (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. https://doi.org/10.1103/PhysRevE.72.046309, (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/j.jcp.2005.04.010, (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)