Publications

  1. 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)
  2. 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)
  3. 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)
  4. 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)
  5. 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)
  6. 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)
  7. Yahui Wang, Wei Liu, Li Yuan*, Yulong Du, A lowered dimension reconstruction algorithm using cell edge interpolation for two-dimensional Euler equations, Physics of Gases 4 (3) (2019): 34-41. (pdf)
  8. 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. (pdf)
  9. 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)
  10. 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)
  11. 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)
  12. 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)
  13. 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)
  14. 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)
  15. 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. (pdf)
  16. 胡立军*, 袁礼, 一种基于 TV 分裂的真正多维 Riemann 解法器, 应用数学和力学,38 (3): 243-264, 2017. (pdf)
  17. 胡立军, 袁礼*, 一种基于 AUSM 分裂的真正多维HLL 格式, 气体物理,1 (6):22-35, 2016. (pdf)
  18. 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,34 (3):346-355, 2016. (pdf)
  19. 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 134-135:90-110, 2016. (pdf)
  20. 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. (pdf)
  21. 胡立军,袁礼*, 一种治愈强激波数值不稳定性的混合方法, 应用数学和力学 36(5):482-493, 2015. (pdf)
  22. Shifeng Wu*, Li Yuan, A hybrid FD-DEM solver for rigid particles in viscous fluid, Computers and Fluids 118:159-166, 2015. (pdf)
  23. 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. (pdf)
  24. 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)
  25. 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. (pdf)
  26. 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)
  27. 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. (pdf)
  28. Li Yuan, Numerical investigation of wavy and spiral Taylor-Gortler vortices in medium spherical gaps, Physics of Fluids 24, 124104, 2012. (pdf)
  29. 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)
  30. 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. (pdf)
  31. 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)
  32. Rang Yuhong*, Li Yuan, Modified alternating direction-implicit iteration method for linear systems from the incompressible Navier–Stokes equatios, International Journal of Computer Mathematics, 88(17), 3762-3779, 2011. (pdf)
  33. 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. (pdf)
  34. 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. (pdf)
  35. 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. (pdf)
  36. 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. (pdf)
  37. 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. (pdf)
  38. 丁岩,袁礼*, 虚拟流体方法中Riemann问题定义方式的改进, 计算物理, 27(4), 501-508, 2010. (pdf)
  39. 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. (pdf)
  40. 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.(pdf)
  41. 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) / 计算物理 27 (4), 509-517,2010. (pdf)
  42. 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. (pdf)
  43. 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)
  44. 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)
  45. 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. (abstract, pdf)
  46. 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)
  47. Li Yuan, Sonochemical effects on single-bubble sonoluminescence, Phys. Rev. E, 72, 046309, 2005. https://doi.org/10.1103/PhysRevE.72.04630, (abstract, pdf)
  48. 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. (abstract, pdf)
  49. 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)
  50. 张镭,袁礼, Ghost Fluid 方法与双介质可压缩流动计算, 计算物理 20(6), 503-508, 2003. (abstract, caj)
  51. 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)
  52. Li Yuan, Comparison of implicit multigrid schemes for three-dimensional incompressible flows, Journal of Computational Physics,177 (1),134-155, 2002. (abstract, pdf)
  53. 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)
  54. 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. (abstract, pdf)
  55. 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)
  56. 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)
  57. 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)
  58. 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. (abstract, pdf)
  59. Guangwu Yan and Li Yuan, Lattice Bhatnagar-Gross-Krook model for Lorenz attractor, Physica D, 154, 43-50, 2001. (abstract, pdf)
  60. 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)
  61. 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)
  62. 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)
  63. 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)
  64. 袁礼, 忻鼎定, 三角翼的双襟翼控涡作用的数值模拟研究, 力学学报 32(2), 151-158, 2000. (abstract, caj)
  65. 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)
  66. 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)
  67. 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.2705,1998. (abstract, pdf)
  68. 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, 1998. (abstract, pdf)
  69. Li Yuan, Dexun Fu and Yanwen Ma, Periodic vortex breakdown in wide spherical gaps , Phys. Fluids 9(5), p.1479, 1997. (abstract, pdf)
  70. 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)
  71. 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)
  72. 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)
  73. 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), s13-s19, 1996. (abstract) (caj)
  74. 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 , p411, 1995. (abstract, pdf)
  75. 袁礼, 傅德薰和马延文 球形Taylor-Couette流分叉解的数值模拟研究 , 中国科学A辑25 (9),965-975, 1995. (abstract, pdf)
  76. 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)
  77. 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)
  78. 袁礼,吕志咏和J.M.Wu, 机翼/振动襟翼的非定常气动力计算 , 航空学报 11 (9), 1990, 515-520. (caj)