Research Interests

Initially trained as a pure mathematician, my real passion has migrated to applied sciences. I have been experimenting with classic numerical methods: Finite Difference, Finite Volume and Finite Element Methods. My real expertise lies, however, on Interface Tracking Method and the modelling of the physical phenomena on the interface. I am among the early pioneers [1] who worked out independently a second order Volume of Fluid (VOF) method, a very popular interface tracking method nowadays. I have worked on:

Computational Methods

• Adaptive Moving Mesh Generator
• Arbitrary Lagrangian Eulerian Methods

Fluid Mechanics

• Inkjet Printing
• Drop Rebounding on a Dry Smooth Surface
• Drop Splashing on a Dry Smooth Surface
• Drop Bouncing above Faraday Waves
• Multiphase Flows
• Non-Newtonian Fluid Flows
• Surfactant Problem
• Fluid-Structure Interaction.

Selected Publication

• [1] J. Li, 1995, Calcul d'Interface Affine par Morceaux (piecewise linear interface calculation), C. R. Acad. Sci. Paris, t.320, série IIb, p.391-396 (Times Cited: 67)

• S. Zaleski, J. Li and S. Succi, 1995, Two-dimensional Navier-Stokes Simulation of Deformation and Break-up of Liquid Patches, Phys. Rev. Lett., vol.75, p. 244-247 (Times Cited: 37).

• J. Li, Y. Renardy, M. Renardy, 1998, numerical study of periodic disturbances on two-layer Couette flow, Phys. Fluids 10(12) 3056-3071 (Times Cited: 38).

• G. Chen, C. Karrif, S. Zaleski and J. Li, 1998, Two-dimensional Navier-Stokes simulation of breaking waves, Phys. Fluids 11(1) 121-133 (Times Cited: 64).

• J. Li, Y. Renardy, 1999, Direct simulation of unsteady axisymmetric core-annular flow with high viscosity ratio, Journal of Fluid Mechanics, vol.391, p. 123-149 (Times Cited: 37).

• D. Gueyffier, J. Li, A. Nadim, R. Scardovelli and S. Zaleski, 1999, Volume of fluid interface tracking with smoothed surface stress methods for three-dimensional flows, J. Comp. Phys. vol.152, p.423-456 (Times Cited: 252).

• J. Li, Y. Renardy and M. Renardy, 2000, Numerical simulation of breakup of a viscous drop in simple shear flow with a volume-of-fluid method, Phys. Fluids , 12(2), pp. 269-282 (Times Cited: 103).

• J. Li, Y. Renardy, 2000, Numerical study of flows of two immiscible liquids at low Reynolds number, SIAM Review, Vol. 42, No. 3, pp.417 -- 439 (Times Cited: 42).

• Jie Li and Yuriko Renardy, 2000, Shear-induced rupturing of a viscous drop in a Bingham liquid, J. Non-Newtonian Fluid Mechanics, 95: (2-3) 235-251 (Times Cited: 28).

• M. Renardy, Y. Renardy, and J. Li, 2001, Numerical simulation of moving contact line problems using a volume-of-fluid method, J. Comp. Phys., 171:243-263 (Times Cited: 59).

• Y. Renardy, V. Cristini, and J. Li, 2002, Drop fragment distribution under shear with inertia, Int. J. Multiphase Flow, 28(7):1125-1147 (Times Cited: 21 ).

• J. Li and M. A. Fontelos, 2003, Drop Dynamics on the Beads-on-String Structure for Viscoelastic Jets: a Numerica l Study. Phys. Fluids, vol.15(4), pp. 922--937 (Times Cited: 36).

• Fontelos M. and Li J., 2004, On the evolution and rupture of filaments in Giesekus and FENE models. J. Non-Newtonian Fluid Mech. , Vol.118, pp. 1-16 (Times Cited: 14 ).

• Li J., Hesse M., Johanna Ziegler J. and Woods A. W., 2005. An Arbitrary Lagrangian Eulerian Method for the Interaction between a Free Surface and a Solid Structure. J. Compt. Phys., vol.~208, pp. 289-314 (Times Cited: 23).

• Clasen C., Eggers J., Fontelos M., Li J. and McKinley G., 2006, The beads-on-string structure of viscoelastic jets. J. Fluid Mech. , vol.~556, pp. 283-308 (Times Cited: 38)

• Boeck, Li J., Lopez pages E., Yecko P., and Zaleski S., 2007, Droplet formation in sheared liquid-gas layers. Theor. Comp. Fluid Dyn., vol.~21, pp. 59-76. (Times Cited: 20)