Welcome to J. LI's Home Page
Email: jl305@cam.ac.uk
Room: BE202
Teaching
3A1
3D7
4A2
4M12
Part IA, Computing
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
Fluid Mechanics
Selected Publication (Sum of the Times Cited: 1712,
hindex: 18)
 [1] J. Li, 1995,
Calcul d'Interface Affine par Morceaux (piecewise linear interface calculation), C. R. Acad. Sci. Paris,
t.320, série IIb, p.391396 (Times Cited: 91)
 S. Zaleski, J. Li and S. Succi, 1995, Twodimensional
NavierStokes Simulation of Deformation
and Breakup of Liquid Patches, Phys. Rev. Lett.,
vol.75, p. 244247 (Times Cited: 45).
 J. Li, Y. Renardy, M. Renardy, 1998,
numerical study of
periodic disturbances on twolayer Couette flow, Phys. Fluids
10(12) 30563071 (Times Cited: 44).
 G. Chen, C. Kharif, S. Zaleski and J. Li, 1998,
Twodimensional NavierStokes simulation of breaking waves,
Phys. Fluids 11(1) 121133 (Times Cited: 124).
 J. Li, Y. Renardy, 1999,
Direct simulation of unsteady axisymmetric
coreannular flow with high viscosity ratio, Journal of Fluid
Mechanics, vol.391, p. 123149 (Times Cited: 39).
 D. Gueyffier, J. Li, A. Nadim, R. Scardovelli and
S. Zaleski, 1999, Volume of fluid interface tracking with smoothed surface stress methods for
threedimensional flows, J. Comp. Phys. vol.152, p.423456
(Times Cited: 497).
 J. Li, Y. Renardy and M. Renardy, 2000,
Numerical simulation of breakup of
a viscous drop in simple shear flow with a volumeoffluid method,
Phys. Fluids , 12(2), pp. 269282 (Times Cited: 164).
 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: 50).
 Jie Li and Yuriko Renardy, 2000, Shearinduced rupturing of a viscous drop in a Bingham liquid,
J. NonNewtonian Fluid Mechanics, 95: (23) 235251 (Times Cited: 28).
 M. Renardy, Y. Renardy, and J. Li, 2001, Numerical simulation of moving contact line problems using a
volumeoffluid method, J. Comp. Phys., 171:243263 (Times Cited: 139).
 Y. Renardy, V. Cristini, and J. Li, 2002, Drop fragment distribution under shear with inertia,
Int. J. Multiphase Flow, 28(7):11251147 (Times Cited: 29 ).
 J. Li and M. A. Fontelos, 2003,
Drop Dynamics on the BeadsonString Structure for Viscoelastic Jets: a Numerica
l Study. Phys. Fluids, vol. 15(4), pp. 922937 (Times Cited: 68).

Fontelos M. and Li J., 2004,
On the evolution and rupture of filaments in Giesekus and FENE models.
J. NonNewtonian Fluid Mech. , vol. 118, pp. 116 (Times Cited: 21 ).

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. 289314 (Times Cited: 28).

Clasen C., Eggers J., Fontelos M., Li J. and McKinley G., 2006,
The beadsonstring structure of viscoelastic jets.
J. Fluid Mech. , vol.~556, pp. 283308 (Times Cited: 133)
 Boeck, Li J., Lopez pages E., Yecko P., and Zaleski S., 2007,
Droplet formation in sheared liquidgas layers.
Theor. Comp. Fluid Dyn., vol. 21, pp. 5976. (Times Cited: 30)
 Li J., 2013, An arbitrary Lagrangian Eulerian method for
threephase flows with triple junction points.
J. Comput. Phys., , vol. 251, pp. 116.
 Li J., 2016, Macroscopic Model for HeadOn Binary Droplet Collisions in a Gaseous Medium. Phys. Review Letters, 117, 214502 (Times Cited: 9).