49 citations
3 papers
cond-mat.stat-mech2019★ 9 cited
A Kinetic Equation for Particle Transport in Turbulent Flows
De-yu Zhong, Guang-qian Wang, Tie-jian Li +2
One key issue in the probability density function (PDF) approach for disperse two-phase turbulent flows is to close the diffusion term in the phase space. This study aimed to deriv…
nlin.CD2019★ 49 cited
On the risks of using double precision in numerical simulations of spatio-temporal chaos
Tianli Hu, Shijun Liao
Due to the butterfly-effect, computer-generated chaotic simulations often deviate exponentially from the true solution, so that it is very hard to obtain a reliable simulation of c…
physics.flu-dyn2018★ 14 cited
A singularity-free analytic solution of rise dynamics of a liquid in a vertical cylindrical capillary
Xiaoxu Zhong, Bohua Sun, Shijun Liao
Capillary driven flow is a famous problem in fluid dynamics which dates back to Leonardo da Vinci. In this paper, we apply an analytic approximation method for highly nonlinear pro…