5 citations · 13 across the 10 of their papers we have counts for
6 papers · 1 filter
Reply to the comments of McMullen et al. (arXiv:2510.04828)
Shijun Liao, Shijie Qin
McMullen et al. [1] comment that the numerical simulations that explicitly include random velocity fluctuations ``should exhibit a thermal-fluctuation-dominated range'' consistent…
Ultra-chaotic property of Navier-Stokes turbulence
Shijie Qin, Kun Xu, Shijun Liao
A chaotic system is called ultra-chaos when its statistics have sensitivity dependence on initial condition and/or other small disturbances. In this paper, using two-dimensional tu…
A paradox of the Navier-Stokes turbulence
Shijie Qin, Kun Xu, Shijun Liao
The Navier-Stokes (NS) equations as a turbulence model have been widely applied in lots of fields. The NS equations contain such a fundamental assumption that all small physical/ar…
Clean numerical simulation (CNS) of three-dimensional turbulent Kolmogorov flow
Shijie Qin, Shijun Liao
Turbulence holds immense importance across various scientific and engineering disciplines. The direct numerical simulation (DNS) of turbulence proposed by Orszag in 1970 is a miles…
Physical significance of artificial numerical noise in direct numerical simulation of turbulence
Shijun Liao, Shijie Qin
Using clean numerical simulation (CNS) in which artificial numerical noise is negligible over a finite, sufficiently long interval of time, we provide evidence, for the first time,…
Effects of appendages on the turbulence and flow noise of a submarine model using high-order scheme
Peng Jiang, Shijun Liao, Ling Liu +1
This study employs high-fidelity numerical simulations to investigate the influence of appendages on the turbulent flow dynamics and far-field acoustic radiation of the SUBOFF subm…