23 citations · 99 across the 56 of their papers we have counts for
5 papers · 1 filter
Monte-Carlo method for incompressible fluid flows past obstacles
Vladislav Cherepanov, Zhongmin Qian
We establish stochastic functional integral representations for incompressible fluid flows occupying wall-bounded domains using the conditional law duality for a class of diffusion…
Twin Brownian particle method for the study of Oberbeck-Boussinesq fluid flows
Jiawei Li, Zhongmin Qian, Mingyu Xu
We establish stochastic functional integral representations for solutions of Oberbeck-Boussinesq equations in the form of McKean-Vlasov-type mean field equations, which can be used…
Stochastic formulation of incompressible fluid flows in wall bounded regions
Zhongmin Qian
In this paper we establish a mathematical framework which may be used to design Monte-Carlo simulations for a class of time irreversible dynamic systems, such as incompressible flu…
Tracking the vortex motion by using Brownian fluid particles
Zhongmin Qian, Youchun Qiu, Yihuang Zhang
In this paper we propose a simple yet powerful vortex method to numerically approximate the dynamics of an incompressible flow. The idea is to sample the distribution of the initia…
On the transport equation for probability density functions of turbulent vorticity fields
Jiawei Li, Zhongmin Qian, Mingrui Zhou
The vorticity random field of turbulent flow is singled out as the main dynamical variable for the description of turbulence, and the evolution equation of the probability density…