6 citations · 8 across the 12 of their papers we have counts for
12 papers
A Randomized PDE Energy driven Iterative Framework for Efficient and Stable PDE Solutions
Yi Bing, Zheng Ran, Fu Jinyang +2
Efficient and stable solution of partial differential equations (PDEs) is central to scientific and engineering applications, yet existing numerical solvers rely heavily on matrix…
Decay and Eigenvalue Problems in Isotropic Turbulence
Zheng Ran
Based on the Karman-Howarth equation in 3D incompressible fluid, a new isotropic turbulence scale evolution equation and its related theory progress. The present results indicate t…
Nonlinear dynamical systems and bistability in linearly forced isotropic turbulence
Zheng Ran, Xing-jie Yuan
In this letter, we present an extensive study of the linearly forced isotropic turbulence. By using analytical method, we identify two parametric choices, of which they seem to be…
Integrability and Hamiltonian system in isotropic turbulence
Zheng Ran
We present developments of the Hamiltonian approach to problems of the freely decay of isotropic turbulence, and also consider specific applications of the modified Prelle-Singer p…
Probability Distribution of a Passive Scalar in Isotropic Turbulence
Zheng Ran, Xingjie Yuan, Yaoyao Wang
In this letter, we present developments of the Hamiltonian approach to problems of the probability distribution for a passive scalar in isotropic turbulence, and also considers spe…
Nonlinear dynamical systems and linearly forced isotropic turbulence
Zheng Ran
In this paper, we present an extensive study of linearly forced isotropic turbulence. By using an analytical method, we identified two parametric choices that are new to our knowle…