80 citations · 169 across the 5 of their papers we have counts for
5 papers
Lattice gas automaton approach to "Turbulent Diffusion"
Jean Pierre Boon, Eric Vanden Eijnden, David Hanon
A periodic Kolmogorov type flow is implemented in a lattice gas automaton. For given aspect ratios of the automaton universe and within a range of Reynolds number values, the avera…
Generalized Flows, Intrinsic Stochasticity, and Turbulent Transport
Weinan E, Eric Vanden Eijnden
The study of passive scalar transport in a turbulent velocity field leads naturally to the notion of generalized flows which are families of probability distributions on the space…
Statistical Theory for the Stochastic Burgers Equation in the Inviscid Limit
Weinan E, Eric Vanden Eijnden
A statistical theory is developed for the stochastic Burgers equation in the inviscid limit. Master equations for the probability density functions of velocity, velocity difference…
Another Note on Forced Burgers Turbulence
Weinan E, Eric Vanden Eijnden
The power law range for the velocity gradient probability density function in forced Burgers turbulence has been an issue of discussion recently. It is shown in [chao-dyn/9901006]…
Asymptotic Theory for the Probability Density Functions in Burgers Turbulence
Weinan E, Eric Vanden Eijnden
A rigorous study is carried out for the randomly forced Burgers equation in the inviscid limit. No closure approximations are made. Instead the probability density functions of vel…