Understanding inhomogeneous and anisotropic fluid flows requires mathematical and
computational tools that are tailored to such flows and distinct from methods used to …

The atmosphere and ocean are two of the most important components of the climate system,
and fluid dynamics is central to our understanding of both. This book provides a unified and …

This paper reviews results obtained using statistical state dynamics (SSD) that demonstrate
the benefits of adopting this perspective for understanding turbulence in wall-bounded shear …

Many turbulent flows undergo drastic and abrupt configuration changes with huge impacts.
As a paradigmatic example we study the multistability of jet dynamics in a barotropic beta …

Complex multiscale systems are ubiquitous in many areas. This research expository article
discusses the development and applications of a recent information-theoretic framework as …

Streamwise rolls and accompanying streamwise streaks are ubiquitous in wall-bounded
shear flows, both in natural settings, such as the atmospheric boundary layer, as well as in …

We present direct statistical simulation of jet formation on a β plane, solving for the statistics
of a fluid flow via an expansion in cumulants. Here we compare an expansion truncated at …

Quasilinear theory is often utilized to approximate the dynamics of fluids exhibiting
significant interactions between mean flows and eddies. We present a generalization of …

We parameterize sub‐grid scale (SGS) fluxes in sinusoidally forced two‐dimensional
turbulence on the β‐plane at high Reynolds numbers (Re∼ 25,000) using simple 2‐layer …

Turbulent dynamical systems characterized by both a high-dimensional phase space and a
large number of instabilities are ubiquitous among many complex systems in science and …