[HTML][HTML] Chaotic measures as an alternative to spectral measures for analysing turbulent flow

RDJG Ho, D Clark, A Berera - Atmosphere, 2024 - mdpi.com
Turbulence has associated chaotic features. In the past couple of decades, there has been
growing interest in the study of these features as an alternative means of understanding …

Statistics of the Inertial Energy Transfer Range in d-Dimensional Turbulence (2 ≤ d ≤ 3) in a Lagrangian Renormalized Approximation

T Gotoh, Y Kaneda - Atmosphere, 2023 - mdpi.com
Statistics in the inertial energy transfer range (IETR) of d-dimensional turbulence (2≤ d≤ 3)
are studied using a Lagrangian renormalized approximation (LRA). The LRA suggests that …

Statistical Dynamics and Subgrid Modelling of Turbulence: From Isotropic to Inhomogeneous

JS Frederiksen, V Kitsios, TJ O'Kane - arXiv preprint arXiv:2407.10085, 2024 - arxiv.org
Turbulence is the most important, ubiquitous, and difficult problem of classical physics.
Feynman viewed it as essentially unsolved, without a rigorous mathematical basis to …

Turbulence and Rossby Wave Dynamics with Realizable Eddy Damped Markovian Anisotropic Closure

JS Frederiksen, TJ O'Kane - Fluids, 2024 - mdpi.com
The theoretical basis for the Eddy Damped Markovian Anisotropic Closure (EDMAC) is
formulated for two-dimensional anisotropic turbulence interacting with Rossby waves in the …

Critical transition to a non-chaotic regime in isotropic turbulence

D Clark, A Armua, RDJG Ho, A Berera - Journal of Fluid Mechanics, 2022 - cambridge.org
We study the properties of homogeneous and isotropic turbulence in higher spatial
dimensions through the lens of chaos and predictability using numerical simulations. We …

Compatibility conditions allowing mono phasic oscillating solutions for the multidimensional incompressible Euler system

M Houbad - Indian Journal of Pure and Applied Mathematics, 2024 - Springer
We are interested in Cauchy's problem formed by a multidimensional incompressible Euler's
system and large amplitude oscillating initial data w (x, φ (x)/ε)∈ C 1 (Ω r 0, R n), with ε∈] 0 …

An upper critical dimension for dynamo action: A -dimensional closure model study

SD Murugan, G Krstulovic, D Vincenzi… - arXiv preprint arXiv …, 2024 - arxiv.org
We construct a $ d $-dimensional Eddy Damped Quasi-Normal Markovian (EDQNM)
Closure Model to study dynamo action in arbitrary dimensions. In particular, we find lower …

The Foundation and Validation of Sigmoid-Typed Functions for Fouling Formation Modelling of Crude Oil Flows

G Nugroho, NR Kurniawan, TR Biyanto… - … Research in Fluid …, 2023 - semarakilmu.com.my
The phenomenological model of fouling formation is investigated in this research which, the
parametrization method based on the species and energy equation is implemented. It is …

Chaos, statistics and inverse cascades in turbulent flows

A Armúa - 2023 - era.ed.ac.uk
Describing turbulence has been one of the most important unsolved problems of physics for
the last two centuries. Multiple attempts have been made and yet there is no successful …

Effect of spatial dimensionality on the chaotic properties of turbulent flow

D Clark - 2022 - era.ed.ac.uk
The phenomenon of fluid turbulence is found almost universally in the world around us,
however, there is still much that is not understood about the underlying physics. What is …