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Multiplicative cascades have been used in turbulence to generate fields with multifractal statistics and long-range correlations. Examples of continuous and causal stochastic processes which generate such a random field have been carefully…

Fluid Dynamics · Physics 2020-08-26 G. B. Apolinário , L. Moriconi

We present a numerical investigation of two-dimensional decaying turbulence in the Lagrangian framework. Focusing on single particle statistics, we investigate Lagrangian trajectories in a freely evolving turbulent velocity field. The…

Fluid Dynamics · Physics 2009-11-13 Michael Wilczek , Oliver Kamps , Rudolf Friedrich

Fully developed turbulence is analised with the lattice model employing vortex tube representation which is introduced recently by the authors. Several characteric features observed in experiments and direct numeric integrations are…

Condensed Matter · Physics 2007-05-23 Y-h. Taguchi , Hideki Takayasu

A new scaling law model for propagation of optical beams through atmospheric turbulence is presented and compared to a common scalar stochastic waveoptics technique. This methodology tracks the evolution of the important beam wavefront and…

Optics · Physics 2021-05-05 Sophia Potoczak Bragdon , Daniel Cargill , Jacob Grosek

We consider wave propagation through a 1D periodic network of slowly time-modulated interfaces. Each interface is modelled by time-dependent spring-mass jump conditions, where mass and rigidity interface parameters are modulated in time.…

Mathematical Physics · Physics 2026-03-31 Michaël Darche , Raphaël Assier , Sébastien Guenneau , Bruno Lombard , Marie Touboul

Numerical transport models based on the advection-dispersion equation (ADE) are built on the assumption that sub-grid cell transport is Fickian such that dispersive spreading around the average velocity is symmetric and without significant…

Geophysics · Physics 2017-03-30 Boris Baeumer , Yong Zhang , Rina Schumer

We propose a unified framework to study the turbulent transport problem from the perspective of nonequilibrium statistical mechanics. By combining Krarichnan's turbulence thermalization assumption and Ruelle's recent work on nonequilibrium…

Statistical Mechanics · Physics 2021-06-15 Yuanran Zhu

In this article we detail the use of machine learning for spatiotemporally dynamic turbulence model classification and hybridization for the large eddy simulations (LES) of turbulence. Our predictive framework is devised around the…

Fluid Dynamics · Physics 2019-05-15 Romit Maulik , Omer San , Jamey D. Jacob , Christopher Crick

We present a quantum-assisted generative algorithm for synthetic tracks of Lagrangian tracer particles in a turbulent shear flow. The parallelism and sampling properties of quantum algorithms are used to build and optimize a parametric…

Fluid Dynamics · Physics 2025-08-28 Julia Ingelmann , Fabian Schindler , Jörg Schumacher

We investigate the response of large inertial particle to turbulent fluctuations in a inhomogeneous and anisotropic flow. We conduct a Lagrangian study using particles both heavier and lighter than the surrounding fluid, and whose diameters…

Fluid Dynamics · Physics 2016-04-20 Nathanaël Machicoane , Romain Volk

Numerical and experimental turbulence simulations are nowadays reaching the size of the so-called big data, thus requiring refined investigative tools for appropriate statistical analyses and data mining. We present a new approach based on…

Fluid Dynamics · Physics 2017-01-05 Stefania Scarsoglio , Giovanni Iacobello , Luca Ridolfi

A new parallel algorithm utilizing partitioned global address space (PGAS) programming model to achieve high scalability is reported for particle tracking in direct numerical simulations of turbulent flow. The work is motivated by the…

Computational Physics · Physics 2020-05-28 Dhawal Buaria , P. K. Yeung

We report a detailed study of Eulerian and Lagrangian statistics from high resolution Direct Numerical Simulations of isotropic weakly compressible turbulence. Reynolds number at the Taylor microscale is estimated to be around 600. Eulerian…

Fluid Dynamics · Physics 2009-05-04 R. Benzi , L. Biferale , R. Fisher , D. Q. Lamb , F. Toschi

We present a numerical study of two-particle dispersion from point-sources in 3D incompressible Homogeneous and Isotropic turbulence, at Reynolds number Re \simeq 300. Tracer particles are emitted in bunches from localized sources smaller…

Fluid Dynamics · Physics 2015-06-05 R. Scatamacchia , L. Biferale , F. Toschi

This paper proposes stochastic models for the analysis of ocean surface trajectories obtained from freely-drifting satellite-tracked instruments. The proposed time series models are used to summarise large multivariate datasets and infer…

Applications · Statistics 2017-03-16 Adam M. Sykulski , Sofia C. Olhede , Jonathan M. Lilly , Eric Danioux

Motivated by systems in which droplets grow and shrink in a turbulence-driven supersaturation field, we investigate the problem of turbulent condensation in a general manner. Using direct numerical simulations we show that the turbulent…

Fluid Dynamics · Physics 2016-12-06 Christoph Siewert , Jeremie Bec , Giorgio Krstulovic

This paper exposes a novel exploratory formalism, which end goal is the numerical simulation of the dynamics of a cloud of particles weakly or strongly coupled with a turbulent fluid. Giventhe large panel of expertise of the list of…

Analysis of PDEs · Mathematics 2019-10-21 Ludovic Goudenège , Adam Larat , Julie Llobell , Marc Massot , David Mercier , Olivier Thomine , Aymeric Vié

Reconstructing 3D fluid velocity fields from sparse 2D video observations is a highly ill-posed inverse problem, demanding both transport consistency with observed motion and physical validity under fluid laws. Existing methods typically…

Graphics · Computer Science 2026-05-12 Ningxiao Tao , Baoquan Chen , Mengyu Chu

We study the Lagrangian dynamics of passive tracers in a simple model of a driven two-dimensional vortex resembling real-world geophysical flow patterns. Using a discrete approximation of the system's transfer operator, we construct a…

Chaotic Dynamics · Physics 2017-04-05 Michael Lindner , Reik V. Donner

The scaling of acceleration statistics in turbulence is examined by combining data from the literature with new data from well-resolved direct numerical simulations of isotropic turbulence, significantly extending the Reynolds number range.…

Fluid Dynamics · Physics 2022-06-13 Dhawal Buaria , Katepalli R. Sreenivasan