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We demonstrate that a separation of the velocity field in large and small scales according to a streamwise Fourier decomposition identifies subspaces with stable Lyapunov exponents and allows the dynamics to exhibit properties of an…

Fluid Dynamics · Physics 2022-10-27 Marios-Andreas Nikolaidis , Petros J. Ioannou

Sequential recommendation (SR) aims to predict users' subsequent interactions by modeling their sequential behaviors. Recent studies have explored frequency domain analysis, which effectively models periodic patterns in user sequences.…

Information Retrieval · Computer Science 2025-08-20 Ilwoong Baek , Mincheol Yoon , Seongmin Park , Jongwuk Lee

Recently, differentiable volume rendering in neural radiance fields (NeRF) has gained a lot of popularity, and its variants have attained many impressive results. However, existing methods usually assume the scene is a homogeneous volume so…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Jen-I Pan , Jheng-Wei Su , Kai-Wen Hsiao , Ting-Yu Yen , Hung-Kuo Chu

Motivated by empirical evidence from the joint behavior of realized volatility time series, we propose to model the joint dynamics of log-volatilities using a multivariate fractional Ornstein-Uhlenbeck process. This model is a multivariate…

Statistical Finance · Quantitative Finance 2026-05-19 Ranieri Dugo , Giacomo Giorgio , Paolo Pigato

We present a multiscale description of hydrodynamic turbulence in incompressible fluid based on a continuous wavelet transform (CWT) and a stochastic hydrodynamics formalism. Defining the stirring random force by the correlation function of…

Soft Condensed Matter · Physics 2015-06-24 M. V. Altaisky

The Frisch-Parisi multifractal formalism remains the most compelling rationalisation for anomalous scaling in fully developed turbulence. We now show that this formalism can be adapted locally to reveal the spatial distribution of…

Fluid Dynamics · Physics 2023-07-13 Siddhartha Mukherjee , Sugan D. Murugan , Ritwik Mukherjee , Samriddhi Sankar Ray

We use an Autoregressive (AR) approach combined with a Maximum Entropy Method (MEM) to estimate radial surface currents from coastal High-Frequency Radar (HFR) complex voltage time series. The performances of this combined AR-MEM model are…

Signal Processing · Electrical Eng. & Systems 2020-12-22 Baptiste Domps , Dylan Dumas , Charles-Antoine Guérin , Julien Marmain

Scale interaction is studied in wall-bounded turbulence by focusing on the frequency modulation (FM) mechanism of large scales on small scale velocity fluctuations. Differently from amplitude modulation analysis, frequency modulation has…

Fluid Dynamics · Physics 2021-05-19 Giovanni Iacobello , Luca Ridolfi , Stefania Scarsoglio

Turbulence is a complex system exhibiting both universal statistical features and prominent coherent structures. We model turbulence using coherent vortices distributed within a multi-scale statistical framework, termed `woven turbulence'.…

Fluid Dynamics · Physics 2025-12-04 Zishuo Han , Weiyu Shen , Yue Yang

We consider turbulence induced by an arbitrary forcing and derive turbulence amplitude and turbulent transport coefficients, first by using a quasi-linear theory and then by using a multi-scale renormalisation analysis. With an isotropic…

Astrophysics · Physics 2009-11-13 Nicolas Leprovost , Eun-Jin Kim

In recent works, we proposed a hypothesis, according to which turbulence in gases is created by the mean field effect of an intermolecular potential. We discovered that, in a numerically simulated inertial flow, turbulent solutions indeed…

Fluid Dynamics · Physics 2023-10-18 Rafail V. Abramov

The higher-order mean velocity profile in the convective atmospheric boundary layer (CBL) is derived using the method of matched asymptotic expansions. The universal expansion coefficients are obtained using field measurement data. The…

Fluid Dynamics · Physics 2026-02-17 Chenning Tong , Davoud Pourabdollah , Kirill Barskov , Mengjie Ding

Turbulence modeling is a classical approach to address the multiscale nature of fluid turbulence. Instead of resolving all scales of motion, which is currently mathematically and numerically intractable, reduced models that capture the…

Fluid Dynamics · Physics 2018-12-10 Rui Fang , David Sondak , Pavlos Protopapas , Sauro Succi

We present a resolvent-based framework for estimating turbulent velocity fluctuations in the wake of a spanwise-periodic NACA0012 airfoil at Mach 0.3, Reynolds number 23,000, and an angle of attack of 6 degrees. Building on the methodology…

Fluid Dynamics · Physics 2025-07-28 Junoh Jung , Aaron Towne

We compare results from a spectral model for non-stationary, inhomogeneous turbulence (Besnard et al., Theor. Comp. Fluid. Dyn., vol. 8, pp 1-35, 1996) with Direct Numerical Simulation (DNS) data of a shear-free mixing layer (SFML)…

Fluid Dynamics · Physics 2016-08-03 Andrew D. Bragg , Susan Kurien , Timothy T. Clark

A study of a stable front propagating in a turbulent medium is presented. The front is generated through a reaction-diffusion equation, and the turbulent medium is statistically modeled using a Langevin equation. Numerical simulations…

chao-dyn · Physics 2009-10-30 A. C. Marti , F. Sagues , J. M. Sancho

The temporal fluctuations in global mean surface temperature is an example of a geophysical quantity which can be described using the notions of long-range persistence and scale invariance/scaling, but this description has suffered from…

Atmospheric and Oceanic Physics · Physics 2017-10-11 Hege-Beate Fredriksen , Martin Rypdal

A recent study in turbulent flow simulation demonstrated the potential of generative diffusion models for fast 3D surrogate modeling. This approach eliminates the need for specifying initial states or performing lengthy simulations,…

Fluid Dynamics · Physics 2024-07-30 Abdullah Saydemir , Marten Lienen , Stephan Günnemann

This study presents key enhancements in hydrodynamic modeling using the strip-based Morison's equation approach to enable rapid simulations of Floating Offshore Wind Turbines (FOWT). The modeling framework employs the relative form of the…

Atmospheric and Oceanic Physics · Physics 2025-08-05 Doyal Sarker , Md Sakif , Tri Ngo , Tuhin Das

Turbulent signals are known to exhibit burst-like activities, which affect the turbulence statistics at both large and small scales of the flow. In our study, we pursue this problem from the perspective of an event-based framework, where…

Fluid Dynamics · Physics 2023-01-26 Subharthi Chowdhuri , Tirtha Banerjee