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The paper adopts parallel computing systems for predictive analysis in both CPU and GPU leveraging Spark Big Data platform. The traffic dataset is adopted to predict the traffic jams in Los Angeles County. It is collected from a popular…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-30 Dalyapraz Dauletbak , Junghoon Heo , Sooyoung Kim , Yeon Pyo Kim , Jongwook Woo

The complex small-scale statistics of turbulence are a result of the combined cascading dynamics through all scales of the flow. Predicting these statistics using fully resolved simulations at the high Reynolds numbers that typically occur…

Fluid Dynamics · Physics 2025-07-01 Lukas Bentkamp , Michael Wilczek

For a single timestep, a spectral solver is known to be more accurate than its finite-difference counterpart. However, as we show in this paper, turbulence simulations using the two methods have nearly the same accuracy. In this paper, we…

Fluid Dynamics · Physics 2025-08-15 Akash Rodhiya , Shashwat Bhattacharya , Mahendra K Verma

We present TURB-Lagr, a new open database of 3d turbulent Lagrangian trajectories, obtained by Direct Numerical Simulations (DNS) of the original Navier-Stokes equations in the presence of a homogeneous and isotropic forcing. The aim is to…

Fluid Dynamics · Physics 2024-09-24 Luca Biferale , Fabio Bonaccorso , Michele Buzzicotti , Chiara Calascibetta

Although there is an extensive literature on the eigenvalues of high-dimensional sample covariance matrices, much of it is specialized to independent components (IC) models -- in which observations are represented as linear transformations…

Statistics Theory · Mathematics 2023-05-05 Siyao Wang , Miles E. Lopes

ONE of the main goals in the development of theory of chaotic dynamical system has been to make progress in understanding of turbulence. The attempts to related turbulence to chaotic motion got strong impetus from the celebrated paper by…

Fluid Dynamics · Physics 2010-07-16 Zheng Ran

Phase-transition models are an important family of non-equilibrium continuum traffic flow models, offering properties like replicating complex traffic phenomena, maintaining anisotropy, and promising potentials for accommodating automated…

Numerical Analysis · Mathematics 2025-07-01 Shaoshuai Chu , Alexander Kurganov , Saeed Mohammadian , Zuduo Zheng

In this article we expand and develop the authors' recent proposed methodology for efficient stochastic superparameterization (SP) algorithms for geophysical turbulence. Geophysical turbulence is characterized by significant intermittent…

Computational Physics · Physics 2013-10-08 Ian Grooms , Andrew J Majda

Recent theoretical progress using multiscale asymptotic analysis has revealed various possible regimes of stratified turbulence. Notably, buoyancy transport can either be dominated by advection or diffusion, depending on the effective…

Fluid Dynamics · Physics 2024-11-20 Pascale Garaud , Greg P. Chini , Laura Cope , Kasturi Shah , Colm-cille P. Caulfield

This paper introduces a novel mathematical framework for examining the regularity and energy dissipation properties of solutions to the stochastic Navier-Stokes equations. By integrating Sobolev-Besov hybrid spaces, fractional differential…

Analysis of PDEs · Mathematics 2024-11-18 Rômulo Damasclin Chaves dos Santos , Jorge Henrique de Oliveira Sales

Modeling unresolved turbulence in astrophysical gasdynamic simulations can improve the modeling of other subgrid processes dependent on the turbulent structure of gas: from flame propagation in the interiors of combusting white dwarfs to…

Astrophysics of Galaxies · Physics 2025-11-19 Vadim A. Semenov

We develop and analyze a random field model for the reconstruction of turbulent velocity fluctuations from inhomogeneous characteristic flow quantities provided by RANS simulations that is accessible to both a rigorous analytical validation…

Probability · Mathematics 2026-04-30 Markus Antoni , Quinten Kürpick , Felix Lindner , Nicole Marheineke , Raimund Wegener

Traditionally, single realizations of the turbulent state have been the object of study in shear flow turbulence. When a statistical quantity was needed it was obtained from a spatial, temporal or ensemble average of sample realizations of…

Fluid Dynamics · Physics 2022-10-27 Brian F. Farrell , Petros J. Ioannou

A new theoretical approach to non-equilibrium statistical systems has recently been proposed by the author, a co-author and others. It is based on a variational principle which is associated with the discrepancy of a path through…

Statistical Mechanics · Physics 2019-08-06 Richard Kleeman

We present an analytical scheme, easily implemented numerically, to generate synthetic Gaussian turbulent flows by using a linear Langevin equation, where the noise term acts as a stochastic stirring force. The characteristic parameters of…

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

We present a flexible scalable open-source computational framework, named SECUReFoam, based on the finite-volume library OpenFOAM(R), for flow and transport problems in highly heterogeneous geological media and other porous materials. The…

Numerical Analysis · Mathematics 2022-12-22 Matteo Icardi , Eugenio Pescimoro , Federico Municchi , Juan H Hidalgo

The statistics of a passive scalar randomly emitted from a point source is investigated analytically. Our attention has been focused on the two-point equal-time scalar correlation function. The latter is indeed easily related to the…

Chaotic Dynamics · Physics 2009-11-13 Antonio Celani , Marco Martins Afonso , Andrea Mazzino

Markov Chain Monte Carlo (MCMC) algorithms are essential tools in computational statistics for sampling from unnormalised probability distributions, but can be fragile when targeting high-dimensional, multimodal, or complex target…

The deformation and dynamics of a single droplet in isotropic turbulence is studied using a Lattice Boltzmann diffuse interface model involving exact boundary flow conditions to allow for the creation of an external turbulent flow. We focus…

Fluid Dynamics · Physics 2021-12-21 Felix Milan , Luca Biferale , Mauro Sbragaglia , Federico Toschi

The self-similarity of a passive scalar in homogeneous isotropic decaying turbulence is investigated by the method of line segments (M. Gauding et al., Physics of Fluids 27.9 (2015): 095102). The analysis is based on a highly resolved…