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We investigate three-dimensional turbulence in a stably stratified fluid driven by a vertically sheared Kolmogorov flow using direct numerical simulations of the Boussinesq equations. As stratification increases, mean profiles evolve toward…

Fluid Dynamics · Physics 2025-12-16 Alessandro Sozza , Andrea Maffioli

The high dimensionality and complex dynamics of turbulent flows in urban street canyons present significant challenges for wind and environmental engineering, particularly in addressing air quality, pollutant dispersion, and extreme wind…

Fluid Dynamics · Physics 2025-01-24 Tomek Jaroslawski , Aakash Patil , Beverley McKeon

A multi-fidelity regression model is proposed for combining multiple datasets with different fidelities, particularly abundant low-fidelity data and scarce high-fidelity observations. The model builds upon recent multi-fidelity frameworks…

Fluid Dynamics · Physics 2023-11-21 Mohammad Hossein Saadat

The energy spectrum of superfluid turbulence is studied numerically by solving the Gross-Pitaevskii equation. We introduce the dissipation term which works only in the scale smaller than the healing length, to remove short wavelength…

Other Condensed Matter · Physics 2009-11-10 M. Kobayashi , M. Tsubota

The gas motions in the intracluster medium (ICM) are governed by stratified turbulence. Stratified turbulence is fundamentally different from Kolmogorov (isotropic, homogeneous) turbulence; kinetic energy not only cascades from large to…

Astrophysics of Galaxies · Physics 2020-03-26 Rajsekhar Mohapatra , Christoph Federrath , Prateek Sharma

Perturbation theory (PT) is often used to model statistical observables capturing the translation and rotation-invariant information in cosmological density fields. PT produces higher-order corrections by integration over linear statistics…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-07 Zachary Slepian

The present paper implements a complex analytic method to recover the spectrum of a matrix perturbed by either the addition or the multiplication of a random matrix noise, under the assumption that the distribution of the noise is unitarily…

Probability · Mathematics 2020-11-25 Pierre Tarrago

A central problem of turbulence theory is to produce a predictive model for turbulent fluxes. These have profound implications for virtually all aspects of the turbulence dynamics. In magnetic confinement devices, drift-wave turbulence…

Plasma Physics · Physics 2020-07-01 R. A. Heinonen , P. H. Diamond

Krylov subspace recycling is a powerful tool for solving long series of large, sparse linear systems that change slowly. In PDE constrained shape optimization, these appear naturally, as hundreds or more optimization steps are needed with…

Numerical Analysis · Mathematics 2020-10-23 Matthias Bolten , Eric de Sturler , Camilla Hahn

This paper demonstrates the efficient extraction of unstable recurrent flows from two-dimensional turbulence by using nonlinear triads to diagnose recurrence in direct numerical simulations. Nearly recurrent episodes are identified from…

Fluid Dynamics · Physics 2024-08-12 Edward M. Redfern , Andrei L. Lazer , Dan Lucas

Classical iterative methods for tomographic reconstruction include the class of Algebraic Reconstruction Techniques (ART). Convergence of these stationary linear iterative methods is however notably slow. In this paper we propose the use of…

Numerical Analysis · Mathematics 2015-01-22 Siegfried Cools , Pieter Ghysels , Wim van Aarle , J. Sijbers , Wim Vanroose

We relate the intermittent fluctuations of velocity gradients in turbulence to a whole range of local dissipation scales generalizing the picture of a single mean dissipation length. The statistical distribution of these local dissipation…

Fluid Dynamics · Physics 2007-10-29 Joerg Schumacher

Hilbert-Huang transform is a method that has been introduced recently to decompose nonlinear, nonstationary time series into a sum of different modes, each one having a characteristic frequency. Here we show the first successful application…

Fluid Dynamics · Physics 2014-02-05 Y. X. Huang , Francois G. Schmitt , Z. M. Lu , Y. L. Liu

We investigate the scale dependence of fluctuations inside a realistic model of an evolving turbulent HII region and to what extent these may be studied observationally. We find that the multiple scales of energy injection from champagne…

Astrophysics of Galaxies · Physics 2015-06-22 S. -N. X. Medina , S. J. Arthur , W. J. Henney , G. Mellema , A. Gazol

An approach is given for solving large linear systems that combines Krylov methods with use of two different grid levels. Eigenvectors are computed on the coarse grid and used to deflate eigenvalues on the fine grid. GMRES-type methods are…

Numerical Analysis · Mathematics 2020-05-08 Ronald B. Morgan , Travis Whyte , Walter Wilcox , Zhao Yang

Exact solutions of conformal turbulence restricted on a upper half plane are obtained. We show that the inertial range of homogeneous and isotropic turbulence with constant enstrophy flux develops in a distant region from the boundary. Thus…

High Energy Physics - Theory · Physics 2010-02-05 B. K. Chung , Soonkeon Nam , Q-Han Park , H. J. Shin

We propose a sampling algorithm relying on a collective variable (CV) of mid-size dimension modelled by a normalizing flow and using non-equilibrium dynamics to propose full configurational moves from the proposition of a refreshed value of…

Statistical Mechanics · Physics 2024-07-29 Samuel Tamagnone , Alessandro Laio , Marylou Gabrié

We propose a unified approach to the formal long-wave reduction of several fluid models for thin-layer incompressible homogeneous flows driven by a constant external force like gravity. The procedure is based on a mathematical coherence…

Numerical Analysis · Mathematics 2013-06-17 François Bouchut , Sébastien Boyaval

This work primarily focuses on the study of three gradient reconstruction techniques applied to the calculation of viscous terms in a cell-centered, finite volume formulation for general unstructured grids. The work also addresses different…

Fluid Dynamics · Physics 2026-02-13 Frederico Bolsoni Oliveira , João Luiz F. Azevedo

A numerical scheme that uses multi-frequency Newton iterations to reconstruct a rough surface profile between two dielectric media is proposed. At each frequency sample, the scheme employs Newton iterations to solve the nonlinear inverse…

Numerical Analysis · Mathematics 2024-08-29 Ahmet Sefer , Ali Yapar , Hakan Bagci
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