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Motivated by previous work on kinetic energy cascades in the ocean and atmosphere, we develop a spatio-temporal spectral transfer tool that can be used to study scales of variability in generalized dynamical systems. In particular, we use…

This work addresses linear transport in turbulent media, with emphasis on neutral particle (atoms, molecules) transport in magnetized fusion plasmas. A stochastic model for turbulent plasmas, based upon a multivariate Gamma distribution, is…

The structure and the dynamics of homogeneous turbulence are modified by the presence of body forces such that the Coriolis or the buoyancy forces, which may render a wide range of turbulence scales anisotropic. The corresponding…

Fluid Dynamics · Physics 2012-02-10 Fabien S. Godeferd

In this paper, pseudo-transient continuation method has been modified and implemented in power system long-term stability analysis. This method is a middle ground between integration and steady state calculation, thus is a good compromise…

Systems and Control · Computer Science 2016-11-18 Xiaozhe Wang , Hsiao-Dong Chiang

A phenomenological model for the dissipation of scalar fluctuations due to the straining by the fluid motion is proposed in this letter. An explicit equation is obtained for the time evolution of the probability distribution function of a…

Fluid Dynamics · Physics 2015-06-26 Antoine Venaille , Joel Sommeria

Sediment transport over an erodible sediment bed is studied by particle resolved simulations with a hybrid parallel approach. To overcome the challenges of load imbalance in the traditional domain decomposition method when encountering…

Fluid Dynamics · Physics 2022-07-27 Zhengping Zhu , Ruifeng Hu , Yinghaonan Lei , Lian Shen , Xiaojing Zheng

Eigenvalue analysis is a well-established tool for stability analysis of dynamical systems. However, there are situations where eigenvalues miss some important features of physical models. For example, in models of incompressible fluid…

Numerical Analysis · Mathematics 2017-10-23 Howard C. Elman , David J. Silvester

We describe computational tools that have been developed to simulate dynamical mass transfer in semi-detached, polytropic binaries that are initially executing synchronous rotation upon circular orbits. Initial equilibrium models are…

Astrophysics · Physics 2009-11-06 Patrick M Motl , Joel E Tohline , Juhan Frank

Stochastic systems feature, in general, both coherent dynamics and incoherent transitions between different states. We propose a method to identify the coherent part in the full counting statistics for the transitions. The proposal is…

Mesoscale and Nanoscale Physics · Physics 2018-07-10 Philipp Stegmann , Jürgen König , Stephan Weiss

We present the results of a numerical investigation of charged-particle transport across a synthesized magnetic configuration composed of a constant homogeneous background field and a multiscale perturbation component simulating an effect…

Statistical Mechanics · Physics 2007-05-23 Francesco Chiaravalloti , Alexander V. Milovanov , Gaetano Zimbardo

The radiative transport equation accurately describes light transport in participating media such as biological tissues, though analytic solutions are known only for simple geometries. We present a pseudospectral technique to efficiently…

Computational Physics · Physics 2019-03-19 Samuel Powell , Ben T. Cox , Simon R. Arridge

In this article, we introduce a new mathematical framework that can describe the budget of turbulence kinetic energy and heat transfer in both physical space and scale space of turbulence. We derived two exact transport equations for…

Fluid Dynamics · Physics 2024-11-27 Endale H. Kirubel , P. Aswin , A. Sameen

Closure models for the turbulent scalar flux are an important source of uncertainty in Reynolds-averaged-Navier-Stokes (RANS) simulations of scalar transport. This paper presents an approach to quantify this uncertainty in simulations of…

Fluid Dynamics · Physics 2020-08-12 Zengrong Hao , Catherine Gorlé

The parallel computational complexity of the quadratic map is studied. A parallel algorithm is described that generates typical pseudotrajectories of length t in a time that scales as log t and increases slowly in the accuracy demanded of…

Chaotic Dynamics · Physics 2015-06-26 J. Machta

We present a user-friendly open-source MATLAB\textsuperscript{\textregistered} package developed by the research group Turbulence, Wind energy and Stochastics (TWiSt) at the Carl von Ossietzky University of Oldenburg. Firstly, this package…

Fluid Dynamics · Physics 2023-01-19 André Fuchs , Swapnil Kharche , Matthias Wächter , Joachim Peinke

Synchrosqueezed transforms are non-linear processes for a sharpened time-frequency representation of wave-like components. They are efficient tools for identifying and analyzing wave-like components from their superposition. This paper is…

Statistics Theory · Mathematics 2016-08-10 Haizhao Yang

The large scale turbulent statistics of mechanically driven superfluid $^4$He was shown experimentally to follow the classical counterpart. In this paper we use direct numerical simulations to study the whole range of scales in a range of…

Other Condensed Matter · Physics 2018-02-28 L. Biferale , D. Khomenko , V. L'vov , A. Pomyalov , I. Procaccia , G. Sahoo

A statistically stationary turbulence with a mean shear gradient is realized in a flow driven by suitable body forces. The flow domain is periodic in downstream and spanwise directions and bounded by stress free surfaces in the normal…

Chaotic Dynamics · Physics 2009-10-31 Joerg Schumacher , Bruno Eckhardt

Lobe dynamics and escape from a potential well are general frameworks introduced to study phase space transport in chaotic dynamical systems. While the former approach studies how regions of phase space are transported by reducing the flow…

Dynamical Systems · Mathematics 2017-11-22 Shibabrat Naik , Francois Lekien , Shane D. Ross

In this paper a numerical procedure to simulate low diffusivity scalar turbulence is presented. The method consists of using a grid for the advected scalar with a higher spatial resolutions than that of the momentum. The latter usually…