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Isotropic homogeneous hydromagnetic turbulence is studied using numerical simulations at resolutions of up to 1024^3 meshpoints. It is argued that, in contrast to the kinematic regime, the nonlinear regime is characterized by a spectral…

Astrophysics · Physics 2007-05-23 A. Brandenburg , N. E. L. Haugen , W. Dobler

Generalized Hydrodynamics is a recent theory that describes large scale transport properties of one dimensional integrable models. It is built on the (typically infinitely many) local conservation laws present in these systems, and leads to…

Statistical Mechanics · Physics 2020-03-11 Márton Borsi , Balázs Pozsgay , Levente Pristyák

The generalized hydrodynamic (GHD) approach has been extremely successful in describing the out-of-equilibrium properties of a great variety of integrable many-body quantum systems. It naturally extracts the large-scale dynamical degrees of…

High Energy Physics - Theory · Physics 2021-08-30 Olalla A. Castro-Alvaredo , Cecilia De Fazio , Benjamin Doyon , Francesco Ravanini

Conditions for the stability under linear perturbations around the homogeneous cooling state are studied for dilute granular gases of inelastic and rough hard disks or spheres with constant coefficients of normal ($\alpha$) and tangential…

Soft Condensed Matter · Physics 2021-09-16 Alberto Megías , Andrés Santos

We study the nonequilibrium dynamics of random spin chains that remain integrable (i.e., solvable via Bethe ansatz): because of correlations in the disorder, these systems escape localization and feature ballistically spreading…

Disordered Systems and Neural Networks · Physics 2019-05-22 Utkarsh Agrawal , Sarang Gopalakrishnan , Romain Vasseur

Direct and large eddy simulations of hydrodynamic and hydromagnetic turbulence have been performed in an attempt to isolate artifacts from real and possibly asymptotic features in the energy spectra. It is shown that in a hydrodynamic…

Astrophysics · Physics 2007-05-23 N. E. L. Haugen , A. Brandenburg

By performing molecular dynamics simulations with up to 132 million coarse-grained particles in half-micron sized boxes, we show that hydrodynamics quantitatively explains the finite-size effects on diffusion of lipids, proteins, and carbon…

Soft Condensed Matter · Physics 2018-07-04 Martin Vögele , Jürgen Köfinger , Gerhard Hummer

We present an adaptive multiresolution method for the numerical simulation of ideal magnetohydrodynamics in two space dimensions. The discretization uses a finite volume scheme based on a Cartesian mesh and an explicit compact Rung-Kutta…

Modelling micro- and meso-scopic scale thermodynamic and transport properties of soft condensed matter hinges upon its representation. This is especially relevant for polar solvents such as water, since these require effective…

Soft Condensed Matter · Physics 2026-04-17 Michael A. Seaton , Benjamin T. Speake , Ilian T. Todorov

Using a path integral approach, we derive and study the hydrodynamic equations and large deviation functions for three active lattice gases. After a review of the path integral for master equations, we first look at a one dimensional model…

Statistical Mechanics · Physics 2024-12-17 Luke Neville

Hydrodynamics is nowadays understood as an effective field theory that describes the dynamics of the long-wavelength and slow-time fluctuations of an underlying microscopic theory. In this work we extend the relativistic hydrodynamics to…

High Energy Physics - Theory · Physics 2020-05-27 Saulo M. Diles , Luis A. H. Mamani , Alex S. Miranda , Vilson T. Zanchin

We present a multiparticle collision dynamics (MPC) implementation of layered immiscible fluids $A$ and $B$ of different shear viscosities separated by planar interfaces. The simulated flow profile for imposed steady shear motion and the…

Soft Condensed Matter · Physics 2021-09-07 Zihan Tan , Vania Calandrini , Jan K. G. Dhont , Gerhard Nägele , Roland G. Winkler

The article describes parallel multiphysics simulations of charged particles in microfluidic flows with the waLBerla framework. To this end, three physical effects are coupled: rigid body dynamics, fluid flow modelled by a lattice Boltzmann…

Computational Engineering, Finance, and Science · Computer Science 2014-10-27 Dominik Bartuschat , Ulrich Rüde

We use a hydrodynamic model to describe the relaxation of optically injected currents in quantum wells on a picosecond time scale, numerically solving the continuity and velocity evolution equations with the Hermite-Gaussian functions…

Other Condensed Matter · Physics 2007-12-12 R. M. Abrarov , E. Ya. Sherman , J. E. Sipe

Hydrodynamic simulations have become irreplaceable in modern cosmology for exploring complex systems and making predictions to steer future observations. In Chapter 1, we begin with a philosophical discussion on the role of simulations in…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-20 Edoardo Altamura

This paper presents a comprehensive numerical framework for simulating radiation-plasma systems. The radiative transfer process spans multiple flow regimes due to varying fluid opacity across different regions, necessitating a robust…

Astrophysics of Galaxies · Physics 2025-12-24 Mingyu Quan , Kun Xu

We present an energy conserving space discretisation of the rotating shallow water equations using compatible finite elements. It is based on an energy and enstrophy conserving Hamiltonian formulation as described in McRae and Cotter…

Numerical Analysis · Mathematics 2024-12-20 Golo Wimmer , Colin Cotter , Werner Bauer

The theory of generalized hydrodynamics (GHD) was recently developed as a new tool for the study of inhomogeneous time evolution in many-body interacting systems with infinitely many conserved charges. In this letter, we show that it…

Statistical Mechanics · Physics 2017-11-15 Benjamin Doyon , Jérôme Dubail , Robert Konik , Takato Yoshimura

In this paper, an upwind GFDM is developed for the coupled heat and mass transfer problems in porous media. GFDM is a meshless method that can obtain the difference schemes of spatial derivatives by using Taylor expansion in local node…

Numerical Analysis · Mathematics 2022-05-02 Xiang Rao

A purely analytical wake model for wind turbines is derived, anchored exclusively in physical interactions between atmospheric turbulence and turbine dynamics, and thus inherently accounting for atmospheric stratification. Unlike empirical…

Atmospheric and Oceanic Physics · Physics 2025-10-21 Emeline Noël , Erwan Jézéquel , Pierre-Antoine Joulin