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How predictable are turbulent flows? Here we use theoretical estimates and shell model simulations to argue that Eulerian spontaneous stochasticity, a manifestation of the non-uniqueness of the solutions to the Euler equation that is…

Fluid Dynamics · Physics 2024-02-20 Dmytro Bandak , Alexei Mailybaev , Gregory L. Eyink , Nigel Goldenfeld

Acoustic traps use forces exerted by sound waves to confine and transport small objects. The dynamics of an object moving in the force landscape of an acoustic trap can be significantly influenced by the inertia of the surrounding fluid…

Soft Condensed Matter · Physics 2024-03-19 Mia C. Morrell , David G. Grier

The Accretion-Ejection Instability (AEI) is explored numerically using a global 2d model of the inner region of a magnetised accretion disk. The disk is initially currentless but threaded by an external vertical magnetic field created by…

Astrophysics · Physics 2007-05-23 Stuart Caunt , Michel Tagger

We propose a sensor-restrained model for the shear viscosity term within the localized artificial diffusivity (LAD) scheme to stabilize compressible large-eddy simulations with low-pressure-core vortical structures. LAD methods are used in…

We study two types of intrinsic uncertainties, statistical errors and system size effects, in estimating shear viscosity via equilibrium molecular dynamics simulations and compare them with the corresponding uncertainties in evaluating the…

Chemical Physics · Physics 2018-09-05 Kang-Sahn Kim , Myung Hoon Han , Changho Kim , Zhen Li , George Em Karniadakis , Eok Kyun Lee

We describe a numerical method to simulate an elastic shell immersed in a viscous incompressible fluid. The method is developed as an extension of the immersed boundary method using shell equations based on the Kirchhoff-Love and the planar…

Numerical Analysis · Mathematics 2025-10-20 E. Givelberg

We analyse the results of direct numerical simulations of rotating convection in spherical shell geometries with stress-free boundary conditions, which develop strong zonal flows. Both the Ekman number and the Rayleigh number are varied. We…

Fluid Dynamics · Physics 2023-08-11 Justin A. Nicoski , Anne R. O'Connor , Michael A. Calkins

A novel simulation framework has been developed in this study for the direct numerical simulation of the aerodynamic breakup of a vaporizing drop. The interfacial multiphase flow with phase change is resolved using a consistent geometric…

Fluid Dynamics · Physics 2023-05-10 Bradley Boyd , Yue Ling

We investigate the impact of noise on a two-dimensional simple paradigmatic piecewise-smooth dynamical system. For that purpose we consider the motion of a particle subjected to dry friction and coloured noise. The finite correlation time…

Statistical Mechanics · Physics 2017-06-14 Paul M. Geffert , Wolfram Just

We review progress that has been made in utilizing one form of Direct Statistical Simulation (DSS) to describe geophysical and astrophysical flows that are anisotropic and inhomogeneous. We first explain the approach, which is based upon a…

Fluid Dynamics · Physics 2019-03-19 J. B. Marston , Wanming Qi , S. M. Tobias

(Abridged) We analyse the stability and evolution of power-law accretion disc models. These have midplane densities that follow radial power-laws, and have either temperature or entropy distributions that are power-law functions of…

Earth and Planetary Astrophysics · Physics 2015-06-11 Richard P. Nelson , Oliver Gressel , Orkan M. Umurhan

Numerical simulations are used to investigate the origins of the different wave velocities measured in dense granular samples assembled with different methods. Glass bead packings are prepared in the lab either by pouring and vibrating the…

Classical Physics · Physics 2009-01-21 Ivana Agnolin , Jean-Noël Roux , Pascal Massaad , Xiaoping Jia , Pierre Mills

Many dynamical interactions can induce eccentricities in astrophysical accretion disks. Disk eccentricities in turn seed a variety of instabilities, even in ideal hydrodynamics. We use 3D nonlinear simulations and 2+1D linear calculations…

Solar and Stellar Astrophysics · Physics 2025-10-30 Janosz W. Dewberry , Henrik N. Latter , Gordon I. Ogilvie , Sebastien Fromang

In this article we describe a stable partitioned algorithm that overcomes the added mass instability arising in fluid-structure interactions of light rigid bodies and inviscid compressible flow. The new algorithm is stable even for bodies…

Numerical Analysis · Mathematics 2015-06-11 J. W. Banks , W. D. Henshaw , B. Sjogreen

The connection between anomalous scaling of structure functions (intermittency) and numerical methods for turbulence simulations is discussed. It is argued that the computational work for direct numerical simulations (DNS) of fully…

Chaotic Dynamics · Physics 2009-11-11 Victor Yakhot , Katepalli R. Sreenivasan

Interacting fixed points in four-dimensional gauge theories coupled to matter are investigated using perturbation theory up to three loop order. It is shown how fixed points, scaling exponents, and anomalous dimensions are obtained as a…

High Energy Physics - Theory · Physics 2018-02-28 Andrew D. Bond , Daniel F. Litim , Gustavo Medina Vazquez , Tom Steudtner

A lack of software reproducibility has become increasingly apparent in the last several years, calling into question the validity of scientific findings affected by published tools. Reproducibility issues may have numerous sources of error,…

Neurons and Cognition · Quantitative Biology 2020-04-23 Gregory Kiar , Pablo de Oliveira Castro , Pierre Rioux , Eric Petit , Shawn T. Brown , Alan C. Evans , Tristan Glatard

Making good predictions of a physical system using a computer code requires the inputs to be carefully specified. Some of these inputs called control variables have to reproduce physical conditions whereas other inputs, called parameters,…

Computation · Statistics 2018-04-04 Guillaume Damblin , Pierre Barbillon , Merlin Keller , Alberto Pasanisi , Eric Parent

We consider a multiscale approach based on immersed methods for the efficient computational modeling of tissues composed of an elastic matrix (in two or three-dimensions) and a thin vascular structure (treated as a co-dimension two…

Numerical Analysis · Mathematics 2021-11-18 Luca Heltai , Alfonso Caiazzo

In two dimensional isotropic scale invariant theories, the time scaling of the entanglement entropy of a segment is fixed via the conformal symmetry. We consider scale invariance in a more general sense and show that in integrable theories…

High Energy Physics - Theory · Physics 2021-06-29 M. Reza Mohammadi Mozaffar , Ali Mollabashi