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From a new anti-parallel initial condition using long vortices, three-dimensional turbulence forms after two reconnection steps and the formation of at least one vortex ring. The long domain is needed in order to accommodate the multiple…

Fluid Dynamics · Physics 2013-01-21 Robert M. Kerr

A short distance expansion method (SDE) that is well known in the quantum field theory for analysis of turbulent behaviour of stochastic magnetic hydrodynamics of incompressible conductive fluid is applied. As a result is shown that in an…

chao-dyn · Physics 2016-08-31 Wolchenkov Dmitriy

Turbulence is a complex system exhibiting both universal statistical features and prominent coherent structures. We model turbulence using coherent vortices distributed within a multi-scale statistical framework, termed `woven turbulence'.…

Fluid Dynamics · Physics 2025-12-04 Zishuo Han , Weiyu Shen , Yue Yang

Microswimming cells and robots exhibit diverse behaviours due to both their swimming and their environment. One of the core environmental features impacting inertialess swimming is background flows. While the influence of select flows,…

Fluid Dynamics · Physics 2025-10-30 Eamonn A. Gaffney , Kenta Ishimoto , Benjamin J. Walker

The acoustofluidic method holds great promise for manipulating microorganisms. When exposed to the steady vortex structures of acoustic streaming flow, these microorganisms exhibit intriguing dynamic behaviors, such as hydrodynamic trapping…

Fluid Dynamics · Physics 2025-04-25 Xuyang Sun , Wenchang Tan , Yi Man

Recently, an Enskog-type kinetic theory for Vicsek-type models for self-propelled particles has been proposed [T. Ihle, Phys. Rev. E 83, 030901 (2011)]. This theory is based on an exact equation for a Markov chain in phase space and is not…

Statistical Mechanics · Physics 2015-07-22 Thomas Ihle

In a two-dimensional model of the planetary atmosphere the compressible convective flow of vorticity represents a strong nonlinearity able to drive the fluid toward a quasi-coherent vortical pattern. This is similar to the highly organised…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Florin Spineanu , Madalina Vlad

Living materials at different length scales manifest active nematic features such as orientational order, nematic topological defects, and active nematic turbulence. Using numerical simulations we investigate the impact of fluid inertia on…

Soft Condensed Matter · Physics 2022-08-10 Roozbeh Saghatchi , Mehmet Yildiz , Amin Doostmohammadi

We study a model of fully developed turbulence of a compressible fluid, based on the stochastic Navier-Stokes equation, by means of the field theoretic renormalization group. In this approach, scaling properties are related to the fixed…

Statistical Mechanics · Physics 2017-04-21 N. V. Antonov , N. M. Gulitskiy , M. M. Kostenko , T. Lučivjanský

Large scale features of a randomly isotropically forced incompressible and unbounded rotating fluid are examined in perturbation theory. At first order in both the random force amplitude and the angular velocity we find two types of…

Fluid Dynamics · Physics 2009-11-10 Jose Gaite , David Hochberg , Carmen Molina-Paris

Suspensions of self-propelled particles are studied in the framework of two-dimensional (2D) Stokesean hydrodynamics. A formula is obtained for the effective viscosity of such suspensions in the limit of small concentrations. This formula…

Biological Physics · Physics 2009-11-13 Brian M. Haines , Igor S. Aranson , Leonid Berlyand , Dmitry A. Karpeev

Various microswimmers move along circles rather than straight lines due to their swimming mechanisms, body shapes or hydrodynamic effects. Here, we adopt the concepts of stochastic thermodynamics to analyze circle swimmers confined in a…

Soft Condensed Matter · Physics 2021-12-22 Zhiyu Cao , Huijun Jiang , Zhonghuai Hou

Fluids with internal microstructure like dense suspensions, biological and polymer added fluids, are commonly found in the turbulent regime in many applications. Their flow is extremely difficult to be studied as microstructure complexity…

Fluid Dynamics · Physics 2020-11-11 G. Sofiadis , I. E. Sarris

Marine plankton are usually modeled as settling elongated micro-swimmers. For the first time, we consider the torque induced by fluid inertia on such swimmers, and we discover that they spontaneously swim in the direction opposite to…

Biological Physics · Physics 2022-05-12 Jingran Qiu , Zhiwen Cui , Eric Climent , Lihao Zhao

Suspensions of swimming micro-organisms are known to undergo intricate collective dynamics as a result of hydrodynamic and collision interactions. Micro-swimmers, such as bacteria and micro-algae, naturally live and have evolved in complex…

Fluid Dynamics · Physics 2025-10-31 Yasser Almoteri , Enkeleida Lushi

The formation of velocity vortices and density clusters is an intriguing phenomenon of freely cooling granular flows. In this work, the critical length scale $L_c$ for the onset of instability is determined via stability analysis of the…

Statistical Mechanics · Physics 2016-01-20 Vicente Garzó

Despite their importance in many biological, ecological and physical processes, microorganismal fluid flows under tight confinement have not been investigated experimentally. Strong screening of Stokelets in this geometry suggests that the…

Biological Physics · Physics 2019-12-18 Raphaël Jeanneret , Dmitri O. Pushkin , Marco Polin

We investigate the stability, nonlinear development and equilibrium structure of vortices in a background shearing Keplerian flow. We make use of high-resolution global two-dimensional compressible hydrodynamic simulations. We introduce the…

Astrophysics · Physics 2009-11-13 G. Bodo , A. Tevzadze , G. Chagelishvili , A. Mignone , P. Rossi , A. Ferrari

We study the microrheology of active suspensions through direct hydrodynamic simulations using model pusher-like microswimmers. We demonstrate that the friction coefficient of a probe particle is notably reduced by hydrodynamic interactions…

Soft Condensed Matter · Physics 2023-12-19 Takahiro Kanazawa , Akira Furukawa

This study is concerned with how the attractor dimension of the two-dimensional Navier--Stokes equations depends on characteristic length scales, including the system integral length scale, the forcing length scale, and the dissipation…

Chaotic Dynamics · Physics 2007-05-23 Chuong V. Tran , Theodore G. Shepherd , Han-Ru Cho