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Collective behaviour in suspensions of microswimmers is often dominated by the impact of long-ranged hydrodynamic interactions. These phenomena include active turbulence, where suspensions of pusher bacteria at sufficient densities exhibit…

Soft Condensed Matter · Physics 2019-08-27 Dora Bardfalvy , Henrik Nordanger , Cesare Nardini , Alexander Morozov , Joakim Stenhammar

Based on Sirovich's two-fluid kinetic theory and a dodecagonal discrete velocity model, a two-dimensional 61-velocity finite-difference lattice Boltzmann method for the complete Navier-Stokes equations of binary fluids is formulated.…

Statistical Mechanics · Physics 2009-11-10 Aiguo Xu

Active nematics are out-of-equilibrium systems in which energy injection at the microscale drives emergent collective behaviors, from spontaneous flows to active turbulence. While the dynamics of these systems have been extensively studied,…

Soft Condensed Matter · Physics 2025-04-15 Ahmet Umut Akduman , Yusuf Sariyar , Giuseppe Negro , Livio Nicola Carenza

We study well-posedness and asymptotic dynamics of a coupled system consisting of linearized 3D Navier--Stokes equations in a bounded domain and a classical (nonlinear) full von Karman shallow shell equations that accounts for both…

Analysis of PDEs · Mathematics 2011-12-30 Igor Chueshov , Iryna Ryzhkova

We consider two minimal models of active fluid droplets that exhibit complex dynamics including steady motion, deformation, rotation and oscillating motion. First we consider a droplet with a concentration of active contractile matter…

Soft Condensed Matter · Physics 2016-12-20 Carl A. Whitfield , Rhoda J. Hawkins

We present a lattice-Boltzmann method that can simulate the coupled hydrodynamics and electrostatics equations of motion of a two-phase fluid as a means to model electrowetting phenomena. Our method has the advantage of modelling the…

Fluid Dynamics · Physics 2018-12-17 Élfego Ruiz-Gutiérrez , Rodrigo Ledesma-Aguilar

Complex fluid-fluid interfaces featuring mesoscale structures with adsorbed particles are key components of newly designed materials which are continuously enriching the field of soft matter. Simulation tools which are able to cope with the…

Soft Condensed Matter · Physics 2014-02-24 Marcello Sega , Mauro Sbragaglia , Sofia Sergeevna Kantorovich , Alexey Olegovich Ivanov

We show that certain infinitesimal operators of the Lie-point symmetries of the incompressible 3D Navier-Stokes equations give rise to vortex solutions with different characteristics. This approach allows an algebraic classification of…

Mathematical Physics · Physics 2009-10-31 V. Grassi , R. A. Leo , G. Soliani , P. Tempesta

Systems containing active components are intrinsically out of equilibrium, while binary mixtures reach their equilibrium configuration when complete phase separation is achieved. Active particles are found to stabilise non-equilibrium…

Soft Condensed Matter · Physics 2025-03-11 Javier Diaz , Ignacio Pagonabarraga

We study the asymptotic behavior of global solutions to hydrodynamical systems modeling the nematic liquid crystal flows under kinematic transports for molecules of different shapes. The coupling system consists of Navier-Stokes equations…

Analysis of PDEs · Mathematics 2012-10-24 Hao Wu , Xiang Xu , Chun Liu

We study the dynamics of a liquid droplet inside a gas over a large range of the Knudsen numbers. The moving liquid droplet is modeled by the incompressible Navier-Stokes equations, the surrounding rarefied gas by the Boltzmann equation.…

Numerical Analysis · Mathematics 2012-02-15 Sudarshan Tiwari , Axel Klar , Steffen Hardt

With the rapid development of studies involving droplet microfluidics, drug delivery, cell detection, and microparticle synthesis, among others, many scientists have invested significant efforts to model the flow of these fluid-filled…

We provide a minimal model for an active nematic film in contact with both a solid substrate and a passive isotropic fluid, and explore its dynamics in one and two dimensions using a combination of hybrid Lattice Boltzmann simulations and…

Soft Condensed Matter · Physics 2017-02-16 Matthew L. Blow , Marco Aqil , Benno Liebchen , Davide Marenduzzo

A mesoscopic multi-component lattice Boltzmann model with short-range repulsion between different species and short/mid-ranged attractive/repulsive interactions between like-molecules is introduced. The interplay between these composite…

Soft Condensed Matter · Physics 2010-09-14 Roberto Benzi , Sergio Chibbaro , Sauro Succi

When a nematic liquid crystal is confined in a porous medium with strong anchoring conditions, topological defects, called disclinations, are stably formed with numerous possible configurations. Since the energy barriers between them are…

Soft Condensed Matter · Physics 2015-06-12 Takeaki Araki

We investigate the occurrence of waterlike thermodynamic and dynamic anomalous behavior in a one dimensional lattice gas model. The system thermodynamics is obtained using the transfer matrix technique and anomalies on density and…

Soft Condensed Matter · Physics 2015-03-11 Marco Aurélio A. Barbosa , Fernando Vito Barbosa , Fernando Albuquerque de Oliveira

We study dynamics of clustering in systems containing active particles that are immersed in an explicit solvent. For this purpose we have adopted a hybrid simulation method, consisting of molecular dynamics and multi-particle collision…

Soft Condensed Matter · Physics 2021-01-01 Arabinda Bera , Soudamini Sahoo , Snigdha Thakur , Subir K. Das

We study the hydrodynamic behaviour of a mesoscale numerical model for wetting dynamics based on the immersed boundary - lattice Boltzmann (IBLB) method. This IBLB model features a wetting potential to capture the interaction between a…

Binary fluid mixtures are examples of complex fluids whose microstructure and flow are strongly coupled. For pairs of simple fluids, the microstructure consists of droplets or bicontinuous demixed domains and the physics is controlled by…

Soft Condensed Matter · Physics 2018-06-05 Michael E. Cates , Elsen Tjhung

In this paper, a lattice Boltzmann model is proposed to simulate solid-liquid phase change phenomena in multiphase systems. The model couples the thermal properties of the solidification front with the dynamics of the liquid droplet…

Fluid Dynamics · Physics 2024-04-04 Jiangxu Huang , Lei Wang , Zhenhua Chai , Baochang Shi
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