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We present a Lattice-Boltzmann method for simulating self-propelling (active) colloidal particles in two-dimensions. Active particles with symmetric and asymmetric force distribution on its surface are considered. The velocity field…

Soft Condensed Matter · Physics 2009-11-11 Sanoop Ramachandran , P. B. Sunil Kumar , I. Pagonabarraga

Biot's consolidation model is a classical model for the evolution of deformable porous media saturated by a fluid and has various interdisciplinary applications. While numerical solution methods to solve poroelasticity by typical schemes…

Numerical Analysis · Mathematics 2026-05-21 Stephan B. Lunowa , Barbara Wohlmuth

Most organic and inorganic surfaces (e.g., glass, nucleic acids or lipid membranes) become charged in aqueous solutions. The resulting ionic distribution induces effective interactions between the charged surfaces. Stacks of like-charged…

We present a lattice Boltzmann algorithm for liquid crystal hydrodynamics. The coupling between the tensor order parameter and the flow is treated consistently allowing investigation of a wide range of non-Newtonian flow behavior. We…

Soft Condensed Matter · Physics 2007-05-23 Colin Denniston , E. Orlandini , J. M. Yeomans

Entropic lattice Boltzmann methods have been developed to alleviate intrinsic stability issues of lattice Boltzmann models for under-resolved simulations. Its reliability in combination with moving objects was established for various…

Fluid Dynamics · Physics 2017-06-21 B. Dorschner , S. S. Chikatamarla , I. V. Karlin

The lattice Boltzmann method (LBM) is known to suffer from stability issues when the collision model relies on the BGK approximation, especially in the zero viscosity limit and for non-vanishing Mach numbers. To tackle this problem, two…

Computational Physics · Physics 2020-06-09 C. Coreixas , G. Wissocq , B. Chopard , J. Latt

We present a numerical study of the dynamics of a non-ideal fluid subject to a density-dependent pseudo-potential characterized by a hierarchy of nested attractive and repulsive interactions. It is shown that above a critical threshold of…

Soft Condensed Matter · Physics 2009-11-10 A. Lamura , S. Succi

The motion of ionic solutes and charged particles under the influence of an electric field and the ensuing hydrodynamic flow of the underlying solvent is ubiquitous in aqueous colloidal suspensions. The physics of such systems is described…

We provide a clear evidence that a two species mesoscopic Lattice Boltzmann (LB) model with competing short-range attractive and mid-range repulsive interactions supports emergent Herschel-Bulkley (HB) rheology, i.e. a power-law dependence…

Soft Condensed Matter · Physics 2015-05-18 R. Benzi , M. Bernaschi , M. Sbragaglia , S. Succi

A three-dimensional color-fluid lattice Boltzmann model for immiscible two-phase flows is developed in the framework of a three-dimensional 27-velocity (D3Q27) lattice. The collision operator comprises the D3Q27 versions of three…

Fluid Dynamics · Physics 2017-08-02 Shimpei Saito , Yutaka Abe , Kazuya Koyama

In this paper the normal collision of spherical particles is investigated. The particle interaction is modelled in a macroscopic way using the Hertzian contact force with additional linear damping. The goal of the work is to develop an…

Fluid Dynamics · Physics 2016-03-02 Shouryya Ray , Tobias Kempe , Jochen Fröhlich

A linear Boltzmann equation is derived in the Boltzmann-Grad scaling for the deterministic dynamics of many interacting particles with random initial data. We study a Rayleigh gas where a tagged particle is undergoing hard-sphere collisions…

Analysis of PDEs · Mathematics 2017-11-29 Karsten Matthies , George Stone , Florian Theil

We discuss two topics that we have encountered in our lattice-Boltzmann simulations of complex fluids: the sizes of droplets in particle-stabilised emulsions and deformable particles in fluid flow. The common factor in these seemingly…

Computational Physics · Physics 2015-02-10 Stefan Frijters , Timm Krueger , Jens Harting

Numerous soft materials jam into an amorphous solid at high packing fraction. This non-equilibrium phase transition is best understood in the context of a model system in which particles repel elastically when they overlap. Recently,…

Soft Condensed Matter · Physics 2020-08-26 Dion J. Koeze , Lingtjien Hong , Abhishek Kumar , Brian P. Tighe

Nanostructured materials formed via kinetically controlled self-assembly processes gather more interest nowadays. Bicontinuous emulsion gels stabilized by colloidal particles, called bijels, are attractive materials in soft-matter as they…

We investigate a kinetic model for interacting particles whose masses are integer multiples of an elementary mass. These particles undergo binary collisions which preserve momentum and energy but during which some number of elementary…

Mathematical Physics · Physics 2024-01-10 Pierre Degond , Jian-Guo Liu

We have adapted a set of classification algorithms, also known as Machine Learning, to the identification of fluid and gel domains close to the main transition of dipalmitoyl-phosphatidylcholine (DPPC) bilayers. Using atomistic molecular…

Soft Condensed Matter · Physics 2023-07-19 Viven Walter , Céline Ruscher , Olivier Benzerara , Carlos M. Marques , Fabrice Thalmann

Polyelectrolyte gels are a very attractive class of actuation materials with remarkable electronic and mechanical properties with a great similarity to biological contractile tissues. They consist of a polymer network with ionizable groups…

Materials Science · Physics 2015-09-16 Thomas Wallmersperger , Falk K. Wittel , Michele D'Ottavio , Bernd Kröplin

We present a fully-integrated lattice Boltzmann (LB) method for fluid--structure interaction (FSI) simulations that efficiently models deformable solids in complex suspensions and active systems. Our Eulerian method (LBRMT) couples…

Fluid Dynamics · Physics 2024-02-21 Yue Sun , Chris H. Rycroft

We present a comparative study of two computer simulation methods to obtain static and dynamic properties of dilute polymer solutions. The first approach is a recently established hybrid algorithm based upon dissipative coupling between…

Soft Condensed Matter · Physics 2020-07-03 Tri T. Pham , Ulf D. Schiller , J. Ravi Prakash , Burkhard Duenweg