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Block copolymer are ideal matrices to control the localisation of colloids. Furthermore, anisotropic nanoparticles such as Janus nanoparticles possess an additional orientational degree of freedom that can play a crucial role in the…

Soft Condensed Matter · Physics 2019-08-13 Javier Diaz , Marco Pinna , Andrei Zvelindovsky , Ignacio Pagonabarraga

Accurate mesh-free simulation of fluid flows involving complex boundaries requires that the boundaries be captured accurately in terms of particles. In the context of incompressible/weakly-compressible fluid flow, the SPH method is more…

Computational Physics · Physics 2021-05-06 Pawan Negi , Prabhu Ramachandran

We present an exact solution for the time-dependent Stokes problem of an infinite cylinder of radius r=a in a fluid with harmonic boundary conditions at infinity. This is a 3-dimensional problem but, because of translational invariance…

Mathematical Physics · Physics 2008-04-14 Andreas N. Vollmayr , Jan-Moritz P. Franosch , J. Leo van Hemmen

The conventional no-slip boundary condition leads to a non-integrable stress singularity at a moving contact line. This makes numerical simulations challenging, especially when capillary effects are essential for the dynamics of the flow.…

Fluid Dynamics · Physics 2017-09-18 Hanna Holmgren , Gunilla Kreiss

We perform Brownian Dynamics (BD) simulations to explore the self-assembly of a two-dimensional model system of triblock Janus colloids as an example of "patchy" colloids forming complex structures. Previous experiments and simulation…

Soft Condensed Matter · Physics 2025-04-30 Juri Franz Schubert , Salman Fariz Navas , Sabine H. L. Klapp

Catalytic bimetallic Janus particles swim by a bipolar electrochemical propulsion mechanism that results from electroosmotic fluid slip around the particle surface. The flow is driven by electrical body forces which are generated from a…

Fluid Dynamics · Physics 2015-06-17 Jeffrey L. Moran , Jonathan D. Posner

In this work, we study active particles with prescribed surface velocities in non-Newtonian fluids. We employ the reciprocal theorem to obtain the velocity of an active spherical particle with an arbitrary axisymmetric slip-velocity in an…

Fluid Dynamics · Physics 2017-07-28 Charu Datt , Giovanniantonio Natale , Savvas G. Hatzikiriakos , Gwynn J. Elfring

In this paper we apply the recently developed mimetic discretization method to the mixed formulation of the Stokes problem in terms of vorticity, velocity and pressure. The mimetic discretization presented in this paper and in [50] is a…

Numerical Analysis · Mathematics 2015-06-03 Jasper Kreeft , Marc Gerritsma

Introducing a reduced particle stiffness in discrete element method (DEM) allows for bigger time steps and therefore fewer total iterations in a simulation. Although this approach works well for dry non-adhesive particles, it has been shown…

Soft Condensed Matter · Physics 2018-10-17 Sheng Chen , Wenwei Liu , Shuiqing Li

The Immersed Boundary method has evolved into one of the most useful computational methods in studying fluid structure interaction. On the other hand, the Immersed Boundary method is also known to suffer from a severe timestep stability…

Computational Engineering, Finance, and Science · Computer Science 2009-11-13 Thomas Y. Hou , Zuoqiang Shi

While active systems possess notable potential to form the foundation of new classes of autonomous materials, designing systems that can extract functional work from active surroundings has proven challenging. In this work, we extend these…

Soft Condensed Matter · Physics 2024-04-12 Benjamin Loewe , Tyler N. Shendruk

Consider the elastic scattering of a time-harmonic wave by multiple well separated rigid particles in two dimensions. To avoid using the complex Green's tensor of the elastic wave equation, we utilize the Helmholtz decomposition to convert…

Numerical Analysis · Mathematics 2020-08-17 Jun Lai , Peijun Li

We present a GPU-friendly framework for real-time implicit simulation of elastic material in the presence of frictional contacts. The integration of hyperelasticity, non-interpenetration contact, and friction in real-time simulations…

Graphics · Computer Science 2025-03-20 Ziqiu Zeng , Siyuan Luo , Fan Shi , Zhongkai Zhang

In the following, we discuss nonlinear simulations of nonlinear dynamical systems, which are applied in technical and biological models. We deal with different ideas to overcome the treatment of the nonlinearities and discuss a novel…

Numerical Analysis · Mathematics 2014-12-01 Juergen Geiser , Vahid Yaghoubi

This paper presents a novel particle method to compute strongly coupled incompressible fluid and rigid bodies. The method adopts a velocity-based formulation and utilizes the linear complementarity problem for the incompressibility…

Fluid Dynamics · Physics 2023-03-01 Shugo Miyamoto , Seiichi Koshizuka

In this paper, we consider $N$ identical spherical particles sedimenting in a uniform gravitational field. Particle rotation is included in the model while inertia is neglected. Using the method of reflections, we extend the investigation…

Analysis of PDEs · Mathematics 2020-02-04 Amina Mecherbet

Direct numerical simulation of dense rigid body suspensions poses significant computational challenges. A popular approach to resolve collisions necessitates solving a linear complementary problem (LCP) per time step. Each matrix vector…

Optimization and Control · Mathematics 2026-04-14 Nicholas Rummel , Tyler Jensen , Stephen Becker , Eduardo Corona

We propose a method to parameterize a coarse grained model for the hydrodynamic friction between nearly touching rough spheres in suspension flows. The frictional resistance due to surface roughness primarily alters the sliding and rolling…

Soft Condensed Matter · Physics 2022-03-15 Madhu V. Majji , James W. Swan

Thermally induced particle flow in a charged colloidal suspension is studied in a fluid-mechanical approach. The force density acting on the charged boundary layer is derived in detail. From Stokes' equation with no-slip boundary conditions…

Soft Condensed Matter · Physics 2014-01-31 S. Fayolle , T. Bickel , A. Würger

Even though making artificial micrometric swimmers has been made possible by using various propulsion mechanisms, guiding their motion in the presence of thermal fluctuations still remains a great challenge. Such a task is essential in…

Soft Condensed Matter · Physics 2017-04-26 Tomoyuki Mano , Jean-Baptiste Delfau , Masaki Sano
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