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Motions of fluctuating Brownian particles in an incompressible viscous fluid have been studied by coupled simulations of Brownian particles and host fluid. We calculated the velocity autocorrelation functions of Brownian particles and…

Soft Condensed Matter · Physics 2012-11-22 Takuya Iwashita , Yasuya Nakayama , Ryoichi Yamamoto

We develop a computational method for modeling electrostatic interactions of arbitrarily-shaped, polarizable objects on colloidal length scales, including colloids/nanoparticles, polymers, and surfactants, dispersed in explicit ion…

Soft Condensed Matter · Physics 2024-06-18 Emily Krucker-Velasquez , James W. Swan , Zachary Sherman

We introduce numerical methods for simulating the diffusive motion of rigid bodies of arbitrary shape immersed in a viscous fluid. We parameterize the orientation of the bodies using normalized quaternions, which are numerically robust,…

Soft Condensed Matter · Physics 2015-10-28 Steven Delong , Florencio Balboa Usabiaga , Aleksandar Donev

We study the motion of a solid particle immersed in a Newtonian fluid and confined between two parallel elastic membranes possessing shear and bending rigidity. The hydrodynamic mobility depends on the frequency of the particle motion due…

Fluid Dynamics · Physics 2016-08-03 Abdallah Daddi-Moussa-Ider , Achim Guckenberger , Stephan Gekle

Flutter stability is a dominant design constraint of modern gas and steam turbines. To further increase the feasible design space, flutter-tolerant designs are currently explored, which may undergo Limit Cycle Oscillations (LCOs) of…

Computational Engineering, Finance, and Science · Computer Science 2021-02-12 Christian Berthold , Johann Gross , Christian Frey , Malte Krack

We discuss the structure and asymptotic long-time properties of coupled equations for the moments of a Brownian particle's momentum derived microscopically beyond the lowest approximation in the weak coupling parameter. Generalized…

Statistical Mechanics · Physics 2015-05-30 A. V. Plyukhin

We devise an iterative scheme for numerically calculating dynamical two-point correlation functions in integrable many-body systems, in the Eulerian scaling limit. Expressions for these were originally derived in Ref. [1] by combining the…

Statistical Mechanics · Physics 2021-01-01 Frederik S. Møller , Gabriele Perfetto , Benjamin Doyon , Jörg Schmiedmayer

This paper is concerned with a space-time adaptive numerical method for instationary porous media flows with nonlinear interaction between porosity and pressure, with focus on problems with discontinuous initial porosities. A convergent…

Numerical Analysis · Mathematics 2025-08-27 Markus Bachmayr , Simon Boisserée

Hierarchical code coupling strategies make it possible to combine the results of individual numerical solvers into a self-consistent symplectic solution. We explore the possibility of allowing such a coupling strategy to be non-intrusive.…

Instrumentation and Methods for Astrophysics · Physics 2020-04-22 Simon Portegies Zwart , Inti Pelupessy , Carmen Martinez-Barbosa , Arjen van Elteren , Steve McMillan

One of the most noticeable collective motion of non-cohesive granular matter is clustering under certain conditions. In particular, when a quasi-two-dimensional monolayer of mono-disperse non-cohesive particles is vertically vibrated, a…

Soft Condensed Matter · Physics 2015-06-11 Li-Hua Luu , Gustavo Castillo , Nicolás Mujica , Rodrigo Soto

We develop a field-theoretic perturbation method preserving the fluctuation-dissipation relation (FDR) for the dynamics of the density fluctuations of a noninteracting colloidal gas plunged in a quenched Gaussian random field. It is based…

Disordered Systems and Neural Networks · Physics 2020-02-14 Bongsoo Kim , Matthias Fuchs , Vincent Krakoviack

This study proposes a novel spatial discretization procedure for the compressible Euler equations which guarantees entropy conservation at a discrete level when an arbitrary equation of state is assumed. The proposed method, based on a…

Fluid Dynamics · Physics 2025-09-24 Alessandro Aiello , Carlo De Michele , Gennaro Coppola

Small heavy particles cannot get attracted into a region of closed streamlines in a non-accelerating frame (Sapsis & Haller 2010). In a rotating system, however, particles can get trapped (Angilella 2010) near vortices. We perform numerical…

Fluid Dynamics · Physics 2025-02-12 Saumav Kapoor , Divya Jaganathan , Rama Govindarajan

The recent evolution of software and hardware technologies is leading to a renewed computational interest in Particle-In-Cell (PIC) methods such as the Material Point Method (MPM). Indeed, provided some critical aspects are properly…

Computational Physics · Physics 2024-12-11 Paolo Joseph Baioni , Tommaso Benacchio , Luigi Capone , Carlo de Falco

We present a numerical study of noncolloidal spherical and rigid particles suspended in Newtonian, shear thinning and shear thickening fluids employing an Immersed Boundary Method. We consider a linear Couette configuration to explore a…

Fluid Dynamics · Physics 2018-08-29 Dhiya Alghalibi , Iman Lashgari , Luca Brandt , Sarah Hormozi

We develop and present a unified multi-scale model (involving three scales of spatial organisation) to study the dynamics of rigid aggregating particles suspended in a viscous fluid medium and subject to a steady poiseuille flow. At…

Soft Condensed Matter · Physics 2016-10-10 Sarthok Sircar , Anthony J. Roberts

We present a continuum level analytical model of a droplet of active contractile fluid consisting of filaments and motors. We calculate the steady state flows that result from a splayed polarisation of the filaments. We account for the…

Cell Behavior · Quantitative Biology 2014-02-20 Carl A. Whitfield , Davide Marenduzzo , Raphaël Voituriez , Rhoda J. Hawkins

We consider advection of small inertial particles by a random fluid flow with a strong steady shear component. It is known that inertial particles suspended in a random flow can exhibit clusterization even if the flow is incompressible. We…

Chaotic Dynamics · Physics 2013-05-30 Grigory A. Sizov

Using a powerful combination of projection-operator method and path-space response theory, we derive the fluctuation dynamics of a slow inertial probe coupled to a steady nonequilibrium medium under the assumption of time-scale separation.…

Statistical Mechanics · Physics 2025-04-24 Ji-Hui Pei , Christian Maes

In this paper, we consider the flow of an incompressible fluid in a deformable porous solid. We present a mathematical model using the framework offered by the theory of interacting continua. In its most general form, this framework…

Numerical Analysis · Computer Science 2013-02-27 D. Z. Turner , K. B. Nakshatrala , M. J. Martinez