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Here we present first results simulating plasma filaments in non-axisymmetric geometries, using a fluid turbulence extension of the \boutxx~framework. This is made possible by the implementation of the Flux Coordinate Independent scheme for…

Plasma Physics · Physics 2018-12-26 B Shanahan , B Dudson , P Hill

We present a variation of the method of regularized Stokeslet (MRS) specialized for the case of forces and torques distributed over filaments in three dimensions. The new formulation is based on the exact solution of Stokes equation…

Numerical Analysis · Mathematics 2018-10-17 Ricardo Cortez

The Green's function of the incompressible Stokes equations, the stokeslet, represents the singular flow due to a point force. Its classical value in an unbounded fluid has been extended near surfaces of various shapes, including flat walls…

Fluid Dynamics · Physics 2021-11-15 Ivan Tanasijević , Eric Lauga

The conformations and dynamics of semiflexible filaments subject to a homogeneous external (gravitational) field, e.g., in a centrifuge, are studied numerically and analytically. The competition between hydrodynamic drag and bending…

Biological Physics · Physics 2016-08-23 G. Saggiorato , J. Elgeti , R. G. Winkler , G. Gompper

We describe the large-scale collective behavior of solutions of polar biofilaments and both stationary and mobile crosslinkers. Both mobile and stationary crosslinkers induce filament alignment promoting either polar or nematic order. In…

Soft Condensed Matter · Physics 2009-11-11 Aphrodite Ahmadi , M. Cristina Marchetti , T. B. Liverpool

Initially straight slender elastic rods with geometrically constrained ends buckle and form stable two-dimensional shapes when compressed by bringing the ends together. It is also known that beyond a critical value of the pre-stress,…

Pattern Formation and Solitons · Physics 2021-02-03 Soheil Fatehiboroujeni , Arvind Gopinath , Sachin Goyal

Numerical study of the hydrodynamics of thin sheets and ribbons presents difficulties associated with resolving multiple length scales. To circumvent these difficulties, asymptotic methods have been developed to describe the dynamics of…

Fluid Dynamics · Physics 2016-11-22 Thomas D. Montenegro-Johnson , Lyndon Koens , Eric Lauga

The formation and destabilisation of viscoelastic filaments are of importance in many industrial and biological processes. Filament instabilities have been observed for viscoelastic fluids but recently also for soft elastic solids. In this…

Soft Condensed Matter · Physics 2021-06-17 H. V. M. Kibbelaar , A. Deblais , F. Burla , G. H. Koenderink , K. P. Velikov , D. Bonn

Exploiting the "natural" frame of space curves, we formulate an intrinsic dynamics of twisted elastic filaments in viscous fluids. A pair of coupled nonlinear equations describing the temporal evolution of the filament's complex curvature…

Soft Condensed Matter · Physics 2009-10-31 Raymond E. Goldstein , Thomas R. Powers , Chris H. Wiggins

We demonstrate that internal pivot-like defects, arising from rigor mutant motor proteins that bind without stepping, fundamentally reshape the dynamics of semiflexible filaments in two-dimensional motility assays. Using large-scale…

Biological Physics · Physics 2025-09-29 Sandip Roy , Debasish Chaudhuri , Abhishek Chaudhuri

We carry out a numerical study on the dynamics of a single non-Brownian flexible fiber in two-dimensional Couette flows at finite Reynolds numbers. We employ the bead-spring model of flexible fibers to extend the fluid particle dynamics…

Soft Condensed Matter · Physics 2023-04-05 Jian Su , Kun Ma , Zhongyu Yan , Qiaolin He , Xinpeng Xu

We investigate the motion of active semiflexible filament with shape kinematics and hydrodynamic interaction including. Three types of filament motion are found: Translation, snaking and rotation. Change of flexibility will induce…

Soft Condensed Matter · Physics 2012-10-24 Huijun Jiang , Zhonghuai Hou

The interaction of fibers in a viscous (Stokes) fluid plays a crucial role in industrial and biological processes, such as sedimentation, rheology, transport, cell division, and locomotion. Numerical simulations generally rely on slender…

Numerical Analysis · Mathematics 2024-03-12 Dhairya Malhotra , Alex Barnett

The conformational and dynamical properties of active self-propelled filaments/polymers are investigated in the presence of hydrodynamic interactions by both, Brownian dynamics simulations and analytical theory. Numerically, a discrete…

Soft Condensed Matter · Physics 2020-08-04 Aitor Martin-Gomez , Thomas Eisenstecken , Gerhard Gompper , Roland G. Winkler

The Immersed Boundary Method has long served as a robust computational framework for fluid-structure interactions, yet the rigorous analysis of 1D Peskin filaments anchored to rigid boundaries remains sparse. In this paper, we generalize…

Analysis of PDEs · Mathematics 2026-05-01 Achyuta Telekicherla Kandalam , Daniel Spirn

Many biological fluids are composed of suspended polymers immersed in a viscous fluid. A prime example is mucus, where the polymers are also known to form a network. While the presence of this microstructure is linked with an overall…

Fluid Dynamics · Physics 2024-10-10 Adam K. Townsend , Eric E. Keaveny

In cells, cytoskeletal filament networks are responsible for cell movement, growth, and division. Filaments in the cytoskeleton are driven and organized by crosslinking molecular motors. In reconstituted cytoskeletal systems, motor activity…

We find a statistical mechanism that can adjust orientations of intracellular filaments to cell geometry in absence of organizing centers. The effect is based on random and isotropic filament (de-)polymerization dynamics and is independent…

Biological Physics · Physics 2015-05-28 Philip Greulich , Ludger Santen

Peritrichous bacteria such as Escherichia coli swim in viscous fluids by forming a helical bundle of flagellar filaments. The filaments are spatially distributed around the cell body to which they are connected via a flexible hook. To…

Biological Physics · Physics 2019-06-19 Kenta Ishimoto , Eric Lauga

Elastic confinements play an important role in many soft matter systems and affect the transport properties of suspended particles in viscous flow. On the basis of low-Reynolds-number hydrodynamics, we present an analytical theory of the…

Fluid Dynamics · Physics 2019-04-12 Abdallah Daddi-Moussa-Ider , Badr Kaoui , Hartmut Löwen
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