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In this paper we propose a novel and general approach to design semi-implicit methods for the simulation of fluid-structure interaction problems in a fully Eulerian framework. In order to properly present the new method, we focus on the…

Numerical Analysis · Mathematics 2023-10-31 Mirco Ciallella , Thomas Milcent

Biological cells utilize membranes and liquid-like droplets, known as biomolecular condensates, to structure their interior. The interaction of droplets and membranes, despite being involved in several key biological processes, is so far…

Soft Condensed Matter · Physics 2024-02-21 Marcel Mokbel , Dominic Mokbel , Susanne Liese , Christoph A. Weber , Sebastian Aland

Background and Objectives: The mechanics of the nucleus depends on cellular structures and architecture, and impact a number of diseases. Nuclear mechanics is yet rather complex due to heterogeneous distribution of dense heterochromatin and…

Medical Physics · Physics 2023-09-29 Yue Mei , Xuan Feng , Yun Jin , Rongyao Kang , Xinyu Wang , Dongmei Zhao , Soham Ghosh , Corey P Neu , Stephane Avril

Simple homogeneous shear flows of frictionless, deformable particles are studied by particle simulations at large shear rates and for differently soft, deformable particles. The particle stiffness sets a time-scale that can be used to scale…

Soft Condensed Matter · Physics 2024-07-25 Dalila Vescovi , Stefan Luding

In this study, we implement the deviatoric curvature model to examine dynamically triangulated surfaces with anisotropic membrane inclusions. The Monte-Carlo numerical scheme is devised to not only minimize the total bending energy of the…

Soft Condensed Matter · Physics 2024-03-06 Yoav Ravid , Samo Penič , Nir Gov , Veronika Kralj-Iglič , Aleš Iglič , Mitja Drab

We present a loosely coupled approach for the solution of fluid-structure interaction problems between a compressible flow and a deformable structure. The method is based on staggered Dirichlet-Neumann partitioning. The interface motion in…

An important class of fluid-structure problems involve the dynamics of ordered arrays of immersed, flexible fibers. While specialized numerical methods have been developed to study fluid-fiber systems, they become infeasible when there are…

Fluid Dynamics · Physics 2019-07-17 David B. Stein , Michael J. Shelley

We study the kinematics and dynamics of a highly compliant membrane disk placed head-on in a uniform flow. With increasing flow velocity, the membrane deforms nonlinearly into increasingly parachute-like shapes. These aerodynamically…

Fluid Dynamics · Physics 2023-09-11 Varghese Mathai , Asimanshu Das , Dante L. Naylor , Kenneth S. Breuer

Recent developments in lipid membrane models for simulations are reviewed. To reduce computational costs, various coarse-grained molecular models have been proposed. Among them, implicit solvent (solvent-free) molecular models are…

Soft Condensed Matter · Physics 2015-05-13 Hiroshi Noguchi

The axisymmetric electrohydrodynamic deformation of an elastic capsule with capacitive membrane obeying Skalak law under uniform AC electric field is investigated using analytical and boundary integral theory. The low capillary number (the…

Soft Condensed Matter · Physics 2018-06-06 Sudip Das , Rochish M. Thaokar

Existing hemolysis algorithms are often constructed for laminar flows that expose red blood cells to a constant rate of shear. It remains an open question whether such models are applicable to turbulent flows, where there is a significant…

Fluid Dynamics · Physics 2023-12-18 Grant Rydquist , Mahdi Esmaily

Building on the striking similarity between the structure of the spindle during mitosis in living cells and nematic textures in confined liquid crystals, we use a continuum model of two-dimensional nematic liquid crystal droplets, to…

Soft Condensed Matter · Physics 2017-02-24 Marco Leoni , Oksana V. Manyuhina , Mark J. Bowick , M. Cristina Marchetti

first-principles numerical simulation model for crumpling of a stiff tethered membrane is introduced. In our model membranes, wrinkles, ridge formation, ridge collapse, as well as the initiation of stiffness divergence, are observed. The…

Soft Condensed Matter · Physics 2015-06-24 J. A. Astrom , J. Timonen , Mikko Karttunen

This work presents a novel numerical investigation of the dynamics of free-boundary flows of viscoelastic liquid membranes. The governing equation describes the balance of linear momentum, in which the stresses include the viscoelastic…

Fluid Dynamics · Physics 2022-04-12 Valeria Barra , Shawn A. Chester , Shahriar Afkhami

Lipid membranes are abundant in living organisms, where they constitute a surrounding shell for cells and their organelles. There are many circumstances in which the deformations of lipid membranes are involved in living cells: fusion and…

Soft Condensed Matter · Physics 2022-11-17 Konstantin V. Pinigin

We present a simple and computationally efficient coarse-grained and solvent-free model for simulating lipid bilayer membranes. In order to be used in concert with particle-based reaction-diffusion simulations, the model is purely based on…

Biological Physics · Physics 2018-01-31 Mohsen Sadeghi , Thomas R. Weikl , Frank Noé

This work investigates the orbital dynamics of a fluid-filled deformable prolate capsule in unbounded shear flow. The motion of the capsule is simulated using a model that incorporates shear elasticity, area dilatation, and bending…

Fluid Dynamics · Physics 2019-11-18 Xiao Zhang , Michael D. Graham

We present a modification of a recently developed volume of fluid method for multiphase problems, so that it can be used in conjunction with a fractional step-method and fast Poisson solver, and validate it with standard benchmark problems.…

Fluid Dynamics · Physics 2018-07-06 Marco Edoardo Rosti , Francesco De Vita , Luca Brandt

The cell nucleus is enveloped by a complex membrane, whose wrinkling has been implicated in disease and cellular aging. The biophysical dynamics and spectral evolution of nuclear wrinkling during multicellular development remain poorly…

The capillary forces exerted by liquid drops and bubbles on a soft solid are directly measured using molecular dynamics simulations. The force on the solid by the liquid near the contact line is not oriented along the liquid vapor interface…

Soft Condensed Matter · Physics 2013-05-31 Joost H. Weijs , Bruno Andreotti , Jacco H. Snoeijer