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A numerical method based upon the immersed boundary technique for the fluid-solid coupling and on a soft-sphere approach for solid-solid contact is used to perform direct numerical simulation of the flow-induced motion of a thick bed of…

Fluid Dynamics · Physics 2014-10-01 Aman G. Kidanemariam , Markus Uhlmann

Fluid interfaces, such as soap films, liquid droplets or lipid membranes, are known to give rise to several special geometries, whose complexity and beauty continue to fascinate us, as observers of the natural world, and challenge us as…

Soft Condensed Matter · Physics 2012-09-26 Luca Giomi

A shape filter is presented to repair segmentation results obtained in calcium imaging of neurons in vivo. This post-segmentation algorithm can automatically smooth the shapes obtained from a preliminary segmentation, while precluding the…

Image and Video Processing · Electrical Eng. & Systems 2018-06-04 Jie Wang , Zhongxiao Fu , Nasrin Sadeghzadehyazdi , Jonathan Kipnis , Scott T. Acton

Viscoelastic liquid transfer from one surface to another is a process that finds applications in many technologies, primarily in printing. Here, cylindrical shaped capillary bridges pinned between two parallel disks are considered.…

Fluid Dynamics · Physics 2025-05-13 Hrishikesh Pingulkar , Jorge Peixinho , Olivier Crumeyrolle

We consider an viscous, incompressible Newtonian fluid flowing through a thin elastic structure. The motion of the structure is described by the equations of a linearised Koiter shell, whose motion is restricted to transverse displacements.…

Analysis of PDEs · Mathematics 2018-07-20 Hannes Eberlein , Michael Ruzicka

We propose a novel approach for deformation-aware neural networks that learn the weighting and synthesis of dense volumetric deformation fields. Our method specifically targets the space-time representation of physical surfaces from liquid…

Graphics · Computer Science 2019-02-21 Lukas Prantl , Boris Bonev , Nils Thuerey

Soft particles such as microgels and core-shell particles can undergo significant and anisotropic deformations when adsorbed to a liquid interface. This, in turn, leads to a complex phase behavior upon compression. Here we develop a…

We developed a computational framework for simulating thin fluid flow in narrow interfaces between contacting solids, which is relevant for a range of engineering, biological and geophysical applications. The treatment of this problem…

Computational Engineering, Finance, and Science · Computer Science 2021-03-23 Andrei G. Shvarts , Julien Vignollet , Vladislav A. Yastrebov

Two nematic shells brought in contact coalesce in order to reduce their interfacial tension. This process proceeds through the creation of a liquid neck-like bridge through which the encapsulated fluid flows. Following this topological…

Soft Condensed Matter · Physics 2015-06-17 Badel L. Mbanga , Kate K. Voorhes , Timothy J. Atherton

In industry, shape optimization problems are of utter importance when designing structures such as aircraft, automobiles and turbines. For many of these applications, the structure changes over time, with a prescribed or non-prescribed…

Optimization and Control · Mathematics 2020-01-29 Jørgen S. Dokken , Sebastian K. Mitusch , Simon W. Funke

We propose a semismooth Newton method for non-Newtonian models of incompressible flow where the constitutive relation between the shear stress and the symmetric velocity gradient is given implicitly; this class of constitutive relations…

Numerical Analysis · Mathematics 2021-10-18 P. A. Gazca-Orozco

In this paper, we propose a reduced-dimensional smoothed particle hydrodynamics (SPH) formulation for quasi-static and dynamic analyses of plate and shell structures undergoing finite deformation and large rotation. By exploiting…

Numerical Analysis · Mathematics 2023-09-07 Dong Wu , Chi Zhang , Xiangyu Hu

A numerical algorithm for mean curvature flow of closed mean convex surfaces with surgery is proposed. The method uses a finite element based mean curvature flow algorithm based on a coupled partial differential equation system which…

Numerical Analysis · Mathematics 2023-09-22 Balázs Kovács

The elastic deformation of a soft solid induced by capillary forces crucially relies on the excess stress inside the solid-liquid interface. While for a liquid-liquid interface this "surface stress" is strictly identical to the "surface…

Soft Condensed Matter · Physics 2015-06-17 Joost H. Weijs , Jacco H. Snoeijer , Bruno Andreotti

We propose a novel optimization framework for computing the medial axis transform that simultaneously preserves the medial structure and ensures high medial mesh quality. The medial structure, consisting of interconnected sheets, seams, and…

Graphics · Computer Science 2025-10-14 Ningna Wang , Rui Xu , Yibo Yin , Zichun Zhong , Taku Komura , Wenping Wang , Xiaohu Guo

In this paper we use stable capillary surfaces (analogous to the $\mu$-bubble construction) to study manifolds with strictly mean convex boundary and nonnegative scalar curvature. We give an obstruction to filling 2-manifolds by such…

Differential Geometry · Mathematics 2024-09-13 Yujie Wu

We present a monolithic finite element formulation for (nonlinear) fluid-structure interaction in Eulerian coordinates. For the discretization we employ an unfitted finite element method based on inf-sup stable finite elements. So-called…

Numerical Analysis · Mathematics 2024-02-02 Stefan Frei , Tobias Knoke , Marc C. Steinbach , Anne-Kathrin Wenske , Thomas Wick

The concept of fission barrier - a parameter which enters in quantitative estimates of various observables related to nuclear fission - is presented from the point of view of theory based on the picture of nuclear deformation and energy…

Nuclear Theory · Physics 2022-04-27 Michał Kowal , Janusz Skalski

We introduce a novel method for the implementation of shape optimziation in fluid dynamics applications, where we propose to use the shape derivative to determine deformation fields with the help of the $p-$ Laplacian for $p > 2$. This…

Optimization and Control · Mathematics 2021-03-30 Peter Marvin Müller , Niklas Kühl , Martin Siebenborn , Klaus Deckelnick , Michael Hinze , Thomas Rung

Hypothesis: Sample-spanning particle networks are used to induce structure and a yield stress, necessary for 3D printing of porous ceramics and paints. In capillary suspensions, a small quantity of immiscible secondary fluid is incorporated…

Soft Condensed Matter · Physics 2024-04-17 Lingyue Liu , Jens Allard , Erin Koos