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In this paper, we study, from both variational and numerical points of view, a dynamic contact problem between a viscoelastic-viscoplastic piezoelectric body and a deformable obstacle. The contact is modelled using the classical normal…

Analysis of PDEs · Mathematics 2017-03-14 M. Campo , J. R. Fernández , Á. Rodríguez-Arós , J. M. Rodríguez

The problem of collisions in a plasma is a wide subject with a huge historical literature. In fact, the description of realistic plasmas is a tough problem to attach, both from the theoretical and the numerical point of view, and which…

Plasma Physics · Physics 2021-05-27 Oreste Pezzi , Francesco Valentini , Denise Perrone , Pierluigi Veltri

We present a simple numerical method to simulate the interaction of two non-miscible compressible materials separated by an interface. The media considered may have significantly different physical properties and constitutive laws,…

Numerical Analysis · Mathematics 2014-12-04 Yannick Gorsse , Angelo Iollo , Thomas Milcent , Haysam TELIB

Body-fitted arbitrary Lagrangian-Eulerian (ALE) methods provide a sharp representation of the fluid-structure interface but rely on mesh-update strategies that incrementally deform a reference configuration. To address this issue, we…

Numerical Analysis · Mathematics 2026-05-01 Jingya Li , Ye Ji , Hugo Verhelst , Henk den Besten , Matthias Möller

Soft solids in fluids find wide range of applications in science and engineering, especially in the study of biological tissues and membranes. In this study, an Eulerian finite volume approach has been developed to simulate fully resolved…

Computational Physics · Physics 2019-09-17 Suhas S. Jain , Ken Kamrin , Ali Mani

We propose a new class of phase field models coupled to viscoelasticity with large deformations, obtained from a diffuse interface mixture model composed by a phase with elastic properties and a liquid phase. The model is formulated in the…

Analysis of PDEs · Mathematics 2022-04-12 Abramo Agosti , Pierluigi Colli , Harald Garcke , Elisabetta Rocca

Advanced phase-field techniques have been applied to address various aspects of polycrystalline solidification including different modes of crystal nucleation. The height of the nucleation barrier has been determined by solving the…

Dexterous manipulation requires careful reasoning over extrinsic contacts. The prevalence of deforming tools in human environments, the use of deformable sensors, and the increasing number of soft robots yields a need for approaches that…

Robotics · Computer Science 2025-05-19 Mark Van der Merwe , Miquel Oller , Dmitry Berenson , Nima Fazeli

We introduce two improvements in the numerical scheme to simulate collision and slow shearing of irregular particles. First, we propose an alternative approach based on simple relations to compute the frictional contact forces. The approach…

Materials Science · Physics 2011-03-15 Andres A. Pena , Pedro G. Lind , Hans J. Herrmann

A three-phase contact line in a three-phase fluid system is modeled by a mean-field density functional theory. We use a variational approach to find the Euler-Lagrange equations. Analytic solutions are obtained in the two-phase regions at…

Other Condensed Matter · Physics 2015-06-03 Chang-You Lin , Michael Widom , Robert F. Sekerka

The simulation of high-rate deformation and failure of metals is has traditionally been performed using Lagrangian finite element methods or Eulerian hydrocodes. Lagrangian mesh-based methods are limited by issues involving mesh…

Computational Physics · Physics 2012-01-13 Biswajit Banerjee , James E. Guilkey , Todd B. Harman , John A. Schmidt , Patrick A. McMurtry

Particle-laden effects in high-speed flows require a coupled Euler and Lagrangian prediction technique with varying fidelity of thermochemical models, depending on the simulation conditions of interest. This requirement makes the…

Fluid Dynamics · Physics 2025-12-23 Hyeon Woo Nam , Tae Woong Jeong , Sung Min Jo

Numerical simulation of numerous mm/cm-sized particles embedded in a gaseous disk has become an important tool in the study of planet formation and in understanding the dust distribution in observed protoplanetary disks. However, the mutual…

Instrumentation and Methods for Astrophysics · Physics 2016-06-22 Chao-Chin Yang , Anders Johansen

In this paper, we introduce a novel convex formulation that seamlessly integrates the Material Point Method (MPM) with articulated rigid body dynamics in frictional contact scenarios. We extend the linear corotational hyperelastic model…

Robotics · Computer Science 2024-10-21 Zeshun Zong , Chenfanfu Jiang , Xuchen Han

We introduce a new phase-field model which allows for simulation of incoherent solid/solid transformations. Contrary to previous models which impose coherency at the interface, the zero shear-stress condition characteristic of incoherent…

Materials Science · Physics 2007-05-23 Jerome Paret

In this paper, we propose a linear and monolithic finite element method for the approximation of an incompressible viscous fluid interacting with an elastic and deforming plate. We use the arbitrary Lagrangian-Eulerian (ALE) approach that…

Numerical Analysis · Mathematics 2023-01-13 Sebastian Schwarzacher , Bangwei She , Karel Tuma

Dynamics simulation with frictional contacts is important for a wide range of applications, from cloth simulation to object manipulation. Recent methods using smoothed lagged friction forces have enabled robust and differentiable simulation…

Graphics · Computer Science 2024-08-01 Egor Larionov , Andreas Longva , Uri M. Ascher , Jan Bender , Dinesh K. Pai

This work develops and analyzes a variational-monolithic unfitted finite element formulation of a linear fluid-structure interaction problem in Eulerian coordinates with a fixed interface. The overall discretization is based on a backward…

Numerical Analysis · Mathematics 2026-03-27 Stefan Frei , Tobias Knoke , Marc C. Steinbach , Anne-Kathrin Wenske , Thomas Wick

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

We discuss an effective field theory (EFT) approach to the computation of fluctuation-induced interactions between particles bound to a thermally fluctuating fluid surface controlled by surface tension. By describing particles as points,…

Soft Condensed Matter · Physics 2015-06-12 Cem Yolcu , Ira Z. Rothstein , Markus Deserno