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Deformable elastic bodies in viscous and viscoelastic media constitute a large portion of synthetic and biological complex fluids. We present a parallelized 3D-simulation methodology which fully resolves the momentum balance in the solid…

Computational Physics · Physics 2019-03-11 Amir Saadat , Chris J. Guido , Gianluca Iaccarino , Eric S. G. Shaqfeh

We present a new theoretical and computational framework for modelling electro-chemo-mechanical fracture. The model combines a phase field description of fracture with a fully coupled characterisation of electrolyte behaviour, surface…

Computational Engineering, Finance, and Science · Computer Science 2023-08-02 T. Hageman , E. Martínez-Pañeda

In this paper we consider a class of unfitted finite element methods for discretization of partial differential equations on surfaces. In this class of methods known as the Trace Finite Element Method (TraceFEM), restrictions or traces of…

Numerical Analysis · Mathematics 2017-07-06 Maxim A. Olshanskii , Arnold Reusken

We proposed a structure-preserving stabilized parametric finite element method (SPFEM) for the evolution of closed curves under anisotropic surface diffusion with an arbitrary surface energy $\hat{\gamma}(\theta)$. By introducing a…

Numerical Analysis · Mathematics 2024-04-03 Yulin Zhang , Yifei Li , Wenjun Ying

In this paper, we focus on modeling and simulation of two-phase flow with moving contact lines and variable density. A thermodynamically consistent phase-field model with General Navier Boundary Condition is developed based on the concept…

Numerical Analysis · Mathematics 2020-01-29 Lingyue Shen , Huaxiong Huang , Ping Lin , Zilong Song , Shixin Xu

We present a novel computational method for direct measurement of yield stress of discrete materials. The method is well-suited for the measurement of jamming phase diagram of a wide range of discrete particle systems such as granular…

Soft Condensed Matter · Physics 2012-06-12 S. H. Ebrahimnazhad Rahbari , J. Vollmer , S. Herminghaus , M. Brinkmann

Sand production is an important issue for many hydrocarbon recovery applications in unconsolidated reservoirs. The model using the Computational Fluid Dynamics coupled with Discrete Element Method (CFD-DEM) can capture micro-scale features…

Computational Engineering, Finance, and Science · Computer Science 2022-11-14 Daniyar Kazidenov , Furkhat Khamitov , Yerlan Amanbek

Plate motion near the fault gouge layer, and the elastic interplay between the gouge layer and the plate under stick-slip conditions, is key to understanding the dynamics of sheared granular fault systems. Here, a two-dimensional…

Geophysics · Physics 2020-08-12 Ke Gao , Robert A. Guyer , Esteban Rougier , Paul A. Johnson

This work develops novel energy-stable parametric finite element methods (ES-PFEM) for the Willmore flow and curvature-dependent geometric gradient flows of surfaces in three dimensions. The key to achieving the energy stability lies in the…

Numerical Analysis · Mathematics 2025-10-06 Weizhu Bao , Yifei Li , Dongmin Wang

A novel phase field material point method is introduced for robust simulation of dynamic fracture in elastic media considering the most general case of anisotropic surface energy. Anisotropy is explicitly introduced through a properly…

Numerical Analysis · Mathematics 2019-09-04 Emmanouil Kakouris , Savvas P. Triantafyllou

This article explores the hysteretic behavior and the damping features of sheared granular media using discrete element method (DEM) simulations. We consider polydisperse non-cohesive frictional spherical particles, enclosed in a container…

Soft Condensed Matter · Physics 2025-10-07 A. Faulconnier , S. Job , J. Brocail , N. Peyret , J. -L. Dion

Periodic micromagnetic finite element method (PM-FEM) is introduced to solve periodic unit cell problems using the Landau-Lifshitz-Gilbert equation. PM-FEM is applicable to general problems with 1D, 2D, and 3D periodicities. PM-FEM is based…

Numerical Analysis · Mathematics 2024-09-24 Fangzhou Ai , Jiawei Duan , Vitaliy Lomakin

We present a Discrete Element Method algorithm for the simulation of elastic fibers in frictional contacts. The fibers are modeled as chains of cylindrical segments connected to each other by springs taking into account elongation, bending…

Soft Condensed Matter · Physics 2023-03-08 Jérôme Crassous

During phase transitions certain properties of a material change, such as composition field and lattice-symmetry distortions. These changes are typically coupled, and affect the microstructures that form in materials. Here, we propose a 2D…

Materials Science · Physics 2018-04-25 Ananya Renuka Balakrishna , W. Craig Carter

We present a high-fidelity three dimensional computational framework for simulating the bulk mechanical behavior of granular aggregates composed of deformable brittle grains. Departing from classical discrete element methods (DEM), our…

Soft Condensed Matter · Physics 2025-07-16 Debdeep Bhattacharya , Davood Damircheli , Robert P. Lipton

In this work we propose an efficient and accurate multi-scale optical simulation algorithm by applying a numerical version of slowly varying envelope approximation in FEM. Specifically, we employ the fast iterative method to quickly compute…

Optics · Physics 2024-12-03 Fan Xiao , Jingwei Wang , Zhongfei Xiong , Yuntian Chen

This work presents a finite element method for simulating dynamic processes that involve the coupled evolution of dislocation motion and crack propagation. The method numerically solves the Concurrent Atomistic-Continuum (CAC) formulation…

Materials Science · Physics 2025-12-01 Boyang Gu , Adrian Diaz , Yang Li , Youping Chen

Self-consistent field theory (SCFT) has proven to be a powerful tool for modeling equilibrium microstructures of soft materials, particularly for multiblock polymers. A very successful approach to numerically solving the SCFT set of…

Soft Condensed Matter · Physics 2017-01-04 David M. Ackerman , Kris Delaney , Glenn H. Fredrickson , Baskar Ganapathysubramanian

We present a novel phase-field model development capability in the open source MOOSE finite element framework. This facility is based on the 'modular free energy' approach in which the phase-field equations are implemented in a general form…

Materials Science · Physics 2017-02-28 Daniel Schwen , Larry K. Aagesen , John W. Peterson , Michael R. Tonks

A thermodynamically consistent phase-field model is introduced for simulating motion and shape transformation of vesicles under flow conditions. In particular, a general slip boundary condition is used to describe the interaction between…

Numerical Analysis · Mathematics 2020-12-11 Lingyue Shen , Zhiliang Xu , Ping Lin , Huaxiong Huang , Shixin Xu