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We propose a robust simulation method for phospholipid membranes. It is based on a mixed three-field formulation that accounts for tangential fluidity (Boussinesq-Scriven law), bending elasticity (Canham-Helfrich model) and inextensibility.…

Numerical Analysis · Mathematics 2018-06-18 Diego S. Rodrigues , Roberto F. Ausas , Fernando Mut , Gustavo C. Buscaglia

The present contribution focuses on the thermodynamically consistent mechanical modeling of the strain-induced crystallization in unfilled polymers. This phenomenon is of particular importance for the mechanical properties of polymers as…

Soft Condensed Matter · Physics 2020-11-11 Serhat Aygün , Sandra Klinge

We present a new method of identifying protostellar disc fragments in a simulation based on density derivatives, and analyse our data using this and the existing CLUMPFIND method, which is based on an ordered search over all particles in…

Earth and Planetary Astrophysics · Physics 2017-07-26 Cassandra Hall , Duncan Forgan , Ken Rice

The dynamics of cellular pattern formation is crucial for understanding embryonic development and tissue morphogenesis. Recent studies have shown that human dermal fibroblasts cultured on liquid crystal elastomers can exhibit an increase in…

Biological Physics · Physics 2023-08-25 Mengyang Gu , Xinyi Fang , Yimin Luo

Dissipative particle dynamics (DPD) is now a well-established method for simulating soft matter systems. However, its applicability was recently questioned because some investigations showed an upper coarse-graining limit that would prevent…

Soft Condensed Matter · Physics 2011-11-09 Rudolf M. Füchslin , Harold Fellermann , Anders Eriksson , Hans-Joachim Ziock

We present the Multilevel Bregman Proximal Gradient Descent (ML BPGD) method, a novel multilevel optimization framework tailored to constrained convex problems with relative Lipschitz smoothness. Our approach extends the classical…

Optimization and Control · Mathematics 2026-05-06 Yara Elshiaty , Stefania Petra

Plastic deformation In crystalline materials is controlled by the motion and interactions of dislocations [AND 17]. Discrete Dislocation Dynamics (DDD) simulations have now existed for about 25 years to investigate plastic flow at the…

Materials Science · Physics 2020-01-07 Sylvain Queyreau

Research on transport, self-assembly and defect dynamics within confined, flowing liquid crystals requires versatile and computationally efficient mesoscopic algorithms to account for fluctuating nematohydrodynamic interactions. We present…

Soft Condensed Matter · Physics 2016-06-22 Tyler N. Shendruk , Julia M. Yeomans

The paper presents an innovative methodology based on the use of a new predictive algorithm created by the researchers capable of obtaining the elastic modulus of a plastic material manufactured with MEX and its mechanical behaviour in the…

Computational Engineering, Finance, and Science · Computer Science 2025-08-20 J. M. Mercado Colmenero , C. Martin Donate

We present a stable mixed isogeometric finite element formulation for geometrically and materially nonlinear beams in transient elastodynamics, where a Cosserat beam formulation with extensible directors is used. The extensible directors…

Numerical Analysis · Mathematics 2024-11-21 Myung-Jin Choi , Sven Klinkel , Simon Klarmann , Roger A. Sauer

This work presents an intermediate resolution model of the hydrodynamics of colloidal particles based on a mixed Eulerian-Lagrangian formulation. The particle is constructed with a small set of overlapping Peskin's Immersed Boundary kernels…

Soft Condensed Matter · Physics 2015-06-22 Adolfo Vázquez-Quesada , Florencio Balboa Usabiaga , Rafael Delgado-Buscalioni

This paper proposes a novel way to solve transient linear, and non-linear solid dynamics for compressible, nearly incompressible, and incompressible material in the updated Lagrangian framework for tetrahedral unstructured finite elements.…

Numerical Analysis · Mathematics 2021-07-07 R. Nemer , A. Larcher , T. Coupez , E. Hachem

Although the influence of magnetic fields is regarded as vital in the star formation process, only a few magnetohydrodynamics (MHD) simulations have been performed on this subject within the smoothed particle hydrodynamics (SPH) method.…

Solar and Stellar Astrophysics · Physics 2015-05-19 Florian Bürzle , Paul C. Clark , Federico Stasyszyn , Thomas Greif , Klaus Dolag , Ralf S. Klessen , Peter Nielaba

We propose to measure nonadiabaticity of molecular quantum dynamics rigorously with the quantum fidelity between the Born-Oppenheimer and fully nonadiabatic dynamics. It is shown that this measure of nonadiabaticity applies in situations…

Chemical Physics · Physics 2012-06-28 Tomas Zimmermann , Jiri Vanicek

We introduce a general and fast convolution-based method (FCBM) for peridynamics (PD). Expressing the PD integrals in terms of convolutions and computing them by fast Fourier transform (FFT), we reduce the computational complexity of PD…

Numerical Analysis · Mathematics 2022-03-02 Siavash Jafarzadeh , Farzaneh Mousavi , Adam Larios , Florin Bobaru

This study focuses on solving the numerical challenges of imposing absorbing boundary conditions for dynamic simulations in the material point method (MPM). To attenuate elastic waves leaving the computational domain, the current work…

Geophysics · Physics 2025-01-24 Jun Kurima , Bodhinanda Chandra , Kenichi Soga

Liquid crystal elastomers are special cross-linked polymer materials combining the large elastic deformability of elastomers with the orientational orders of liquid crystals. This model exhibits markedly different phenomena than the liquid…

Analysis of PDEs · Mathematics 2023-07-18 Xiaonan Hao , Jiaxi Huang , Ning Jiang

We propose a simulation method for Brownian dynamics of hard rods in one dimension for arbitrary continuous external force fields. It is an event-driven procedure based on the fragmentation and mergers of clusters formed by particles in…

Statistical Mechanics · Physics 2022-11-16 Alexander P. Antonov , Sören Schweers , Artem Ryabov , Philipp Maass

Numerical methods to improve the treatment of magnetic fields in smoothed field magnetohydrodynamics (SPMHD) are developed and tested. Chapter 2 is a review of SPMHD. In Chapter 3, a mixed hyperbolic/parabolic scheme is developed which…

Instrumentation and Methods for Astrophysics · Physics 2015-05-19 Terrence S. Tricco

The Immersed Boundary (IB) method is a mathematical framework for constructing robust numerical methods to study fluid-structure interaction in problems involving an elastic structure immersed in a viscous fluid. The IB formulation uses an…

Numerical Analysis · Mathematics 2017-08-23 Yuanxun Bao , Aleksandar Donev , Boyce E. Griffith , David M. McQueen , Charles S. Peskin
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