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We develop a mesoscale computational model to describe the interaction of a droplet with a solid. The model is based on the hybrid combination of the immersed boundary and the lattice Boltzmann computational schemes: the former is used to…

A combination of reaction-diffusion models with moving-boundary problems yields a system in which the diffusion (spreading and penetration) and reaction (transformation) evolve the system's state and geometry over time. These systems can be…

计算工程、金融与科学 · 计算机科学 2020-08-26 Mojtaba Barzegari , Liesbet Geris

This paper presents a general and robust method for the fluid-structure interaction of membranes and shells undergoing large displacement and large added-mass effects by coupling an immersed-boundary method with a shell finite-element…

流体动力学 · 物理学 2023-08-15 Marin Lauber , Gabriel D. Weymouth , Georges Limbert

The recent evolution of software and hardware technologies is leading to a renewed computational interest in Particle-In-Cell (PIC) methods such as the Material Point Method (MPM). Indeed, provided some critical aspects are properly…

计算物理 · 物理学 2024-12-11 Paolo Joseph Baioni , Tommaso Benacchio , Luigi Capone , Carlo de Falco

This paper presents an improved immersed moving boundary model (IBM) for solving complex fluid-particle interactions in a coupled lattice Boltzmann method (LBM) and an adhesive discrete element method (DEM), using the "partially saturated…

软凝聚态物质 · 物理学 2020-10-21 Wenwei Liu , Chuan-Yu Wu

The paper develops a hybrid method for solving a system of advection--diffusion equations in a bulk domain coupled to advection--diffusion equations on an embedded surface. A monotone nonlinear finite volume method for equations posed in…

计算物理 · 物理学 2018-06-05 Alexey Y. Chernyshenko , Maxim A. Olshanskii , Yuri V. Vassilevski

The pseudopotential model within the Lattice Boltzmann Method (LBM) framework has emerged as a prominent approach in computational fluid dynamics due to its dual strengths in physical intuitiveness and computational tractability. However,…

流体动力学 · 物理学 2025-09-03 Yizhong Chen , Zhibin Wang

The present work proposes an approach for fluid-solid and contact interaction problems including thermo-mechanical coupling and reversible phase transitions. The solid field is assumed to consist of several arbitrarily-shaped, undeformable…

计算工程、金融与科学 · 计算机科学 2021-09-14 Sebastian L. Fuchs , Christoph Meier , Wolfgang A. Wall , Christian J. Cyron

High-accuracy, high-efficiency physics-based fluid-solid interaction is essential for reality modeling and computer animation in online games or real-time Virtual Reality (VR) systems. However, the large-scale simulation of incompressible…

图形学 · 计算机科学 2023-05-08 Jin Li , Yang Gao , Ju Dai , Shuai Li , Aimin Hao , Hong Qin

The aim of this paper is to provide a survey of the state of the art in the finite element approach to the Immersed Boundary Method (FE-IBM) which has been investigated by the authors during the last decade. In a unified setting, we present…

数值分析 · 数学 2014-07-22 Daniele Boffi , Lucia Gastaldi

For most finite element simulations, boundary-conforming meshes have significant advantages in terms of accuracy or efficiency. This is particularly true for complex domains. However, with increased complexity of the domain, generating a…

数值分析 · 数学 2021-04-07 Jan Helmig , Fabian Key , Marek Behr , Stefanie Elgeti

We propose an efficient and accurate parametric finite element method (PFEM) for solving sharp-interface continuum models for solid-state dewetting of thin films with anisotropic surface energies. The governing equations of the…

数值分析 · 数学 2017-01-10 Weizhu Bao , Wei Jiang , Yan Wang , Quan Zhao

Accurately depicting multiphysics interactions in interfacial systems requires computational frameworks capable of reconciling geometric adaptability with strict conservation fidelity. However, traditional spatiotemporal discretisation…

计算工程、金融与科学 · 计算机科学 2025-11-18 Suhaib Ardah , Francisco J. Profito , Daniele Dini

The Position Based Fluids (PBF) method is a state-of-the-art approach for fluid simulations in the context of real-time applications like games. It uses an iterative solver concept that tries to maintain a constant fluid density…

图形学 · 计算机科学 2016-08-17 Marcel Köster , Antonio Krüger

We present a finite element discretisation to model the interaction between a poroelastic structure and an elastic medium. The consolidation problem considers fully coupled deformations across an interface, ensuring continuity of…

数值分析 · 数学 2023-06-21 S. Badia , M. Hornkjøl , A. Khan , K. -A. Mardal , A. F. Martín , R. Ruiz-Baier

In a recent class of phase field crystal (PFC) models, the density order parameter is coupled to powers of its mean field. This effectively introduces a phenomenology of higher-order direct correlation functions acting on long wavelengths,…

材料科学 · 物理学 2024-08-21 Daniel L. Coelho , Duncan Burns , Emily Wilson , Nikolas Provatas

We develop a cut finite element method (CutFEM) for convection-diffusion problems posed on mixed-dimensional domains, i.e., unions of manifolds of different dimensions arranged in a hierarchical structure where lower-dimensional components…

数值分析 · 数学 2026-04-09 Erik Burman , Peter Hansbo , Mats G. Larson , Karl Larsson , Shantiram Mahata

It is established that liquid metals exhibit surface layering at the liquid-vapor interface, while dielectric simple systems, like those interacting through Lennard-Jones potentials, show a monotonic decay from the liquid density to that of…

无序系统与神经网络 · 物理学 2009-11-11 Luis E. Gonzalez , David J. Gonzalez

We present a novel computational paradigm for process design in manufacturing processes that incorporates simulation responses to optimize manufacturing process parameters in high-dimensional temporal and spatial design spaces. We developed…

计算工程、金融与科学 · 计算机科学 2021-07-26 Mojtaba Mozaffar , Jian Cao

A numerical tool relying on sharp Immersed Boundary Method (IBM) is developed for the analysis of aerospace applications. The method, which is conceived for application using segregated solvers relying on implicit time discretization, uses…

计算工程、金融与科学 · 计算机科学 2025-02-25 M. A. Chemak , E. Constant , M. Meldi