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In so-called Lagrangian melting problems, a solid immersed in a fluid medium is free to rotate and translate in tandem with its phase-change from solid to liquid. Such configurations may be classified as a fluid-solid interaction (FSI)…

Fluid Dynamics · Physics 2025-01-16 Kevin Zhong , Christopher J. Howland , Detlef Lohse , Roberto Verzicco

In this work it is shown how the immersed boundary method of (Peskin2002) for modeling flexible structures immersed in a fluid can be extended to include thermal fluctuations. A stochastic numerical method is proposed which deals with…

Soft Condensed Matter · Physics 2023-02-28 P. J. Atzberger , P. R. Kramer , C. S. Peskin

This study introduces an open-source computational framework for the generation and permeability evaluation of synthetic porous media. The proposed methodology integrates crystallographic and meshing tools to construct controlled…

Tissues and Organs · Quantitative Biology 2025-02-21 Thomas Lavigne , Camilo Andrés Suarez Afanador , Anas Obeidat , Stéphane Urcun

Thermal modeling of Laser Powder Bed Fusion (LPBF) is challenging due to steep, rapidly moving thermal gradients induced by the laser, which are difficult to resolve accurately with conventional Finite Element Methods. Highly refined,…

Numerical Analysis · Mathematics 2025-11-26 Yang Yang , Ye Ji , Matthias Möller , Can Ayas

In this work, we consider fluid-structure interaction simulation with nonlinear hyperelastic models in the solid part. We use a partitioned approach to deal with the coupled nonlinear fluid-structure interaction problems. We focus on…

Numerical Analysis · Mathematics 2013-12-20 Ulrich Langer , Huidong Yang

In this work, we present an alternative methodology to solve the particle-fluid interaction in the resolved CFDEM coupling framework. This numerical approach consists of coupling a Discrete Element Method (DEM) with a Computational Fluid…

Fluid Dynamics · Physics 2021-07-14 Ilberto Fonceca , Diego Maza , Raúl Cruz Hidalgo

We present an interface and geometry preserving (IGP) method for the modeling of fully Eulerian fluid-structure interaction via phase-field formulation. While the hyperbolic tangent interface profile is preserved by the time-dependent…

Fluid Dynamics · Physics 2023-02-01 Xiaoyu Mao , Rajeev Jaiman

In this paper we construct a novel technique for eliminating and recovering the pressure for a fluid-structure interaction model. This pressure elimination methodology is valid for general bounded Lipschitz domains. The specific…

Analysis of PDEs · Mathematics 2026-01-27 George Avalos , Yuhao Mu

We present an enhanced immersed interface method for simulating incompressible fluid flows in thin gaps between closely spaced immersed boundaries. This regime, common in engineered structures such as including tribological interfaces and…

Fluid Dynamics · Physics 2026-03-17 Michael J. Facci , Qi Sun , Boyce E. Griffith

Ab initio molecular dynamics (AIMD) simulations employing density functional theory (DFT) and plane waves are routinely carried out using density functionals at the level of Generalized Gradient Approximation (GGA). AIMD simulations…

Chemical Physics · Physics 2020-03-04 Sagarmoy Mandal , Nisanth N. Nair

It is well known that domain-decomposition-based multiscale mixed methods rely on interface spaces, defined on the skeleton of the decomposition, to connect the solution among the non-overlapping subdomains. Usual spaces, such as…

Numerical Analysis · Mathematics 2023-04-10 Franciane F. Rocha , Fabricio S. Sousa , Roberto F. Ausas , Felipe Pereira , Gustavo C. Buscaglia

We outline a 2D algorithm for solving incompressible flow--structure interaction problems for mixed rigid/soft body representations, within a consistent framework based on the remeshed vortex method. We adopt the one--continuum formulation…

Computational Physics · Physics 2021-08-18 Yashraj Bhosale , Tejaswin Parthasarathy , Mattia Gazzola

A rigorous derivation and validation for linear fluid-structure-interaction (FSI) equations for a rigid-body-motion problem is performed in an Eulerian framework. We show that the added-stiffness terms arising in the formulation of Fanion…

Fluid Dynamics · Physics 2020-10-28 Prabal S. Negi , Ardeshir Hanifi , Dan S. Henningson

We extend the recently introduced divergence-conforming immersed boundary (DCIB) method [1] to fluid-structure interaction (FSI) problems involving closed co-dimension one solids. We focus on capsules and vesicles, whose discretization is…

To accurately simulate all phases of the cardiac cycle, computational models of hemodynamics in heart chambers need to include a sufficiently faithful model of cardiac valves. This can be achieved efficiently through resistive methods, and…

Numerical Analysis · Mathematics 2025-06-05 Michele Bucelli , Luca Dede'

We present numerical simulations of active fluid droplets immersed in an external fluid in 2-dimensions { using} an Immersed Boundary method to simulate the fluid droplet interface as a Lagrangian mesh. We present results from two example…

Soft Condensed Matter · Physics 2016-09-28 Carl A. Whitfield , Rhoda J. Hawkins

We present a loosely coupled approach for the solution of fluid-structure interaction problems between a compressible flow and a deformable structure. The method is based on staggered Dirichlet-Neumann partitioning. The interface motion in…

This work presents a robust and efficient sharp interface immersed boundary (IBM) framework, which is applicable for all-speed flow regimes and is capable of handling arbitrarily complex bodies (stationary or moving). The work deploys an…

Computational Physics · Physics 2021-01-22 Pradeep Kumar Seshadri , Ashoke De

We develop a numerical method for simulating coupled interactions of complex floating structures with large-scale ocean waves and atmospheric turbulence. We employ an efficient large-scale model to develop offshore wind and wave…

Fluid Dynamics · Physics 2016-05-06 Antoni Calderer , Xin Guo , Lian Shen , Fotis Sotiropoulos

We describe an immersed boundary method in which the fluid-structure coupling is achieved in an Eulerian framework. The method is an improved extension of the immersed boundary method originally developed by Kajishima et al. [1], which…

Fluid Dynamics · Physics 2022-01-12 Naoki Hori , Marco Edoardo Rosti , Shu Takagi