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We consider a fluid-structure interaction problem in the Eulerian, phase-field formulation. The problem is described using the Navier--Stokes equations for a viscous, incompressible fluid, coupled with the incompressible hyperelasticity…

数值分析 · 数学 2026-03-30 Francis R. A. Aznaran , Martina Bukač , Boris Muha

Accurately modeling the dynamics of high-density ratio ($\mathcal{O}(10^5)$) two-phase flows is important for many material science and manufacturing applications. This work considers numerical simulations of molten metal oscillations in…

流体动力学 · 物理学 2025-01-03 Ali Rabeh , Makrand A. Khanwale , John J. Lee , Baskar Ganapathysubramanian

We introduce a novel approach to simulate the interaction between fluids and thin elastic solids without any penetration. Our approach is centered around an optimization system augmented with barriers, which aims to find a configuration…

图形学 · 计算机科学 2026-05-04 Yuchen Sun , Jinyuan Liu , Yin Yang , Chenfanfu Jiang , Minchen Li , Bo Zhu

We present a novel framework inspired by the Immersed Boundary Method for predicting the fluid-structure interaction of complex structures immersed in flows with moderate to high Reynolds numbers. The main novelties of the proposed…

The coupled Cahn-Hilliard and Navier-Stokes (CH-NS) equations provide a powerful framework for modeling multiphase flows with diffuse interfaces, enabling simulations of droplet breakup, bubble dynamics, and hydrodynamic instabilities.…

软凝聚态物质 · 物理学 2025-09-03 Sukriti Manna , Constantine M Megaridis , Subramanian KRS Sankaranarayanan

In this paper, we develop a novel phase-field model for fluid-structure interaction (FSI), that is capable to handle very large deformations as well as topology changes like contact of the solid to the domain boundary. The model is based on…

计算物理 · 物理学 2023-05-03 Dominic Mokbel , Helmut Abels , Sebastian Aland

The paper is devoted to the simulation of maritime two-phase flows of air and water. Emphasis is put on an extension of the classical Volume-of-Fluid (VoF) method by a diffusive contribution derived from a Cahn-Hilliard (CH) model and its…

计算物理 · 物理学 2020-03-24 Niklas Kühl , Michael Hinze , Thomas Rung

Many multiphase fluid systems, such as those involving immiscible polymers or liquid-liquid systems with surfactants, have shown a breakdown of the no-slip condition at the material interface. This results in systems where the tangential…

流体动力学 · 物理学 2023-04-05 Afsoun Rahnama Falavarjani , David Salac

We consider a computational model for complex-fluid-solid interaction based on a diffuse-interface model for the complex fluid and a hyperelastic-material model for the solid. The diffuse-interface complex-fluid model is described by the…

数值分析 · 数学 2015-10-09 E. H. van Brummelen , M. Shokrpour-Roudbari , G. J. van Zwieten

Incompressible flow solvers based on strong-form meshfree methods represent arbitrary geometries without the need for a global mesh system. However, their local evaluations make it difficult to satisfy incompressibility at the discrete…

数值分析 · 数学 2026-05-05 Takeharu Matsuda , Satoshi Ii

We develop a combined field formulation for the fluid structure (FS) interaction problem. The unknowns are (u;p;v), being the fluid velocity, fluid pressure and solid velocity. This combined field formulation uses Arbitrary Lagrangian…

数值分析 · 数学 2014-01-03 Jie Liu

In this paper, we study a nonlinear fluid-structure interaction problem driven by a multiplicative, white-in-time noise. The problem consists of the Navier-Stokes equations describing the flow of an incompressible, viscous fluid in a 2D…

偏微分方程分析 · 数学 2024-02-14 Krutika Tawri

We consider the incompressible flow of two immiscible fluids in the presence of a solid phase that undergoes changes in time due to precipitation and dissolution effects. Based on a seminal sharp interface model a phase field approach is…

偏微分方程分析 · 数学 2019-12-20 Christian Rohde , Lars von Wolff

While various phase-field models have recently appeared for two-phase fluids with different densities, only some are known to be thermodynamically consistent, and practical stable schemes for their numerical simulation are lacking. In this…

We present Aquarium, a differentiable fluid-structure interaction solver for robotics that offers stable simulation, accurately coupled fluid-robot physics in two dimensions, and full differentiability with respect to fluid and robot states…

机器人学 · 计算机科学 2023-03-09 Jeong Hun Lee , Mike Y. Michelis , Robert Katzschmann , Zachary Manchester

We present a hybrid spectral element-Fourier spectral method for solving the coupled system of Navier-Stokes and Cahn-Hilliard equations to simulate wall-bounded two-phase flows in a three-dimensional domain which is homogeneous in at least…

流体动力学 · 物理学 2018-10-10 S. H. Challa , S. Dong , L. D. Zhu

Using a fixed Eulerian mesh, the phase-field method has been successfully utilized for a broad range of moving boundary problems involving multiphase fluids and single-phase fluid-structure interaction. Nevertheless, multiphase fluids…

流体动力学 · 物理学 2024-02-19 Xiaoyu Mao , Rajeev Jaiman

We report on simulations of two-phase flows with deforming interfaces at various density contrasts by solving thermodynamically consistent Cahn-Hilliard Navier-Stokes equations. An (essentially) unconditionally energy-stable…

We present a two-phase field model and a hybrid particle-phase field model to simulate dilute colloidal sedimentation and flotation near a liquid-gas interface (or fluid-fluid interface in general). Both models are coupled to the…

软凝聚态物质 · 物理学 2024-10-01 Alexandra J. Hardy , Abdallah Daddi-Moussa-Ider , Elsen Tjhung

We develop a three-dimensional Eulerian framework to simulate fluid-structure interaction (FSI) problems on a fixed Cartesian grid using the geometric volume-of-fluid (VOF) method. The coupled problem involves incompressible flow and…

流体动力学 · 物理学 2025-05-30 Soham Prajapati , Ali Fakhreddine , Krishnan Mahesh
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