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Multiphase flows are characterized by sharp moving interfaces, separating different fluids or phases. In many cases the dynamics of the interface determines the behavior of the flow. In a coarse, or reduced order model, it may therefore be…

Fluid Dynamics · Physics 2021-08-12 Xianyang Chen , Jiacai Lu , Gretar Tryggvason

For interface tracking of an arbitrary number of materials in two dimensions, we propose a multiphase cubic MARS method that (a) represents the topology and geometry of the interface via graphs, cycles, and cubic splines, (b) applies to any…

Numerical Analysis · Mathematics 2026-04-06 Yan Tan , Yixiao Qian , Zhiqi Li , Qinghai Zhang

There are many applications of multiphase flow in important fields such as biological, chemical and power processes. Bubble coalescence is of a significant importance in simulating multiphase fluid flows. Weber number ($W_e$), Reynolds…

Fluid Dynamics · Physics 2021-02-25 Seyedmehdi Abtahi , Mehrdad Izadjoo

This paper proposes a diffuse-interface model for simulating gas-liquid-solid multiphase flows involving solid-liquid phase change, solute transport, and the Marangoni effect. In this model, a phase-field method is employed to capture the…

Fluid Dynamics · Physics 2025-11-13 Jiangxu Huang , Zhenhua Chai , Xi Liu , Changsheng Huang

We present a systematic investigation of convolutional autoencoders for the reduced-order representation of three-dimensional interfacial multiphase flows. Focusing on the reconstruction of phase indicators, we examine how the choice of…

Computational Engineering, Finance, and Science · Computer Science 2025-12-29 Murray Cutforth , Shahab Mirjalili

Aiming for the simulation of colloidal droplets in microfluidic devices, we present here a numerical method for two-fluid systems subject to surface tension and depletion forces among the suspended droplets. The algorithm is based on an…

Fluid Dynamics · Physics 2017-12-15 Zhouyang Ge , Jean-Christophe Loiseau , Outi Tammisola , Luca Brandt

Insoluble surfactants adsorbed at liquid-liquid or gas-liquid interfaces alter interfacial tension, leading to variations in the normal stress jump and generating tangential Marangoni stresses that can dramatically affect the flow dynamics.…

Fluid Dynamics · Physics 2025-07-15 Zhong-Han Xue , Jacques Magnaudet , Jie Zhang

This work has explored interface evolution and pinch-off mechanism of the droplet formation in two-phase flow through cross-flow microfluidic device. The two-dimensional mathematical model equations have been solved using the finite element…

Fluid Dynamics · Physics 2022-03-10 Akepogu Venkateshwarlu , Ram Prakash Bharti

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…

The present work introduces a deep learning approach for the three-dimensional reconstruction of the spatio-temporal dynamics of the gas-liquid interface in two-phase flows on the basis of monocular images obtained via optical measurement…

Fluid Dynamics · Physics 2023-10-25 Maximilian Dreisbach , Jochen Kriegseis , Alexander Stroh

Suspensions with fiber-like particles in the low Reynolds number regime are modeled by two different approaches that both use a Lagrangian representation of individual particles. The first method is the well-established formulation based on…

Computational Engineering, Finance, and Science · Computer Science 2015-03-25 Dominik Bartuschat , Ellen Fischermeier , Katarina Gustavsson , Ulrich Rüde

We study the roughening transition of an interface in an Ising system on a 3D simple cubic lattice using a finite size scaling method. The particular method has recently been proposed and successfully tested for various solid on solid…

High Energy Physics - Lattice · Physics 2009-10-28 M. Hasenbusch , S. Meyer , M. Pütz

In this work, we couple a high-accuracy phase-field fracture reconstruction approach iteratively to fluid-structure interaction. The key motivation is to utilize phase-field modelling to compute the fracture path. A mesh reconstruction…

Numerical Analysis · Mathematics 2024-08-19 Henry von Wahl , Thomas Wick

A coarse grained description of a two phase fluid is used to study the steady state configuration of the interface separating the coexisting phases, and the motion of the contact line at which the interface intersects a solid boundary. The…

Statistical Mechanics · Physics 2009-10-31 Hsuan-Yi Chen , David Jasnow , Jorge Vinals

We present a novel Front-Tracking method, the Edge-Based Interface Tracking (EBIT) method for multiphase flow simulations. In the EBIT method, the markers are located on the grid edges and the interface can be reconstructed without storing…

Fluid Dynamics · Physics 2024-07-18 Tian Long , Jieyun Pan , Stéphane Zaleski

We developed a computational framework for simulating thin fluid flow in narrow interfaces between contacting solids, which is relevant for a range of engineering, biological and geophysical applications. The treatment of this problem…

Computational Engineering, Finance, and Science · Computer Science 2021-03-23 Andrei G. Shvarts , Julien Vignollet , Vladislav A. Yastrebov

This paper introduces a volume-conserving interface tracking algorithm on unstructured triangle meshes. We propose to discretize the interface via triangle edge cuts which represent the intersections between the interface and the triangle…

Graphics · Computer Science 2024-10-21 Mengdi Wang , Matthew Cong , Bo Zhu

Marching Cube algorithm is currently one of the most popular 3D reconstruction surface rendering algorithms. It forms cube voxels through the input image, and then uses 15 basic topological configurations to extract the iso-surfaces in the…

Graphics · Computer Science 2021-02-23 Xin Wang , Su Gao , Monan Wang , Zhenghua Duan

A new method for interface tracking is presented. The interface representation, based on domain decomposition, provides the interface location explicitly, yet is Eulerian. This allows for well established finite difference methods on…

Fluid Dynamics · Physics 2013-02-20 Dag Lindbo , Anna-Karin Tornberg

The study of phase transitions using data-driven approaches is challenging, especially when little prior knowledge of the system is available. Topological data analysis is an emerging framework for characterizing the shape of data and has…

Statistical Mechanics · Physics 2021-05-26 Quoc Hoan Tran , Mark Chen , Yoshihiko Hasegawa