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An existing phase-field model of two immiscible fluids with a single soluble surfactant present is discussed in detail. We analyze the well-posedness of the model and provide strong evidence that it is mathematically ill-posed for a large…

Numerical Analysis · Mathematics 2013-03-20 Stefan Engblom , Minh Do-Quang , Gustav Amberg , Anna-Karin Tornberg

We present a systematic study of capillary filling for multi-phase flows by using mesoscopic lattice Boltzmann models describing a diffusive interface moving at a given contact angle with respect to the walls. We compare the numerical…

Cellular Automata and Lattice Gases · Physics 2007-07-09 F. Diotallevi , L. Biferale , S. Chibbaro , A. Lamura , G. Pontrelli , M. Sbragaglia , S. Succi , F. Toschi

In our recent work [H. Zhang, F.X. Trias, A. Oliva, D. Yang, Y. Tan, Y. Sheng. PIBM: Particulate immersed boundary method for fluid-particle interaction problems. Powder Technology. 272(2015), 1-13.], a particulate immersed boundary method…

Computational Physics · Physics 2015-02-05 Hao Zhang , Haizhuan Yuan , F. Xavier Trias , Aibing Yu , Yuanqiang Tan , Assensi Oliva

In this paper we develop a conservative sharp-interface method dedicated to simulating multiple compressible fluids. Numerical treatments for a cut cell shared by more than two materials are proposed. First, we simplify the interface…

Computational Physics · Physics 2019-05-30 Shucheng Pan , Luhui Han , Xiangyu Hu , Nikolaus. A. Adams

Accurate representation of interfaces and flux exchange is vital for coupled multiphysics simulations across a broad range of applications. Currently, coupling approaches are limited by the underlying discretization or to specific physical…

Fluid Dynamics · Physics 2026-03-10 Ethan Huff , Savio J. Poovathingal

We use a simple and efficient computer model to investigate the physical properties of bilayer membranes. The amphiphilic molecules are modeled as short rigid trimers with finite range pair interactions between them. The pair potentials…

Soft Condensed Matter · Physics 2009-11-10 Oded Farago

This work outlines a new multi-physics-compatible immersed rigid body method for Eulerian finite-volume simulations. To achieve this, rigid bodies are represented as a diffuse scalar field and an interface seeding method is employed to…

Computational Physics · Physics 2022-03-15 Tim Wallis , Philip Barton , Nikolaos Nikiforakis

Multiphase systems are ubiquitous in engineering, biology, and materials science, where understanding their complex interactions and rheological behavior is crucial for advancing applications ranging from emulsion stability to cellular…

Fluid Dynamics · Physics 2025-10-27 Andres Santiago Espinosa-Moreno , Nicolas Moreno , Marco Ellero

Many additive manufacturing (AM) technologies rely on powder feedstock, which is fused to form the final part either by melting or by chemical binding with subsequent sintering. In both cases, process stability and resulting part quality…

Computational Engineering, Finance, and Science · Computer Science 2022-01-25 Sebastian L. Fuchs , Patrick M. Praegla , Christian J. Cyron , Wolfgang A. Wall , Christoph Meier

The multiphase flow mechanism in miscible displacement through porous media is an important topic in various applications, such as petroleum engineering, low Reynolds number suspension flows, dusty gas dynamics, and fluidized beds. To…

Fluid Dynamics · Physics 2017-05-03 M. Jalal Ahammad , Jahrul M Alam

Computational modeling and simulation are presented on the motion of red blood cells behind a moving interface in a capillary. The methodology is based on an immersed boundary method and the skeleton structure of the red blood cell (RBC)…

Fluid Dynamics · Physics 2013-04-16 Shihai Zhao , Tsorng-Whay Pan

An enhanced geometric algorithm for automated pore-by-pore contact angle measurement from micro-CT images, is presented that achieves superior accuracy compared to existing methods through robust fluid-fluid and solid-fluid interface…

Computational Engineering, Finance, and Science · Computer Science 2025-07-03 Faisal Aljaberi , Hadi Belhaj , Sajjad Foroughi , Mohammed Al-Kobaisi , Martin Blunt

A two-phase model and its application to wavefields numerical simulation are discussed in the context of modeling of compressible fluid flows in elastic porous media. The derivation of the model is based on a theory of thermodynamically…

Fluid Dynamics · Physics 2020-06-11 Evgeniy Romenski , Galina Reshetova , Ilya Peshkov , Michael Dumbser

This work outlines a diffuse interface method for the study of fracture and fragmentation in ductile metals at high strain-rates in Eulerian finite volume simulations. The work is based on an existing diffuse interface method capable of…

Computational Physics · Physics 2022-10-11 Tim Wallis , Philip T. Barton , Nikolaos Nikiforakis

In this contribution we present the first formulation of a heterogeneous multiscale method for an incompressible immiscible two-phase flow system with degenerate permeabilities. The method is in a general formulation which includes…

Numerical Analysis · Mathematics 2014-11-24 Patrick Henning , Mario Ohlberger , Ben Schweizer

We develop and harness a phase field simulation method to study liquid filling on grooved surfaces. We consider both short-range and long-range liquid-solid interactions, with the latter including purely attractive and repulsive…

Fluid flow through bimodal porous media, characterized by a distinct separation in pore size distribution, is critical in various scientific and engineering applications, including groundwater management, oil and gas production, and carbon…

Fluid Dynamics · Physics 2024-09-06 Yuhe Wang , Yating Wang

The analysis of diffusion processes in real-world propagation scenarios often involves estimating variables that are not directly observed. These hidden variables include parental relationships, the strengths of connections between nodes,…

Social and Information Networks · Computer Science 2016-05-12 Shohreh Shaghaghian , Mark Coates

Direct numerical simulations are used to elucidate the interplay of wettability and fluid viscosities on immiscible fluid displacements in a heterogeneous porous medium.We classify the flow regimes based using qualitative and quantitative…

In this work, we use a moving Voronoi and sharp interface approach for simulating two-phase flows. At every time step, the mesh is generated anew from Voronoi seeds that behave as material points. The paper is a continuation of our previous…

Numerical Analysis · Mathematics 2025-03-18 Ondřej Kincl , Ilya Peshkov , Walter Boscheri
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