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The complexity of binary droplet collisions increases for the collision of immiscible liquids with the occurrence of triple lines and thin encapsulating films. The Volume of Fluid (VOF) method is extended with an efficient interface…

Fluid Dynamics · Physics 2023-06-22 Johanna Potyka , Kathrin Schulte

A hybrid sharp-interface immersed-boundary/front-tracking (IB/FT) method is developed for interface-resolved simulation of evaporating droplets in incompressible multiphase flows. A one-field formulation is used to solve the flow, species…

Fluid Dynamics · Physics 2025-10-30 Faraz Salimnezhad , Hasret Turkeri , Iskender Gokalp , Metin Muradoglu

This work presents an overview of mesh-induced errors commonly experienced by cell-centred finite volumes (CCFV), for which the face-centred finite volume (FCFV) paradigm offers competitive solutions. In particular, a robust FCFV solver for…

Fluid Dynamics · Physics 2025-12-03 Davide Cortellessa , Matteo Giacomini , Antonio Huerta

In this work, we propose a novel model order reduction approach for two-phase flow in porous media by introducing a formulation in which the mobility, which realizes the coupling between phase saturations and phase pressures, is regarded as…

Numerical Analysis · Mathematics 2014-05-13 Sven Kaulmann , Bernd Flemisch , Bernard Haasdonk , Knut-Andreas Lie , Mario Ohlberger

In this work, we introduce two novel reformulations of a recent weakly hyperbolic model for two-phase flow with surface tension. In the model, the tracking of phase boundaries is achieved by using a vector interface field, rather than a…

Numerical Analysis · Mathematics 2021-02-03 Simone Chiocchetti , Ilya Peshkov , Sergey Gavrilyuk , Michael Dumbser

We perform high-order simulations of two-phase flows in capillaries, with and without evaporation. Since a sharp-interface model is used, singularities can arise at the three-phase contact line, where the fluid-fluid interface interacts…

Fluid Dynamics · Physics 2025-02-14 Irina Shishkina , Matthias Rieckmann , Martin Oberlack , Florian Kummer

An advanced Volume of Fluid (VOF) method is presented that enables performant three-dimensional Direct Numerical Simulations (DNS) of the interaction of two immiscible fluids in a gaseous environment with large topology changes, e.g.,…

Fluid Dynamics · Physics 2023-11-08 Johanna Potyka , Kathrin Schulte

Microvascular networks are challenging to model because these structures are currently near the diffraction limit for most advanced three-dimensional imaging modalities, including confocal and light sheet microscopy. This makes semantic…

Image and Video Processing · Electrical Eng. & Systems 2024-04-04 Meher Niger , Helya Goharbavang , Taeyong Ahn , Emily K. Alley , Joshua D. Wythe , Guoning Chen , David Mayerich

OpenFOAM is a widely used computational fluid dynamics (CFD) framework based on the finite volume method for solving a wide range of flow problems. However, its default numerical schemes, particularly the Kurganov-Noelle-Petrova (KNP)…

Fluid Dynamics · Physics 2025-10-29 Anurag Adityanarayan Ray , Sreejita Bhaduri , Swetarka Das , Ashoke De

We consider two-level finite element discretization methods for the stream function formulation of the Navier-Stokes equations. The two-level method consists of solving a small nonlinear system on the coarse mesh, then solving a linear…

Numerical Analysis · Mathematics 2025-10-20 Faisal Fairag

Accurate modeling of moving boundaries and interfaces is a difficulty present in many situations of computational mechanics. We use the eXtreme Mesh deformation approach (X-Mesh) to simulate the interaction between two immiscible flows…

Computational Engineering, Finance, and Science · Computer Science 2024-02-02 Antoine Quiriny , Jonathan Lambrechts , Nicolas Moës , Jean-François Remacle

The lattice Boltzmann method, now widely used for a variety of applications, has also been extended to model multi-phase flows through different formulations. While already applied to many different configurations in the low Weber and…

Fluid Dynamics · Physics 2021-02-02 S. A. Hosseini , H. Safari , D. Thévenin

We perform a non-linear analysis of a fluid-fluid wavy-stratified flow using a simplified two-fluid model, i.e., the fixed-flux model (FFM) which is an adaptation of shallow water theory for the two-layer problem. Linear analysis using the…

Stochastic physical problems governed by nonlinear conservation laws are challenging due to solution discontinuities in stochastic and physical space. In this paper, we present a level set method to track discontinuities in stochastic space…

Numerical Analysis · Mathematics 2019-06-26 Per Pettersson , Alireza Doostan , Jan Nordström

Unstructured meshes are among the most versatile approaches for capturing non-canonical geometries in fluid dynamics simulations. Despite this, most high-fidelity first-principles phase-change models are developed and applied on structured…

Computational Physics · Physics 2026-04-17 Jan Kren , Bojan Ničeno , Yohei Sato

Liquid simulations for computer animation often avoid simulating the air phase to reduce computational costs and ensure good conditioning of the linear systems required to enforce incompressibility. However, this free surface assumption…

Graphics · Computer Science 2017-12-01 Ryan Goldade , Christopher Batty

In this paper we use molecular dynamics (MD) to answer a classical question: how does the surface tension on a liquid/gas interface appear? After defining surface tension from the first principles and performing several consistency checks,…

Soft Condensed Matter · Physics 2013-10-24 Alex Lukyanov , Alexei Likhtman

This work presents a rigorous mathematical formulation for topology optimization of a macrostructure undergoing ductile failure. The prediction of ductile solid materials which exhibit dominant plastic deformation is an intriguingly…

Numerical Analysis · Mathematics 2023-03-22 Nima Noii , Hassan Ali Jahangiry , Haim Waisman

In this note, the existing porousMultiphaseFoam toolbox, developed initially for any two-phase flow in porous media is extended to the specific case of the Richards' equation which neglect the pressure gradient of the non-wetting phase.…

Computational Engineering, Finance, and Science · Computer Science 2015-10-07 Pierre Horgue , Jacques Franc , Romain Guibert , Gérald Debenest

The seven-equation model is a compressible multiphase formulation that allows for phasic velocity and pressure disequilibrium. These equations are solved using a diffused interface method that models resolved multiphase flows. Novel…

Fluid Dynamics · Physics 2023-01-24 Achyut Panchal , Spencer H. Bryngelson , Suresh Menon