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The aim of this article is to introduce a new methodology for constructing morphings between shapes that have identical topology. The morphings are obtained by deforming a reference shape, through the resolution of a sequence of linear…

Numerical Analysis · Mathematics 2025-02-04 Abbas Kabalan , Fabien Casenave , Felipe Bordeu , Virginie Ehrlacher , Alexandre Ern

The flow within adhering droplets subjected to external shear flows has a significant influence on the stability and eventual detachment of the droplets from the surface. Most commonly, the velocity field inside adhering droplets is…

We present accurate and mathematically consistent formulations of a diffuse-interface model for two-phase flow problems involving rapid evaporation. The model addresses challenges including discontinuities in the density field by several…

Computational Engineering, Finance, and Science · Computer Science 2024-11-04 Magdalena Schreter-Fleischhacker , Peter Munch , Nils Much , Martin Kronbichler , Wolfgang A. Wall , Christoph Meier

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

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

We present a high-order, sharp-interface method for simulation of two-phase flow of real gases using implicit shock tracking. The method is based on a phase-field formulation of two-phase, compressible, inviscid flow with a trivial mixture…

Fluid Dynamics · Physics 2025-03-10 Charles Naudet , Brian Taylor , Matthew J. Zahr

We examine the process of particle capture by large deformable drops in turbulent channel flow. We simulate the solid-liquid-liquid three-phase flow with an Eulerian-Lagrangian method based on Direct Numerical Simulation of turbulence…

Fluid Dynamics · Physics 2020-11-05 Arash Hajisharifi , Cristian Marchioli , Alfredo Soldati

A numerical framework for rigorous linear stability analysis of two-phase stratified flows of two immiscible fluids in horizontal circular pipes is presented. For the first time, three-dimensional disturbances, including those at the…

Fluid Dynamics · Physics 2023-07-17 Ilya Barmak , Alexander Gelfgat , Neima Brauner

Liquid-droplet coalescence and the mergers of liquid lenses are problems of great practical and theoretical interest in fluid dynamics and the statistical mechanics of multi-phase flows. During such mergers, there is an interesting and…

Fluid Dynamics · Physics 2024-10-08 Vasanth Kumar Babu , Nadia Bihari Padhan , Rahul Pandit

By solving the Young Laplace equation of capillary hydrostatics one can accurately determine equilibrium shapes of droplets on relatively smooth solid surfaces. The solution, however of the Young Laplace equation becomes tricky when a…

Soft Condensed Matter · Physics 2013-06-05 Nikolaos T. Chamakos , Michail E. Kavousanakis , Athanasios G. Papathanasiou

Surfactants reside at the interface of two-phase flows and significantly influence the flow dynamics. Numerical simulations are essential for a comprehensive understanding of such surfactant-laden flows and require a method that can…

Fluid Dynamics · Physics 2026-05-20 Shu Yamashita , Shintaro Matsushita , Tetsuya Suekane

Liposomes that achieve a heterogeneous and spatially organized surface through phase separation have been recognized to be a promising platform for delivery purposes. However, their design and optimization through experimentation can be…

Soft Condensed Matter · Physics 2021-11-05 Y. Wang , Y. Palzhanov , A. Quaini , M. Olshanskii , S. Majd

We present a strongly-coupled immersed-boundary method for flow-structure interaction problems involving thin deforming bodies. The method is stable for arbitrary choices of solid-to-fluid mass ratios and for large body motions. As with…

Fluid Dynamics · Physics 2016-10-05 Andres Goza , Tim Colonius

Triadic interactions are the fundamental mechanism of energy transfer in fluid flows. This work introduces bispectral mode decomposition as a direct means of educing flow structures that are associated with triadic interactions from…

Fluid Dynamics · Physics 2021-01-20 Oliver T. Schmidt

We present a particle method for estimating the curvature of interfaces in volume-of-fluid simulations of multiphase flows. The method is well suited for under-resolved interfaces, and it is shown to be more accurate than the parabolic…

Computational Physics · Physics 2020-01-23 Petr Karnakov , Sergey Litvinov , Petros Koumoutsakos

Triangulated meshes have become ubiquitous discrete-surface representations. In this paper we address the problem of how to maintain the manifold properties of a surface while it undergoes strong deformations that may cause topological…

Computer Vision and Pattern Recognition · Computer Science 2020-12-11 Andrei Zaharescu , Edmond Boyer , Radu Horaud

We present a coupling framework for Stokes-Darcy systems valid for arbitrary flow direction at low Reynolds numbers and for isotropic porous media. The proposed method is based on an overlapping domain decomposition concept to represent the…

Numerical Analysis · Mathematics 2024-01-24 Marco Discacciati , Paola Gervasio

The application of modern topology optimization techniques to single physics systems has seen great advances in the last three decades. However, the application of these tools to sophisticated multiphysics systems such as fluid-structure…

Numerical Analysis · Mathematics 2023-08-11 Mohamed Abdelhamid , Aleksander Czekanski

This contribution presents a diffuse framework for modeling cracks in heterogeneous media. Interfaces are depicted by static phase-fields. This concept allows the use of non-conforming meshes. Another phase-field is used to describe the…

Materials Science · Physics 2020-05-11 Arne Claus Hansen-Dörr , Franz Dammaß , René de Borst , Markus Kästner

The paper proposes a physically consistent numerical discretization approach for simulating viscous compressible multicomponent flows. It has two main contributions. First, a contact discontinuity (and material interface) detector is…

Fluid Dynamics · Physics 2026-04-07 Amareshwara Sainadh Chamarthi