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In this paper, a methodology for modelling two-phase flows based on a conservative level set method in the framework of finite volume method is presented. The novelty of the interface capturing method used here lies on the advection of…

Computational Physics · Physics 2021-10-22 Panagiotis Lyras , Antoine Hubert , Konstantinos G. Lyras

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

This paper presents a finite volume method for simulating two-phase flows using a level set approach coupled with volume of fluid method capable of simulating sharp fluid interfaces. The efficiency of the method is a result of the fact that…

Computational Physics · Physics 2022-07-20 Konstantinos G. Lyras , Jack Lee

As one of the most popular interface-capturing methods, the level-set method is inherently non-conservative, and its evolution usually leads to unphysical mass gain/loss. In this paper, a novel conservative level set method is developed for…

Computational Physics · Physics 2022-02-22 Tian Long , Jinsheng Cai , Shucheng Pan

We propose an implicit Discontinuous Galerkin (DG) discretization for incompressible two-phase flows using an artificial compressibility formulation. The conservative level set (CLS) method is employed in combination with a reinitialization…

Numerical Analysis · Mathematics 2025-08-27 Giuseppe Orlando

The level-set method is a popular interface tracking method in two-phase flow simulations. An often-cited reason for using it is that the method naturally handles topological changes in the interface, e.g. merging drops, due to the implicit…

Fluid Dynamics · Physics 2014-09-29 Åsmund Ervik , Karl Yngve Lervåg , Svend Tollak Munkejord

A two-phase, low-Mach-number flow solver is created and verified for variable-density liquid and gas with phase change. The interface is sharply captured using a split Volume-of-Fluid method generalized for a non-divergence-free liquid…

Fluid Dynamics · Physics 2022-06-08 Jordi Poblador-Ibanez , William A. Sirignano

We present a robust numerical method for solving incompressible, immiscible two-phase flows. The method extends the monolithic phase conservative level set method with embedded redistancing by Quezada de Luna et al. [38] and a semi-implicit…

Numerical Analysis · Mathematics 2019-03-19 Manuel Quezada de Luna , J. Haydel Collins , Christopher E. Kees

This work concerns the simulation of compressible multi-material fluid flows and follows the method FVCF-NIP described in the former paper Braeunig et al (Eur. J. Mech. B/Fluids, 2009). This Cell-centered Finite Volume method is totally…

Numerical Analysis · Mathematics 2010-10-26 Raphaël Loubère , Jean-Philippe Braeunig , Jean-Michel Ghidaglia

In this paper, we introduce a novel way to represent the interface for two-phase flows with phase change. We combine a level-set method with a Cartesian embedded boundary method and take advantage of both. This is part of an effort to…

Numerical Analysis · Mathematics 2022-12-28 A. Limare , S. Popinet , C. Josserand , Z. Xue , A. Ghigo

A comprehensive scheme for the spatial discretisation of continuity equation, momentum advection and normal and shear stresses at the fluid interfaces is presented for numerically simulating the incompressible two phase flows based on the…

Fluid Dynamics · Physics 2014-08-11 Jun-De Li

We propose an efficient numerical method for the simulation of multi-phase flows with moving contact lines in three dimensions. The mathematical model consists of the incompressible Navier-Stokes equations for the two immiscible fluids with…

Fluid Dynamics · Physics 2023-02-08 Quan Zhao , Shixin Xu , Weiqing Ren

In this paper a fully Eulerian solver for the study of multiphase flows for simulating the propagation of surface gravity waves over submerged bodies is presented. We solve the incompressible Navier-Stokes equations coupled with the volume…

Fluid Dynamics · Physics 2021-06-02 Francesco De Vita , Filippo De Lillo , Roberto Verzicco , Miguel Onorato

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

Development of a two-phase incompressible solver for magnetic flows in the magnetostatic case is presented. The proposed numerical toolkit couples the Navier-Stokes equations of hydrodynamics with Maxwell's equations of electromagnetism to…

Fluid Dynamics · Physics 2024-06-04 Paria Makaremi-Esfarjani , Andrew J. Higgins , Alireza Najafi-Yazdi

We consider the numerical approximation of a sharp-interface model for two-phase flow, which is given by the incompressible Navier-Stokes equations in the bulk domain together with the classical interface conditions on the interface. We…

Numerical Analysis · Mathematics 2023-06-21 Harald Garcke , Robert Nürnberg , Quan Zhao

We present a practical cell-centred volume-of-fluid method developed within a pure Eulerian setting for the simulation of compressible solid-fluid problems. The method builds on a previously published diffuse-interface Godunov-type scheme…

Computational Physics · Physics 2023-04-25 Timothy R. Law , Philip T. Barton

We propose a novel volume conserving framework for character-water interaction, using a novel volume-of-fluid solver on a skinned tetrahedral mesh, enabling the high degree of the spatial adaptivity in order to capture thin films and…

Graphics · Computer Science 2019-02-05 Minjae Lee , David Hyde , Kevin Li , Ronald Fedkiw

The numerical modelling of convection dominated high density ratio two-phase flow poses several challenges, amongst which is resolving the relatively thin shear layer at the interface. To this end we propose a sharp discretisation of the…

Numerical Analysis · Mathematics 2022-10-18 Ronald A. Remmerswaal , Arthur E. P. Veldman

This paper proposes a comparison of four popular interface capturing methods : the volume of fluid (VOF), the standard level set (SLS), the accurate conservative level set (ACLS) and the coupled level set and volume of fluid (CLSVOF). All…

Computational Physics · Physics 2021-06-04 Victor Boniou , Thomas Schmitt , Aymeric Vié
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