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Over the past decades, the volume-of-fluid (VOF) method has been the method of choice for simulating atomization processes, owing to its unique ability to discretely conserve mass. Current state-of-the-art VOF methods, however, rely on the…

Computational Physics · Physics 2024-01-29 Fabien Evrard , Robert Chiodi , Berend van Wachem , Olivier Desjardins

A new PLIC (piecewise linear interface calculation)-type VOF (volume of fluid) method, called APPLIC (approximated PLIC) method, is presented. Although the PLIC method is one of the most accurate VOF methods, the three-dimensional algorithm…

Computational Physics · Physics 2016-05-27 Akio Kawano

The accurate reconstruction of immiscible fluid-fluid interfaces from the volume fraction field is a critical component of geometric Volume of Fluid (VOF) methods. A common strategy is the Piecewise Linear Interface Calculation (PLIC),…

Computational Physics · Physics 2024-08-05 Andrew Cahaly , Fabien Evrard , Olivier Desjardins

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

Volume of fluid (VOF) methods are extensively used to track fluid interfaces in numerical simulations, and many VOF algorithms require that the interface be reconstructed geometrically. For this purpose, the Piecewise Linear Interface…

Numerical Analysis · Mathematics 2021-09-22 Mohammadmehdi Ataei , Markus Bussmann , Vahid Shaayegan , Franco Costa , Sejin Han , Chul B. Park

Volume of fluid(VOF) method is a sharp interface method employed for simulations of two phase flows. Interface in VOF is usually represented using piecewise linear line segments in each computational grid based on the volume fraction field.…

Computational Physics · Physics 2021-02-02 Ananthan M , Gaurav Tomar

We present a novel interface-capturing scheme, THINC-scaling, to unify the VOF (volume of fluid) and the level set methods, which have been developed as two different approaches widely used in various applications. The key to success is to…

Numerical Analysis · Mathematics 2021-04-14 Ronit Kumar , Lidong Cheng , Yunong Xiong , Bin Xie , Remi Abgrall , Feng Xiao

The mesh-dependency of the breakup of liquid films, including their breakup length scales and resulting drop size distributions, has long been an obstacle inhibiting the computational modeling of large-scale spray systems. With the aim of…

Fluid Dynamics · Physics 2024-05-22 Austin Han , Olivier Desjardins

We present a novel interface-capturing scheme, THINC-scaling, to unify the VOF (volume of fluid) and the level set methods, which have been developed as two completely different approaches widely used in various applications. The…

Numerical Analysis · Mathematics 2019-08-14 Ronit Kumar , Lidong Cheng , Bin Xie , Feng Xiao

A novel numerical technique designed for interface flow simulations using the Volume of Fluid (VOF) method on arbitrary unstructured meshes has been introduced. The method is called SimPLIC, which seamlessly integrates Piecewise Linear…

Fluid Dynamics · Physics 2024-02-09 Dezhi Dai , Haomin Yuan , Albert Y. Tong , Adrian Tentner

The accurate modeling of topology changes remains a significant challenge in geometric Volume of Fluid (VOF) simulations. When using traditional single-plane reconstruction (PLIC), fluid structures smaller than the mesh size cannot be…

Metric Geometry · Mathematics 2026-03-30 Andrew Cahaly , Valentin Wasquel , Zonghao Zou , Olivier Desjardins , Fabien Evrard

We develop a three-dimensional Eulerian framework to simulate fluid-structure interaction (FSI) problems on a fixed Cartesian grid using the geometric volume-of-fluid (VOF) method. The coupled problem involves incompressible flow and…

Fluid Dynamics · Physics 2025-05-30 Soham Prajapati , Ali Fakhreddine , Krishnan Mahesh

This paper presents an efficient algorithm for the sequential positioning, also called nested dissection, of two planes in an arbitrary polyhedron. Two planar interfaces are positioned such that the first plane truncates a given volume from…

Numerical Analysis · Mathematics 2023-10-10 Johannes Kromer , Johanna Potyka , Kathrin Schulte , Dieter Bothe

We present a numerical method for interface-resolved simulations of evaporating two-fluid flows based on the volume-of-fluid (VoF) method. The method has been implemented in an efficient FFT-based two-fluid Navier-Stokes solver, using an…

Computational Physics · Physics 2020-01-24 Nicolò Scapin , Pedro Costa , Luca Brandt

A wide variety of interface capturing methods have been introduced for simulating two-phase flows throughout the years. However, there is a noticeable dearth of literature focusing on objective comparisons between these methods, especially…

Fluid Dynamics · Physics 2019-10-11 Shahab Mirjalili , Christopher Blake Ivey , Ali Mani

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

To predict liquid-gas two-phase flow phenomena, accurate tracking and prediction of the evolving liquid-gas interface is required. Volume-of-Fluid or VoF method has been used in the literature for computationally modeling of such flows. In…

Fluid Dynamics · Physics 2023-01-05 Sucharitha Rajendran , Raj M Manglik , Milind A Jog

A well-known drawback of the Volume-Of-Fluid (VOF) method is that the breakup of thin liquid films or filaments is mainly caused by numerical aspects rather than by physical ones. The rupture of thin films occurs when their thickness…

Fluid Dynamics · Physics 2022-07-25 Leonardo Chirco , Jacob Maarek , Stephane Popinet , Stephane Zaleski

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

For capillary driven flow the interface curvature is essential in the modelling of surface tension via the imposition of the Young--Laplace jump condition. We show that traditional geometric volume of fluid (VOF) methods, that are based on…

Numerical Analysis · Mathematics 2022-08-31 Ronald A. Remmerswaal , Arthur E. P. Veldman
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