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We devise a numerical method for passive advection of a surface, such as the interface between two incompressible fluids, across a computational mesh. The method is called isoAdvector, and is developed for general meshes consisting of…

Fluid Dynamics · Physics 2016-11-29 Johan Roenby , Henrik Bredmose , Hrvoje Jasak

This paper introduces a novel method for the efficient and accurate computation of volume fractions on unstructured polyhedral meshes, where the phase boundary is an orientable hypersurface, implicitly given as the iso-contour of a…

Numerical Analysis · Mathematics 2021-11-19 Johannes Kromer , Dieter Bothe

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

Recently, machine learning has been used to substitute parts of conventional computational fluid dynamics, e.g. the cell-face reconstruction in finite-volume solvers or the curvature computation in the Volume-of-Fluid (VOF) method. The…

Fluid Dynamics · Physics 2022-03-14 Aaron B. Buhendwa , Deniz A. Bezgin , Nikolaus Adams

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

The numerical simulation of wetting and dewetting of geometrically complex surfaces benefits from unstructured numerical methods because they discretize the domain with second-order accuracy. A recently developed unstructured geometric…

Fluid Dynamics · Physics 2025-01-08 Muhammad Hassan Asghar , Mathis Fricke , Dieter Bothe , Tomislav Maric

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

A new parallelized unsplit geometrical Volume of Fluid (VoF) algorithm with support for arbitrary unstructured meshes and dynamic local Adaptive Mesh Refinement (AMR), as well as for two and three dimensional computation is developed. The…

Fluid Dynamics · Physics 2013-05-16 Tomislav Maric , Holger Marschall , Dieter Bothe

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 novel interface reconstruction strategy for volume of fluid (VOF) methods is introduced that represents the liquid-gas interface as two planes that co-exist within a single computational cell. In comparison to the piecewise linear…

Fluid Dynamics · Physics 2024-03-19 Austin Han , Robert Chiodi , Olivier Desjardins

The gVOF package includes a complete and self-contained set of routines for volume of fluid initialization, interface reconstruction and fluid advection, which are used to implement several accurate and efficient geometric volume of fluid…

Computational Physics · Physics 2022-05-25 Joaquín López , Julio Hernández

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

Incremental scene reconstruction is essential to the navigation in robotics. Most of the conventional methods typically make use of either TSDF (truncated signed distance functions) volume or neural networks to implicitly represent the…

Robotics · Computer Science 2024-04-30 Shaofan Liu , Junbo Chen , Jianke Zhu

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

This paper introduces a novel method for the efficient second-order accurate computation of normal fields from volume fractions on unstructured polyhedral meshes. Locally, i.e. in each mesh cell, an averaged normal is reconstructed by…

Numerical Analysis · Mathematics 2023-08-16 Johannes Kromer , Fabio Leotta , Dieter Bothe

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

Geometrical Volume-of-Fluid (VoF) methods mainly support structured meshes, and only a small number of contributions in the scientific literature report results with unstructured meshes and three spatial dimensions. Unstructured meshes are…

Computational Physics · Physics 2024-02-07 Tomislav Maric , Douglas B. Kothe , Dieter Bothe

A straightforward and computationally efficient Consecutive Cubic Spline (CCS) iterative algorithm is proposed for positioning the planar interface of the unstructured geometrical Volume-of-Fluid method in arbitrarily-shaped cells. The CCS…

Computational Physics · Physics 2025-01-08 Tomislav Maric

We present a machine-learning based Volume Of Fluid method to simulate multi-material flows on three-dimensional domains. One of the novelties of the method is that the flux fraction is computed by evaluating a previously trained neural…

Numerical Analysis · Mathematics 2025-07-08 Moreno Pintore , Bruno Després

Reconstructing real-world 3D objects has numerous applications in computer vision, such as virtual reality, video games, and animations. Ideally, 3D reconstruction methods should generate high-fidelity results with 3D consistency in…

Computer Vision and Pattern Recognition · Computer Science 2024-12-02 Jingnan Gao , Zhuo Chen , Yichao Yan , Bowen Pan , Zhe Wang , Jiangjing Lyu , Xiaokang Yang
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