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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

Since viscoelastic two-phase flows arise in various industrial and natural processes, developing accurate and efficient software for their detailed numerical simulation is a highly relevant and challenging research task. We present a…

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

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

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

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

Available algorithms for the initialization of volume fractions typically utilize exact functions to model fluid interfaces, or they rely on computationally costly intersections between volume meshes. Here, a new algorithm is proposed that…

Computational Physics · Physics 2024-02-07 Tobias Tolle , Dirk Gründing , Dieter Bothe , Tomislav Marić

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

In spite of considerable progress, computing curvature in Volume of Fluid (VOF) methods continues to be a challenge. The goal is to develop a function or a subroutine that returns the curvature in computational cells containing an interface…

Computational Physics · Physics 2018-11-14 Yinghe Qi , Jiacai Lu , Ruben Scardovelli , Stephane Zaleski , Gretar Tryggvason

Geometric flux-based Volume-of-Fluid (VOF) methods are widely considered consistent in handling two-phase flows with high density ratios. However, although the conservation of mass and momentum is consistent for two-phase incompressible…

Computational Physics · Physics 2025-01-08 Jun Liu , Tobias Tolle , Davide Zuzio , Jean-Luc Estivalezes , Santiago Marquez Damian , Tomislav Maric

We develop a computational framework that leverages the features of sophisticated software tools and numerics to tackle some of the pressing issues in the realm of earth sciences. The algorithms to handle the physics of multiphase flow,…

Computational Engineering, Finance, and Science · Computer Science 2021-02-10 Saumik Dana , Xiaoxi Zhao , Birendra Jha

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

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

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 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

The Volume-of-Fluid (VoF) method for simulating incompressible two-phase flows is widespread in academic and commercial simulation software because of its many advantages: a high degree of volume conservation, applicability to unstructured…

Fluid Dynamics · Physics 2022-12-07 Anja Lippert , Tobias Tolle , Aaron Dörr , Tomislav Maric

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

Simulations involving free surfaces and fluid interfaces are important in many areas of engineering. There is, however, still a need for improved simulation methods. Recently, a new efficient geometric VOF method called isoAdvector for…

Fluid Dynamics · Physics 2019-01-23 Henning Scheufler , Johan Roenby

We develop a framework for constructing mixed multiscale finite volume methods for elliptic equations with multiple scales arising from flows in porous media. Some of the methods developed using the framework are already known…

Numerical Analysis · Mathematics 2012-08-20 Lijian Jiang , Ilya D. Mishev

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

Many problems in engineering, chemistry and physics require the representation of solutions in complex geometries. In the paper we deal with a problem of unstructured mesh generation for the control volume method. We propose an algorithm…

Computational Geometry · Computer Science 2007-05-23 Leszczynski Jacek , Pluta Sebastian
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