# A computational method for sharp interface advection

@article{Roenby2016ACM, title={A computational method for sharp interface advection}, author={Johan Roenby and Henrik Bredmose and Hrvoje Jasak}, journal={Royal Society Open Science}, year={2016}, volume={3} }

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 arbitrary polyhedral cells. The algorithm is based on the volume of fluid (VOF) idea of calculating the volume of one of the fluids transported across the mesh faces during a time step. The novelty of the isoAdvector concept consists of two parts. First, we…

## Figures and Tables from this paper

## 181 Citations

An improved scheme for the interface reconstruction and curvature approximation for flow simulations of two immiscible fluids

- EngineeringInternational Journal of Multiphase Flow
- 2021

A coupled level set and volume of fluid method with a re-initialisation step suitable for unstructured meshes

- Computer ScienceJ. Comput. Phys.
- 2020

A New Volume-Of-Fluid Method in Openfoam

- Computer Science
- 2017

It is cautiously concluded that isoAdvector is a viable alternative to MULES when set up correctly, especially when interface sharpness, interface smoothness and calculation times are important, and there is, however, still potential for improvement in the coupling of isoAd vector with interFoam’s PISO based pressure-velocity solution algorithm.

Accurate and efficient surface reconstruction from volume fraction data on general meshes

- Computer ScienceJ. Comput. Phys.
- 2019

A Sharp Free Surface Finite Volume Method Applied to Gravity Wave Flows

- Engineering
- 2018

This paper presents a sharp free surface method for fully nonlinear flow of two immiscible phases for wave propagation problems in the Finite Volume framework. The method resolves a sharp interface…

Second-order accurate normal reconstruction from volume fractions on unstructured meshes with arbitrary polyhedral cells

- MathematicsArXiv
- 2021

This paper introduces a novel method for the efficient second-order accurate computation of normal fields from volume fractions on unstructured polyhedral meshes, and considerably simplifies the numerical procedure for applications in three spatial dimensions while demonstrating an inherent ability to robustly deal with unstructuring meshes.

gVOF: An open-source package for unsplit geometric volume of fluid methods on arbitrary grids

- Computer ScienceComput. Phys. Commun.
- 2022

Using the isoAdvector geometric VoF method for interfacial flows through porous media

- EngineeringThe 9th Conference on Computational Methods in Marine Engineering (Marine 2021)
- 2022

We consider the interfacial ﬂow in and around porous structures in coastal and marine engineering. During recent years, interfacial ﬂow through porous media has been repeatedly simulated with…

## References

SHOWING 1-10 OF 38 REFERENCES

A Method for Capturing Sharp Fluid Interfaces on Arbitrary Meshes

- Computer Science
- 1999

The novelty of the method lies in the adaptive combination of high resolution discretisation schemes which ensure the preservation of the sharpness and shape of the interface while retaining boundedness of the field.

voFoam - A geometrical Volume of Fluid algorithm on arbitrary unstructured meshes with local dynamic adaptive mesh refinement using OpenFOAM

- Computer Science
- 2013

Results for the first time show a VoF algorithm on unstructured meshes to be robust, mass conservative and boundedness-preserving for complex time-varying velocity elds, following the established practice in OpenFOAM.

VOLUME‐TRACKING METHODS FOR INTERFACIAL FLOW CALCULATIONS

- Computer Science
- 1997

A new algorithm for volume tracking which is based on the concept of flux-corrected transport (FCT) is introduced, applicable to incompressible 2D flow simulations on finite volume and difference meshes and can be extended to 3D and orthogonal curvilinear meshes in a straightforward manner.

An efficient and accurate algebraic interface capturing method for unstructured grids in 2 and 3 dimensions: The THINC method with quadratic surface representation

- Computer Science
- 2014

An efficient and accurate volume of fluid (VOF) type scheme to compute moving interfaces on unstructured grids with arbitrary quadrilateral mesh elements in 2D and hexahedral elements in 3D is presented.

A new volume of fluid method in three dimensions—Part I: Multidimensional advection method with face‐matched flux polyhedra

- Environmental Science
- 2008

A multidimensional advection scheme in 3D based on the use of face‐matched flux polyhedra to integrate the volume fraction evolution equation is proposed. The algorithm tends to reduce the formation…

A Coupled Level Set-Moment of Fluid Method for Incompressible Two-Phase Flows

- Computer ScienceJ. Sci. Comput.
- 2013

The algorithm of Raessi and Pitsch is modified from a staggered grid method to a collocated grid method and their treatment for the nonlinear terms with the variable density, collocated, pressure projection algorithm developed by Kwatra et al.

Multi-material interface reconstruction on generalized polyhedral meshes

- Computer ScienceJ. Comput. Phys.
- 2007

A Volume-Tracking Method for Incompressible Multifluid Flows with Large Density Variations

- Physics
- 1998

A numerical technique (FGVT) for solving the time-dependent incompressible Navier-Stokes equations in fluid flows with large density variations is presented for staggered grids. Mass conservation is…

Reconstructing Volume Tracking

- Computer Science
- 1998

The method is tested by testing its ability to track interfaces through large, controlled topology changes, whereby an initially simple interface configuration is subjected to vortical flows, and numerical results for these strenuous test problems provide evidence for the algorithm's improved solution quality and accuracy.