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A computational method for sharp interface advection.

Johan Roenby1, Henrik Bredmose2, Hrvoje Jasak3

  • 1DHI, Department of Ports and Offshore Technology , Agern Allé 5, 2970 Hørsholm, Denmark.

Royal Society Open Science
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Summary
This summary is machine-generated.

We developed isoAdvector, a new numerical method for accurately tracking fluid interfaces across computational meshes. This volume of fluid (VOF) based approach ensures precise surface advection and conservation for complex simulations.

Keywords:
OpenFOAM®interfacial flowsisoAdvectorunstructured meshesvolume of fluid method

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Area of Science:

  • Computational fluid dynamics
  • Numerical analysis
  • Interface tracking

Background:

  • Accurate simulation of interfaces between immiscible fluids is crucial in many scientific and engineering fields.
  • Existing methods for passive advection of surfaces across computational meshes face challenges in accuracy and conservation, especially on general meshes.

Purpose of the Study:

  • To develop a novel, accurate, and efficient numerical method for passive advection of surfaces, specifically fluid interfaces, across arbitrary polyhedral computational meshes.
  • To improve volume conservation and surface sharpness in interface tracking simulations.

Main Methods:

  • The isoAdvector method utilizes a geometric surface reconstruction based on the isosurface concept to model the interface within cells.
  • It calculates the volume of fluid transported across mesh faces by modeling the motion of the face-interface intersection line.
  • The method is based on the Volume of Fluid (VOF) principle.

Main Results:

  • The isoAdvector method demonstrated highly satisfactory results in terms of volume conservation, boundedness, and surface sharpness.
  • Testing on 2D and 3D interface advection problems across structured and unstructured meshes confirmed the method's efficiency.
  • The numerical method achieved accurate estimates for fluid volume transport across mesh faces.

Conclusions:

  • The isoAdvector method provides a robust and accurate solution for passive surface advection problems.
  • Its implementation as an open-source OpenFOAM extension facilitates its application in diverse computational fluid dynamics simulations.
  • The method offers significant improvements in simulating fluid interfaces compared to existing techniques.