A novel coupled level set and volume of fluid method for sharp interface capturing on 3D tetrahedral grids

Xin Lv, Qingping Zou, Yong Zhao, Dominic Reeve

Research output: Contribution to journalArticle

49 Citations (Scopus)

Abstract

We present a new three-dimensional hybrid level set (LS) and volume of fluid (VOF) method for free surface flow simulations on tetrahedral grids. At each time step, we evolve both the level set function and the volume fraction. The level set function is evolved by solving the level set advection equation using a second-order characteristic based finite volume method. The volume fraction advection is performed using a bounded compressive normalized variable diagram (NVD) based scheme. The interface is reconstructed based on both the level set and the volume fraction information. The novelty of the method lies in that we use an analytic method for finding the intercepts on tetrahedral grids, which makes interface reconstruction efficient and conserves volume of fluid exactly. Furthermore, the advection of volume fraction makes use of the NVD concept and switches between different high resolution differencing schemes to yield a bounded scalar field, and to preserve both smoothness and sharp definition of the interface. The method is coupled to a well validated finite volume based Navier-Stokes incompressible flow solver. The code validation shows that our method can be employed to resolve complex interface changes efficiently and accurately. In addition, the centroid and intercept data available as a by-product of the proposed interface reconstruction scheme can be used directly in near-interface sub-grid models in large eddy simulation. Crown

Original languageEnglish
Pages (from-to)2573-2604
Number of pages32
JournalJournal of Computational Physics
Volume229
Issue number7
DOIs
Publication statusPublished - Apr 1 2010
Externally publishedYes

Fingerprint

Volume fraction
Advection
grids
Fluids
fluids
advection
Incompressible flow
Flow simulation
Finite volume method
Large eddy simulation
diagrams
Byproducts
incompressible flow
finite volume method
Switches
large eddy simulation
centroids
switches
scalars
high resolution

Keywords

  • Finite volume method
  • Free surface
  • Level set
  • Tetrahedral grid
  • VOF

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy (miscellaneous)

Cite this

A novel coupled level set and volume of fluid method for sharp interface capturing on 3D tetrahedral grids. / Lv, Xin; Zou, Qingping; Zhao, Yong; Reeve, Dominic.

In: Journal of Computational Physics, Vol. 229, No. 7, 01.04.2010, p. 2573-2604.

Research output: Contribution to journalArticle

@article{ccead952b693448db0ba70d2ee6ae706,
title = "A novel coupled level set and volume of fluid method for sharp interface capturing on 3D tetrahedral grids",
abstract = "We present a new three-dimensional hybrid level set (LS) and volume of fluid (VOF) method for free surface flow simulations on tetrahedral grids. At each time step, we evolve both the level set function and the volume fraction. The level set function is evolved by solving the level set advection equation using a second-order characteristic based finite volume method. The volume fraction advection is performed using a bounded compressive normalized variable diagram (NVD) based scheme. The interface is reconstructed based on both the level set and the volume fraction information. The novelty of the method lies in that we use an analytic method for finding the intercepts on tetrahedral grids, which makes interface reconstruction efficient and conserves volume of fluid exactly. Furthermore, the advection of volume fraction makes use of the NVD concept and switches between different high resolution differencing schemes to yield a bounded scalar field, and to preserve both smoothness and sharp definition of the interface. The method is coupled to a well validated finite volume based Navier-Stokes incompressible flow solver. The code validation shows that our method can be employed to resolve complex interface changes efficiently and accurately. In addition, the centroid and intercept data available as a by-product of the proposed interface reconstruction scheme can be used directly in near-interface sub-grid models in large eddy simulation. Crown",
keywords = "Finite volume method, Free surface, Level set, Tetrahedral grid, VOF",
author = "Xin Lv and Qingping Zou and Yong Zhao and Dominic Reeve",
year = "2010",
month = "4",
day = "1",
doi = "10.1016/j.jcp.2009.12.005",
language = "English",
volume = "229",
pages = "2573--2604",
journal = "Journal of Computational Physics",
issn = "0021-9991",
publisher = "Academic Press Inc.",
number = "7",

}

TY - JOUR

T1 - A novel coupled level set and volume of fluid method for sharp interface capturing on 3D tetrahedral grids

AU - Lv, Xin

AU - Zou, Qingping

AU - Zhao, Yong

AU - Reeve, Dominic

PY - 2010/4/1

Y1 - 2010/4/1

N2 - We present a new three-dimensional hybrid level set (LS) and volume of fluid (VOF) method for free surface flow simulations on tetrahedral grids. At each time step, we evolve both the level set function and the volume fraction. The level set function is evolved by solving the level set advection equation using a second-order characteristic based finite volume method. The volume fraction advection is performed using a bounded compressive normalized variable diagram (NVD) based scheme. The interface is reconstructed based on both the level set and the volume fraction information. The novelty of the method lies in that we use an analytic method for finding the intercepts on tetrahedral grids, which makes interface reconstruction efficient and conserves volume of fluid exactly. Furthermore, the advection of volume fraction makes use of the NVD concept and switches between different high resolution differencing schemes to yield a bounded scalar field, and to preserve both smoothness and sharp definition of the interface. The method is coupled to a well validated finite volume based Navier-Stokes incompressible flow solver. The code validation shows that our method can be employed to resolve complex interface changes efficiently and accurately. In addition, the centroid and intercept data available as a by-product of the proposed interface reconstruction scheme can be used directly in near-interface sub-grid models in large eddy simulation. Crown

AB - We present a new three-dimensional hybrid level set (LS) and volume of fluid (VOF) method for free surface flow simulations on tetrahedral grids. At each time step, we evolve both the level set function and the volume fraction. The level set function is evolved by solving the level set advection equation using a second-order characteristic based finite volume method. The volume fraction advection is performed using a bounded compressive normalized variable diagram (NVD) based scheme. The interface is reconstructed based on both the level set and the volume fraction information. The novelty of the method lies in that we use an analytic method for finding the intercepts on tetrahedral grids, which makes interface reconstruction efficient and conserves volume of fluid exactly. Furthermore, the advection of volume fraction makes use of the NVD concept and switches between different high resolution differencing schemes to yield a bounded scalar field, and to preserve both smoothness and sharp definition of the interface. The method is coupled to a well validated finite volume based Navier-Stokes incompressible flow solver. The code validation shows that our method can be employed to resolve complex interface changes efficiently and accurately. In addition, the centroid and intercept data available as a by-product of the proposed interface reconstruction scheme can be used directly in near-interface sub-grid models in large eddy simulation. Crown

KW - Finite volume method

KW - Free surface

KW - Level set

KW - Tetrahedral grid

KW - VOF

UR - http://www.scopus.com/inward/record.url?scp=74449089601&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=74449089601&partnerID=8YFLogxK

U2 - 10.1016/j.jcp.2009.12.005

DO - 10.1016/j.jcp.2009.12.005

M3 - Article

AN - SCOPUS:74449089601

VL - 229

SP - 2573

EP - 2604

JO - Journal of Computational Physics

JF - Journal of Computational Physics

SN - 0021-9991

IS - 7

ER -