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 language | English |
|---|---|
| Pages (from-to) | 2573-2604 |
| Number of pages | 32 |
| Journal | Journal of Computational Physics |
| Volume | 229 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - Apr 1 2010 |
| Externally published | Yes |
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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 journal › Article
}
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 -