TY - JOUR
T1 - Interface reconstruction with least-squares fit and split advection in three-dimensional Cartesian geometry
AU - Aulisa, E.
AU - Manservisi, S.
AU - Scardovelli, R.
AU - Zaleski, S.
PY - 2007/8/10
Y1 - 2007/8/10
N2 - In this paper we present and analyze different volume-of-fluid (VOF) reconstruction and advection algorithms that approximate the interface separating two immiscible fluids in the three-dimensional space. The paper describes the improvement of the reconstruction when a least-square fit algorithm, which minimizes a distance functional, is applied. Its performance is tested for several smooth surfaces against other simple reconstruction methods. Then Eulerian, Lagrangian and mixed split advection schemes are presented and analyzed. In particular, one advection method is discussed that conserves mass exactly for a divergence-free velocity field, thus allowing computations to machine precision.
AB - In this paper we present and analyze different volume-of-fluid (VOF) reconstruction and advection algorithms that approximate the interface separating two immiscible fluids in the three-dimensional space. The paper describes the improvement of the reconstruction when a least-square fit algorithm, which minimizes a distance functional, is applied. Its performance is tested for several smooth surfaces against other simple reconstruction methods. Then Eulerian, Lagrangian and mixed split advection schemes are presented and analyzed. In particular, one advection method is discussed that conserves mass exactly for a divergence-free velocity field, thus allowing computations to machine precision.
KW - Incompressible flow
KW - Interface reconstruction
KW - Lagrangian and Eulerian advection
KW - Mass conservation
KW - VOF/PLIC methods
UR - http://www.scopus.com/inward/record.url?scp=34547533521&partnerID=8YFLogxK
U2 - 10.1016/j.jcp.2007.03.015
DO - 10.1016/j.jcp.2007.03.015
M3 - Article
AN - SCOPUS:34547533521
SN - 0021-9991
VL - 225
SP - 2301
EP - 2319
JO - Journal of Computational Physics
JF - Journal of Computational Physics
IS - 2
ER -