TY - JOUR
T1 - A surface marker algorithm coupled to an area-preserving marker redistribution method for three-dimensional interface tracking
AU - Aulisa, Eugenio
AU - Manservisi, Sandro
AU - Scardovelli, Ruben
PY - 2004/7/1
Y1 - 2004/7/1
N2 - In this work we present a new interface tracking algorithm based on surface markers to reconstruct and advect interfaces in three-dimensional space. The algorithm is coupled to a marker redistribution method, which is area-preserving along the interface. The interface is described by a set of closed lines which define a coarse Lagrangian quadrangular mesh in the fixed computational grid. Fixed markers are located where the lines cross and are maintained during the whole simulation. At each time step the interface is first reconstructed and then all markers are advected by following streamlines. In the reconstruction step, new markers are determined by computing the intersections of the interface lines with the grid cell faces and by adding area conservation markers between fixed and grid intersection markers. Intersection and conservation markers defined at the previous time step are discarded. The method maintains a smooth geometrical description of the interface for both two-dimensional and three-dimensional tests with accurate volume conservation even in very challenging situations where the fluid bodies progressively deform and stretch developing localized regions with very high curvature and thin fluid filaments. The method compares favorably with front capturing methods, such as volume-of-fluid and level set, and other hybrid techniques, such as the particle level set method.
AB - In this work we present a new interface tracking algorithm based on surface markers to reconstruct and advect interfaces in three-dimensional space. The algorithm is coupled to a marker redistribution method, which is area-preserving along the interface. The interface is described by a set of closed lines which define a coarse Lagrangian quadrangular mesh in the fixed computational grid. Fixed markers are located where the lines cross and are maintained during the whole simulation. At each time step the interface is first reconstructed and then all markers are advected by following streamlines. In the reconstruction step, new markers are determined by computing the intersections of the interface lines with the grid cell faces and by adding area conservation markers between fixed and grid intersection markers. Intersection and conservation markers defined at the previous time step are discarded. The method maintains a smooth geometrical description of the interface for both two-dimensional and three-dimensional tests with accurate volume conservation even in very challenging situations where the fluid bodies progressively deform and stretch developing localized regions with very high curvature and thin fluid filaments. The method compares favorably with front capturing methods, such as volume-of-fluid and level set, and other hybrid techniques, such as the particle level set method.
KW - Front tracking and front capturing
KW - Hybrid methods
KW - Interface reconstruction and advection
KW - Multiphase flows
UR - http://www.scopus.com/inward/record.url?scp=3242684912&partnerID=8YFLogxK
U2 - 10.1016/j.jcp.2003.12.009
DO - 10.1016/j.jcp.2003.12.009
M3 - Article
AN - SCOPUS:3242684912
VL - 197
SP - 555
EP - 584
JO - Journal of Computational Physics
JF - Journal of Computational Physics
SN - 0021-9991
IS - 2
ER -