A finite difference level set-projection method on rectangular grid is developed for piezoelectric ink jet simulation. The model is based on the Navier-Stokes equations for incompressible two-phase flows in the presence of surface tension and density jump across the interface separating ink and air, coupled to an electric circuit model which describes the driving mechanism behind the process, and a macroscopic contact model which describes the air-ink-wall dynamics. We simulate the axisymmetric flow using a combination of second order projection methods to solve the fluid equations and level set methods to track the air/ink interface. The numerical method can be used to analyze the motion of the interface, breakoff and formation of satellites, and effect of nozzle geometry on droplet size and motion. We focus on close comparison of our numerical ink jet simulation with experimental data
Jiun-Der Yu 
1
;
SHINRI SAKAI 
2
;
James A. Sethian 
3
1
Epson Research and Development, Inc., Palo Alto, United States
2
Seiko Epson Corporation, Nagano, Japan
3
University of California, Berkeley, USA
Jiun-Der Yu; SHINRI SAKAI; James A. Sethian. A coupled level set projection method applied to ink jet simulation. Interfaces and free boundaries, Tome 5 (2003) no. 4, pp. 459-482. doi: 10.4171/ifb/87
@article{10_4171_ifb_87,
author = {Jiun-Der Yu and SHINRI SAKAI and James A. Sethian},
title = {A coupled level set projection method applied to ink jet simulation},
journal = {Interfaces and free boundaries},
pages = {459--482},
year = {2003},
volume = {5},
number = {4},
doi = {10.4171/ifb/87},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/87/}
}
TY - JOUR
AU - Jiun-Der Yu
AU - SHINRI SAKAI
AU - James A. Sethian
TI - A coupled level set projection method applied to ink jet simulation
JO - Interfaces and free boundaries
PY - 2003
SP - 459
EP - 482
VL - 5
IS - 4
UR - http://geodesic.mathdoc.fr/articles/10.4171/ifb/87/
DO - 10.4171/ifb/87
ID - 10_4171_ifb_87
ER -
%0 Journal Article
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%A SHINRI SAKAI
%A James A. Sethian
%T A coupled level set projection method applied to ink jet simulation
%J Interfaces and free boundaries
%D 2003
%P 459-482
%V 5
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/87/
%R 10.4171/ifb/87
%F 10_4171_ifb_87