- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:02
Interfaces and Free Boundaries
Interfaces Free Bound.
IFB
1463-9963
1463-9971
Partial differential equations
Numerical analysis
Fluid mechanics
Biology and other natural sciences
10.4171/IFB
http://www.ems-ph.org/doi/10.4171/IFB
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
5
2003
4
A coupled level set projection method applied to ink jet simulation
Jiun-Der
Yu
Epson Research and Development, Inc., PALO ALTO, UNITED STATES
SHINRI
SAKAI
SEIKO EPSON CORPORATION, NAGANO-KEN, JAPAN
James
Sethian
University of California, BERKELEY, UNITED STATES
ink jet simulation; level set-projection method; Navier-Stokes equations
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
Partial differential equations
Numerical analysis
Fluid mechanics
Biology and other natural sciences
459
482
10.4171/IFB/87
http://www.ems-ph.org/doi/10.4171/IFB/87