A coupled level set projection method applied to ink jet simulation
A coupled level set projection method applied to ink jet simulation
复制标题
耦合水平集投影法应用于喷墨模拟
DOI：
10.4171/ifb/87
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发表时间：
2003
影响因子：
1
通讯作者：
J. Sethian
中科院分区：
文献类型：
--
作者：
Jiun;Shinri Sakai;J. Sethian
提出了矩形网格上有限差分水平集投影法用于压电喷墨模拟。该模型是基于不可压缩的两相流的Navier-Stokes方程的存在下，表面张力和密度跳跃的界面分离的油墨和空气，耦合到电路模型，它描述了背后的驱动机制的过程，和一个宏观接触模型，描述了空气-油墨-壁动力学。我们使用二阶投影方法来求解流体方程和水平集方法来跟踪空气/墨水界面的组合来模拟轴对称流动。该数值方法可用于分析界面的运动、卫星的断裂和形成以及喷嘴几何形状对液滴尺寸和运动的影响。我们专注于我们的数值喷墨模拟与实验数据的密切比较。通讯作者。作者得到了美国能源部能源研究办公室应用数学科学子项目（合同号DE-AC 03 - 76 SF 00098）和国家科学基金会数学科学部的部分支持。
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. The corresponding author. This author was supported in part by the Applied Mathematical Sciences subprogram of the Office of Energy Research, U.S. Department of Energy, under Contract Number DE-AC03-76SF00098, and the Division of Mathematical Sciences of the National Science Foundation.