Numerical Simulation for a Droplet Fission Process of Electrowetting on Dielectric Device
Dongdong He 1, Huaxiong Huang 2*, Yongji Tan 31 School of Mathematical Sciences, Fudan University, Shanghai, China; and Department of Mathematics and Statistics, York University, Toronto, Canada.
2 Department of Mathematics and Statistics, York University, Toronto, Canada.
3 School of Mathematical Sciences, Fudan University, Shanghai, China.
Received 3 January 2009; Accepted (in revised version) 25 September 2009
Available online 6 January 2010
Electrowetting has been proposed as a technique for manipulating droplets surrounded by air or oil. In this paper, we discuss the modeling and simulation of the droplet fission process between two parallel plates inside an electrowetting on dielectric (EWOD) device. Since the gap between the plates is small, we use the two-phase Hele-Shaw flow as a model. While there are several high order methods around, such as the immersed interface methods [1, 2], we decide to use two first-order methods for simplicity. A ghost-fluid (GF) method is employed to solve the governing equations and a local level set method is used to track the drop interface. For comparison purposes, the same set of two-phase Hele-Shaw equations are also solved directly using the immersed boundary (IB) method. Numerical results are consistent with experimental observations reported in the literature.AMS subject classifications: 76T99, 65M06
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Key words: Electrowetting, ghost fluid method, Hele-Shaw equations, immersed boundary method, local level set method, microfluidics, moving interface, two-phase flow.
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