@article{(Open Science Index):https://publications.waset.org/pdf/10008895,
	  title     = {A Semi-Implicit Phase Field Model for Droplet Evolution},
	  author    = {M. H. Kazemi and  D. Salac},
	  country	= {},
	  institution	= {},
	  abstract     = {A semi-implicit phase field method for droplet evolution is proposed. Using the phase field Cahn-Hilliard equation, we are able to track the interface in multiphase flow. The idea of a semi-implicit finite difference scheme is reviewed and employed to solve two nonlinear equations, including the Navier-Stokes and the Cahn-Hilliard equations. The use of a semi-implicit method allows us to have larger time steps compared to explicit schemes. The governing equations are coupled and then solved by a GMRES solver (generalized minimal residual method) using modified Gram-Schmidt orthogonalization. To show the validity of the method, we apply the method to the simulation of a rising droplet, a leaky dielectric drop and the coalescence of drops. The numerical solutions to the phase field model match well with existing solutions over a defined range of variables.
},
	    journal   = {International Journal of Mechanical and Mechatronics Engineering},
	  volume    = {10},
	  number    = {6},
	  year      = {2016},
	  pages     = {1168 - 1174},
	  ee        = {https://publications.waset.org/pdf/10008895},
	  url   	= {https://publications.waset.org/vol/114},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 114, 2016},
	}