@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}, }