Numerical simulations of phase separation dynamics in a water-oil-surfactant system |
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Authors: | Kim Junseok |
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Institution: | Department of Mathematics, Dongguk University, Seoul 100-715, Republic of Korea. cfdkim@dongguk.edu |
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Abstract: | We have studied numerically the dynamics of the microphase separation of a water-oil-surfactant system. We developed an efficient and accurate numerical method for solving the two-dimensional time-dependent Ginzburg-Landau model with two order parameters. The numerical method is based on a conservative, second-order accurate, and implicit finite-difference scheme. The nonlinear discrete equations were solved by using a nonlinear multigrid method. There is, at most, a first-order time step constraint for stability. We demonstrated numerically the convergence of our scheme and presented simulations of phase separation to show the efficiency and accuracy of the new algorithm. |
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