Abstract
An efficient numerical scheme with the front-tracking strategy is presented to investigate the thermocapillary migration of drops. The speed bottleneck of current simulations, especially when the Marangoni number (Ma) is large, is caused by the non-separable elliptic partial differential equations (PDE). In this paper, Fast Fourier Transform is adopted to solve the standard Poisson equation (Tri-FFT), and the non-separable elliptic PDE is solved by the iterative usage of Tri-FFT with high efficiency. In general, the computational cost of the whole system is very low with a hybrid package of Tri-FFT and the Successive Over-Relaxation methods. Finally, the impacts of Ma and Reynolds numbers on thermocapillary migration simulations when Ma>100 are studied.
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