An efficient front-tracking solver for thermocapillary migration simulations

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 (...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 1053; no. 1; pp. 12025 - 12034
Main Authors Yin, Zhaohua, Li, Qiaohong
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.07.2018
Subjects
Elliptic functions
Fast Fourier transformations
Fluid flow
Fourier transforms
Iterative methods
Partial differential equations
Physics
Poisson equation
Reynolds number
Simulation
Thermocapillary migration
Tracking
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Summary: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.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1053/1/012025