標題: | An Immersed Boundary Method for Simulating Interfacial Flows with Insoluble Surfactant in Three Dimensions |
作者: | Seol, Yunchang Hsu, Shih-Hsuan Lai, Ming-Chih 應用數學系 Department of Applied Mathematics |
關鍵字: | Insoluble surfactant;a conservative scheme;mesh control;interfacial flow;Navier-Stokes flow;immersed boundary method |
公開日期: | 1-三月-2018 |
摘要: | In this paper, an immersed boundary (IB) method for simulating the interfacial flows with insoluble surfactant in three dimensions is developed. We consider a doubly periodic interface separating two fluids where the surfactant exists only along the evolving interface. An equi-arclength parametrization is introduced in order to track the moving interface and maintain good Lagrangian meshes, so stable computations can be performed without remeshing. This surface mesh-control technique is done by adding two artificial tangential velocity components into the Lagrangian marker velocity so that the Lagrangian markers can be equi-arclength distributed during the time evolution. As a result, the surfactant equation on the interface must be modified based on the new parametrization. A conservative scheme for solving the modified surfactant equation has been developed and proved to satisfy the total surfactant mass exactly in discrete level. A series of numerical experiments consisting of the validation of Lagrangian mesh control technique, the convergence study, the study of self-healing dynamics, and the simulations of two-layer fluids under Couette flow have been conducted to test our present numerical scheme. |
URI: | http://dx.doi.org/10.4208/cicp.OA-2017-0090 http://hdl.handle.net/11536/144607 |
ISSN: | 1815-2406 |
DOI: | 10.4208/cicp.OA-2017-0090 |
期刊: | COMMUNICATIONS IN COMPUTATIONAL PHYSICS |
Volume: | 23 |
起始頁: | 640 |
結束頁: | 664 |
顯示於類別: | 期刊論文 |