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