標題: An immersed boundary method for interfacial flows with insoluble surfactant
作者: Lai, Ming-Chih
Tseng, Yu-Hau
Huang, Huaxiong
應用數學系
Department of Applied Mathematics
關鍵字: immersed boundary method;interfacial flow;Navier-Stokes equations;surfactant
公開日期: 20-七月-2008
摘要: In this paper, an immersed boundary method is proposed for the simulation of two-dimensional fluid interfaces with insoluble surfactant. The governing equations are written in a usual immersed boundary formulation where a mixture of Eulerian flow and Lagrangian interfacial variables are used and the linkage between these two set of variables is provided by the Dirac delta function. The immersed boundary force comes from the surface tension which is affected by the distribution of surfactant along the interface. By tracking the interface in a Lagrangian manner, a simplified surfactant transport equation is derived. The numerical method involves solving the Navier-Stokes equations on a staggered grid by a semi-implicit pressure increment projection method where the immersed interfacial forces are calculated at the beginning of each time step. Once the velocity value and interfacial configurations are obtained, surfactant concentration is updated using the transport equation. In this paper, a new symmetric discretization for the surfactant concentration equation is proposed that ensures the surfactant mass conservation numerically. The effect of surfactant on drop deformation in a shear flow is investigated in detail. (c) 2008 Elsevier Inc. All rights reserved.
URI: http://dx.doi.org/10.1016/j.jcp.2008.04.014
http://hdl.handle.net/11536/8563
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2008.04.014
期刊: JOURNAL OF COMPUTATIONAL PHYSICS
Volume: 227
Issue: 15
起始頁: 7279
結束頁: 7293
顯示於類別:期刊論文


文件中的檔案:

  1. 000257871400014.pdf