TY - JOUR
T1 - Simulating the Axisymmetric Interfacial Flows with Insoluble Surfactant by Immersed Boundary Method
AU - Lai , M.-C.
AU - Huang , C.-Y.
AU - Huang , Y.-M.
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 105
EP - 117
PY - 2011
DA - 2011/08
SN - 8
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/676.html
KW - Immersed boundary method, axisymmetric interfacial flow, Navier-Stokes equations, surfactant.
AB - <p style="text-align: justify;">In this paper, we extend our previous work on the two-dimensional
immersed boundary method for interfacial flows with insoluble surfactant to
the case of three-dimensional axisymmetric interfacial flows. Although the key
components of the scheme are similar in spirit to the two-dimensional case,
there are two differences introduced in the present work. Firstly, the governing
equations are written in an immersed boundary formulation using the axisymmetric
cylindrical coordinates. Secondly, we introduce an artificial tangential
velocity to the Lagrangian markers so that the uniform distribution of markers
along the interface can be achieved and a modified surfactant concentration
equation is derived as well. The numerical scheme still preserves the total mass
of surfactant along the interface. Numerical convergence of the present scheme
has been checked, and several tests for a drop in extensional flows have been
investigated in detail.</p>