TY - JOUR
T1 - A Spectrally Accurate Boundary Integral Method for Interfacial Velocities in Two-Dimensional Stokes Flow
JO - Communications in Computational Physics
VL - 4
SP - 933
EP - 946
PY - 2010
DA - 2010/08
SN - 8
DO - http://doi.org/10.4208/cicp.190909.090310a
UR - https://global-sci.org/intro/article_detail/cicp/7603.html
KW - 
AB - <p style="text-align: justify;">We present a new numerical method for solving two-dimensional Stokes
flow with deformable interfaces such as dynamics of suspended drops or bubbles.
The method is based on a boundary integral formulation for the interfacial velocity
and is spectrally accurate in space. We analyze the singular behavior of the integrals
(single-layer and double-layer integrals) appearing in the equations. The interfaces are
formulated in the tangent angle and arc-length coordinates and, to reduce the stiffness
of the evolution equation, the marker points are evenly distributed in arc-length by
choosing a proper tangential velocity along the interfaces. Examples of Stokes flow
with bubbles are provided to demonstrate the accuracy and effectiveness of the numerical
method.</p>