Removing the Stiffness from Interfacial Flows with Surface Tension (2000)
T. Y. Hou, J. S. Lowengrub, M. J. Shelley
A new formulation and new methods are presented for computing the motion of fluid interfaces with surface tension in two-dimensional, irrotational and incompressible fluids. Through the Laplace-Young...
Boundary Integral Methods for Multicomponent Fluids and Multiphase Materials (2000)
T. Y. Hou, J. S. Lowengrub, M. J. Shelley
In this paper, we present a brief review of the application of boundary integral methods in two dimensions to multi-component fluid flows and multi-phase problems in materials science. We focus on...
Modelling Pinchoff and Reconnection in a Hele-Shaw Cell I: The Models and their Calibration (2000)
Hyeong-gi Lee, J. S. Lowengrub, J. Goodman
This is the first paper in a two-part series in which we analyze two model systems to study pinchoff and reconnection in binary fluid flow in a Hele-Shaw cell. The systems stem from a simplification...
Hyeong-gi Lee, J. S. Lowengrub, J. Goodman
This is the second paper in a two part series in which we analyze two diffuse interface models to study pinchoff and reconnection in binary fluid flow in a Hele-Shaw cell. Diffusion between the...
Boundary Integral Methods for Multicomponent Fluids and Multiphase Materials (2000)
T. Y. Hou, J. S. Lowengrub, M. J. Shelley
In this paper, we present a brief review of the application of boundary integral methods in two dimensions to multi-component fluid flows and multi-phase problems in materials science. We focus on...