An Embedded Boundary Method for Two Phase Incompressible Flow
Numerical Analysis
2013-06-12 v2
Abstract
We develop an embedded boundary method (EBM) to solve the two-phase incompressible flow with piecewise constant density. The front tracking method is used to track the interface. The fractional step methods are used to solve the incompressible Navier-Stokes equations while the EBM is used in the projection step to solve an elliptic interface problem for the pressure with a jump equal to the surface tension force across the interface. Several examples are used to verify the accuracy of the method.
Keywords
Cite
@article{arxiv.1304.5514,
title = {An Embedded Boundary Method for Two Phase Incompressible Flow},
author = {Shuqiang Wang and James Glimm and Roman Samulyak and Xiangmin Jiao and Chenzhe Diao},
journal= {arXiv preprint arXiv:1304.5514},
year = {2013}
}