TY - JOUR
T1 - An Iterative Two-Fluid Pressure Solver Based on the Immersed Interface Method
AU - Sheng Xu
JO - Communications in Computational Physics
VL - 2
SP - 528
EP - 543
PY - 2012
DA - 2012/12
SN - 12
DO - http://doi.org/10.4208/cicp.090211.220811s
UR - https://global-sci.org/intro/article_detail/cicp/7303.html
KW - 
AB - <p style="text-align: justify;">An iterative solver based on the immersed interface method is proposed to solve the pressure in a two-fluid flow on a Cartesian grid with second-order accuracy in the infinity norm. The iteration is constructed by introducing an unsteady term in the pressure Poisson equation. In each iteration step, a Helmholtz equation is solved on the Cartesian grid using FFT. The combination of the iteration and the immersed interface method enables the solver to handle various jump conditions across two-fluid interfaces. This solver can also be used to solve Poisson equations on irregular domains.&nbsp;</p>