TY - JOUR T1 - An Iterative Two-Fluid Pressure Solver Based on the Immersed Interface Method 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 -

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.