@Article{CiCP-12-528, author = {Sheng Xu}, title = {An Iterative Two-Fluid Pressure Solver Based on the Immersed Interface Method}, journal = {Communications in Computational Physics}, year = {2012}, volume = {12}, number = {2}, pages = {528--543}, abstract = {
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.
}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.090211.220811s}, url = {http://global-sci.org/intro/article_detail/cicp/7303.html} }