Volume 12, Issue 2
An Iterative Two-Fluid Pressure Solver Based on the Immersed Interface Method

Sheng Xu

Commun. Comput. Phys., 12 (2012), pp. 528-543.

Published online: 2012-12

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  • 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 twofluid interfaces. This solver can also be used to solve Poisson equations on irregular domains. 

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