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

Published online by Cambridge University Press:  20 August 2015

Sheng Xu*
Affiliation:
Department of Mathematics, Southern Methodist University, Dallas, TX 75275-0156, USA
*Corresponding
*Corresponding author.Email:sxu@smu.edu
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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 two-fluid interfaces. This solver can also be used to solve Poisson equations on irregular domains.

Type
Research Article
Copyright
Copyright © Global Science Press Limited 2012

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