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

Sheng Xu

DOI: 10.4208/cicp.090211.220811s

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 two-fluid interfaces. This solver can also be used to solve Poisson equations on irregular domains. 

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@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} }
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 -

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. 

Sheng Xu. (2012). An Iterative Two-Fluid Pressure Solver Based on the Immersed Interface Method. Communications in Computational Physics. 12 (2). 528-543. doi:10.4208/cicp.090211.220811s
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