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Volume 25, Issue 1
The Immersed Boundary Method: Application to Two-Phase Immiscible Flows

Avihai Spizzichino, Sharone Goldring & Yuri Feldman

DOI: 10.4208/cicp.OA-2018-0018

Commun. Comput. Phys., 25 (2019), pp. 107-134.

Published online: 2018-09

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  • Abstract

In this paper we present an extended formulation of the immersed boundary (IB) method that facilitates simulation of incompressible immiscible two-phase flows. In the developed formulation the pressure field and the surface tension forces associated with interface curvature are implicitly introduced in the form of distributed Lagrange multipliers. The approach provides for impermeability between both phases and exhibits accurate mass conservation without the need for additional correction procedures. Further, we present a grid independence study and extensive verification of the developed method for representative 2D two-phase flows dominated by buoyancy, shear stress, and surface tension forces.

  • Keywords

Immersed boundary method, two-phase immiscible flow, distributed Lagrange multiplier.

  • AMS Subject Headings

76T10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-25-107, author = {Avihai Spizzichino, Sharone Goldring and Yuri Feldman}, title = {The Immersed Boundary Method: Application to Two-Phase Immiscible Flows}, journal = {Communications in Computational Physics}, year = {2018}, volume = {25}, number = {1}, pages = {107--134}, abstract = {

In this paper we present an extended formulation of the immersed boundary (IB) method that facilitates simulation of incompressible immiscible two-phase flows. In the developed formulation the pressure field and the surface tension forces associated with interface curvature are implicitly introduced in the form of distributed Lagrange multipliers. The approach provides for impermeability between both phases and exhibits accurate mass conservation without the need for additional correction procedures. Further, we present a grid independence study and extensive verification of the developed method for representative 2D two-phase flows dominated by buoyancy, shear stress, and surface tension forces.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2018-0018}, url = {http://global-sci.org/intro/article_detail/cicp/12665.html} }
TY - JOUR T1 - The Immersed Boundary Method: Application to Two-Phase Immiscible Flows AU - Avihai Spizzichino, Sharone Goldring & Yuri Feldman JO - Communications in Computational Physics VL - 1 SP - 107 EP - 134 PY - 2018 DA - 2018/09 SN - 25 DO - http://doi.org/10.4208/cicp.OA-2018-0018 UR - https://global-sci.org/intro/article_detail/cicp/12665.html KW - Immersed boundary method, two-phase immiscible flow, distributed Lagrange multiplier. AB -

In this paper we present an extended formulation of the immersed boundary (IB) method that facilitates simulation of incompressible immiscible two-phase flows. In the developed formulation the pressure field and the surface tension forces associated with interface curvature are implicitly introduced in the form of distributed Lagrange multipliers. The approach provides for impermeability between both phases and exhibits accurate mass conservation without the need for additional correction procedures. Further, we present a grid independence study and extensive verification of the developed method for representative 2D two-phase flows dominated by buoyancy, shear stress, and surface tension forces.

Avihai Spizzichino, Sharone Goldring and Yuri Feldman. (2018). The Immersed Boundary Method: Application to Two-Phase Immiscible Flows. Communications in Computational Physics. 25 (1). 107-134. doi:10.4208/cicp.OA-2018-0018
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