The immersed boundary method: Application to two-phase immiscible flows

Avihai Spizzichino, Sharone Goldring, Yuri Feldman

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

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.

Original languageEnglish
Pages (from-to)107-134
Number of pages28
JournalCommunications in Computational Physics
Volume25
Issue number1
DOIs
StatePublished - 1 Jan 2019

Keywords

  • Distributed Lagrange multiplier
  • Immersed boundary method
  • Two-phase immiscible flow

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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