TY - JOUR
T1 - The Immersed Boundary Method: Application to Two-Phase Immiscible Flows
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 - <p style="text-align: justify;">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.</p>