Extension Of The 1-D Characteristic Open
Boundary Conditions To The Diffuse Interface
Model
Author(s)
J. Desmarais & J.Kuerten
Abstract
A novel technique is developed for solving multi-phase flows in unbounded
domains using the Diffuse Interface Model (DIM) in 1-D. It extends open
boundary conditions originally designed for the Navier–Stokes equations. The
non-dimensional formulation of the DIM makes it possible to generalize the
approach to any fluid. The equations support a steady state whose analytical
approximation close to the critical point depends only on temperature. This feature
enables the use of detectors at the boundaries switching between conventional
boundary conditions in bulk phases and a multi-phase strategy in interfacial
regions. The technique is applied to fluids experiencing a phase transition where
the interface between the phases travels through one of the boundaries. When
the interface crossing the boundary is fully developed, the technique greatly
improves results relative to cases where conventional boundary conditions can be
used. Limitations appear when the interface crossing the boundary is not a stable
equilibrium between the two phases: the terms responsible for creating the true
balance between the phases perturb the interior solution. The approach can be
extended to multiple spatial dimensions.
Keywords: multi-phase flows, open boundary conditions, diffuse interface model,
characteristics, interface-boundary interaction, Navier–Stokes.
Keywords
Keywords: multi-phase flows, open boundary conditions, diffuse interface model,
characteristics, interface-boundary interaction, Navier–Stokes.
Related Book
Other papers in this volume
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