Numerical Methods For Problems With Moving
Interfaces And Irregular Geometries
Author(s)
Y. F. Yap & J. C. Chai
Abstract
In this article, we present a unified approach to identify an interface and model
the associated interface conditions. Interface includes but is not limited to (1)
fluid-fluid interface, (2) fluid-solid interface and (3) physical boundaries and/or
internal interfaces. We identify an interface using the distance function. The
continuum surface force model is used to model surface tension forces at fluidfluid
interfaces. This model is then extended to model surface conditions at fluidsolid
interfaces and physical boundaries. Capabilities of the current approach are
demonstrated using a few test cases. Comparisons with available solutions show
that the current approach produces accurate solutions.
Keywords: multiphase flows, particular flows, numerical methods, irregular
geometries, finite-volume method.
1 Introduction
Interfaces are encountered in multiphase flow problems. Multiphase here
includes but is not limited to problems with (1) fluid-fluid interface and (2) fluidsolid
interface. Identification of these types of interfaces using the distance
function has been reported by various researchers [1–7]. Once the interface is
identified using the distance function, various procedures can be used to model
the transport and/or evolution of the interface.
The level-set method [1] has been used to model droplet evolutions [2] and
stratified flows [3–5]. The continuum surface force model [8] was used to model
the surface tension forces at the fluid-fluid interface. We extended the continuum
Keywords
multiphase flows, particular flows, numerical methods, irregular
geometries, finite-volume method
Related Book
Other papers in this volume
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