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A Numerical Method for Two-Phase Flow Consisting of Separate Compressible and Incompressible Regions

✍ Scribed by Rachel Caiden; Ronald P. Fedkiw; Chris Anderson

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
911 KB
Volume
166
Category
Article
ISSN
0021-9991

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✦ Synopsis

We propose a numerical method for modeling two-phase flow consisting of separate compressible and incompressible regions. This is of interest, for example, when the combustion of fuel droplets or the shock-induced mixing of liquids is numerically modeled. We use the level set method to track the interface between the compressible and incompressible regions, as well as the Ghost Fluid Method (GFM) to create accurate discretizations across the interface. The GFM is particularly effective here since the equations differ in both number and type across the interface. The numerical method is presented in two spatial dimensions with numerical examples in both one and two spatial dimensions, while three-dimensional extensions are straightforward.

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## Abstract Computation of a moving interface by the level‐set (LS) method typically requires reinitialization of LS function. An inaccurate execution of reinitialization results in incorrect free surface capturing and thus errors such as mass gain/loss so that an accurate and robust reinitializati