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The Ghost Fluid Method for de agration and detonation discontinuities

Summary: The Ghost Fluid Method for de agration and
detonation discontinuities
Ronald P. Fedkiw
Tariq Aslam y
Shaojie Xu z
October 26, 1998
The level set method for compressible ows 17 is simpleto implement,
especially inthe presence oftopologicalchanges. However, this method
was shown to su er from large spurious oscillations in 13 . In 5 , a
new Ghost Fluid Method GFM was shown to remove these spurious
oscillations by minimizing the numerical smearing in the entropy eld
with the help of an Isobaric Fix 6 technique. This GFM was designed
for traditional contact discontinuities where the interface moves with
the uid velocity only. In this paper, we extend the GFM to multi-
material interfaces where the interface velocity includes a regression
rate due to the presence of chemical reactions converting one material
into another. As a speci c example, we will consider interface models
for de agration and detonations discontinuities similar to the work in
22, 16, 23, 24 . The resulting numerical method is robust and easy to


Source: Aslam, Tariq - Los Alamos National Laboratory


Collections: Physics