Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Manifold death: a Volume of Fluid implementation of controlled
  topological changes in thin sheets by the signature method   A well-known drawback of the Volume-Of-Fluid (VOF) method is that the breakup
of thin liquid films or filaments is mainly caused by numerical aspects rather
than by physical ones. The rupture of thin films occurs when their thickness
reaches the order of the grid size and by refining the grid the breakup events
are delayed. When thin filaments rupture, many droplets are generated due to
the mass conserving properties of VOF. Thus, the numerical character of the
breakup does not allow obtaining the desired convergence of the droplet size
distribution under grid refinement. In this work, we present a novel algorithm
to detect and perforate thin structures. First, thin films or ligaments are
identified by taking quadratic moments of an indicator obtained from the volume
fraction. A multiscale approach allows us to choose the critical film thickness
independently of the mesh resolution. Then, the breakup is induced by making
holes in the films before their thickness reaches the grid size. We show that
the method improves the convergence upon grid refinement of the droplets size
distribution and of enstrophy.

12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
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The categories of this paper are: adap-org