Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the computation of eigenfrequencies for equilibrium models including
  turbulent pressure   The space-borne missions have provided a wealth of highly accurate data.
However, our inability to properly model the upper-most region of solar-like
stars prevents us from making the best of these observations. This problem is
called "surface effect" and a key ingredient to solve it is turbulent pressure
for the computation of both the equilibrium models and the oscillations. While
3D hydrodynamic simulations help to include properly the turbulent pressure in
the equilibrium models, the way this surface effect is included in the
computation of stellar oscillations is still subject to uncertainties. We aim
at determining how to properly include the effect of turbulent pressure and its
Lagrangian perturbation in the adiabatic computation of the oscillations. We
also discuss the validity of the gas-gamma model (GGM) and reduced gamma model
(RGM) approximations, which have been used to compute adiabatic oscillations of
equilibrium models including turbulent pressure. We use a patched model of the
Sun with an inner part constructed by a 1D stellar evolution code (CESTAM) and
an outer part by the 3D hydrodynamical code (CO$^5$BOLD). Then, the adiabatic
oscillations are computed using the ADIPLS code for the GGM and RGM and with
the MAD code imposing the adiabatic condition on an existing time-dependent
convection (TDC) formalism. We show that the computation of the oscillations
using the TDC formalism in the adiabatic limit improves significantly the
agreement with the observed frequencies compared to the GGM and RGM. Of the
components of the turbulent pressure perturbation, the perturbation of the
density and advection term is found to contribute most to the frequency shift.
We propose a formalism to evaluate the frequency shift due to the inclusion of
the term with the turbulent pressure perturbation in the variational principle
in order to extrapolate our result to other stars.

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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn