Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995a%26as..109..109g&link_type=abstract
Astronomy and Astrophysics Suppl. 109, 109-123 (1995)
Astronomy and Astrophysics
Astrophysics
33
Methods: Numerical, Planets: Individual, Jupiter, Neptune, Saturn, Uranus
Scientific paper
The aim of this paper is to describe the numerical techniques used in the code CEPAM, developed to study the internal structure of giant planets. The main originality of CEPAM is the solution of the two point boundary value problem of the quasi-static equilibrium by a collocation implicit method based on piecewise polynomial approximations projected on a B-spline basis. An automatic mesh refinement is designed to adjust the location of the grid points depending on the variation in the unknowns. Moreover, a grid point can be adjusted at any determined position. This allows an exact treatment of the problem, even when the first derivatives of the integration variables (M, R, P, T, L) are discontinuous. A robust optimization method allows the calculation of models matching the observed equatorial radius and gravitational moments. The numerical accuracy of the models calculated is found to be satisfactory even with a small number of mesh points (the relative accuracy is better than 10^-5^ on all the variables with 100 mesh points). The whole precision of models of giant planets is limited by the accuracy of physical data.
Guillot Tristan
Morel Pascal
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