Domingo Garcia-Senz, Ruben M. Cabezon, Jose Antonio Escartin
In this paper we develop and check a fully conservative SPH scheme based on a
tensor formulation which can be applied to simulate astrophysical systems. In
the proposed scheme derivatives are calculated from an integral expression
which leads to a tensor, rather than vectorial, estimation of gradients and
reduces to the standard formulation in the continuum limit. The new formulation
improves the interpolation of physical magnitudes, leading to a set of
conservative equations which looks similar to those of standard SPH. The
resulting scheme was checked using a variety of well known tests, all of them
simulated in two dimensions. An application of the proposed tensor method to
astrophysics was also discussed by simulating the stability of a sun-like
polytrope calculated in three dimensions.
View original:
http://arxiv.org/abs/1111.3261
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