Tuesday, November 15, 2011

1111.3261 (Domingo Garcia-Senz et al.)

Improving the Smoothed Particle Hydrodynamics with an integral approach to calculate gradients    [PDF]

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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