1996/11/21 by R. Capuzzo‐Dolcetta, Capuzzo-Dolcetta, R., R. Di Lisio +1
Engineering · #Astrophysics (astro-ph) #FOS: Physical sciences #Fluid Dynamics Simulations and Interactions
paper · pdf · doi:10.48550/arxiv.astro-ph/9611177
openalex publication_date 1996/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss capability of Smooth Particle Hydrodynamics to represent adequately the dynamics of self-gravitating systems, in particular for what regards the quality of approximation of force fields in the motion equations. When cubic spline kernels are used, we find that a good estimate of the pressure field cannot be obtained in non uniform situations using the commonly adopted scheme of adapting the kernel sizes to include a fixed number of neighbours. We find that a fixed number of neighbours gives the best approximation of just the intensity of the force field, while the determination of the direction of the force requires a number of neighbours which strongly depends on the particle position.