On the way of understanding particle-in-cell simulations of gravitational clustering

Details On the way of understanding particle-in-cell simulations of gravitational clustering On the way of understanding particle-in-cell simulations of gravitational clustering

Mar 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985a%26a...144..413b&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 144, no. 2, March 1985, p. 413-426.

Statistics

Computation

42

Computational Astrophysics, Cosmology, Galactic Clusters, Galactic Evolution, Gravitational Collapse, Particle In Cell Technique, Computational Grids, Computerized Simulation, Correlation, Jeans Theory, Perturbation Theory, Radial Velocity, Spatial Distribution, Statistical Analysis

Scientific paper

A two-dimensional particle-in-cell (PIC) code was developed to address the problem of collisionless gravitational clustering. Owing to the unmatched resolution obtained by using a 512-squared grid, a clear assessment was made of the role of the two scales present in the simulations, the Jeans length and the grid-spacing. Numerical effects were found to perturb an unexpectedly large range, and the very interesting behavior of very small scale perturbations is reported. Furthermore, velocity moments of the two-point correlation function up to the third order were computed. The comparable values of the second and third (radial) moments in the weakly-correlated regime could explain the well-known discrepancy between theoretical predictions issued from a truncature of the BBGKY hierarchy, and the numerical simulations. On the other hand, the linear theory of the numerical behavior of simulations using grids was established. This imposes very stringent restrictions on the dynamical range usable. In the case of simulations with 64 grid-points per spatial direction, this range narrows to essentially the linear domain. On the other hand, this theory will allow to design better codes in the future.

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