CWRU PAT Coffee Agenda

Tuesdays 10:30 - 11:30 | Fridays 11:30 - 12:30

+3 On the (A)dS Decoupling Limits of Massive Gravity.

kxp265 +1 kjh92 +1 lxj154 +1

+1 Despicable Dark Relics: generated by gravity with unconstrained masses.

gds6 +1

+1 Black Hole Remnant in Massive Gravity.

lxj154 +1

+1 An alternative method to generate pre-initial conditions for cosmological $N$-body simulations. - [UPDATED]

cxt282 +1

+1 De Sitter Space and the Swampland. - [UPDATED]

kjh92 +1

+1 DUNE as the Next-Generation Solar Neutrino Experiment.

gds6 +1

Showing votes from 2018-08-31 12:30 to 2018-09-04 11:30 | Next meeting is Friday Aug 8th, 11:30 am.

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astro-ph.CO

  • An alternative method to generate pre-initial conditions for cosmological $N$-body simulations.- [PDF] - [Article] - [UPDATED]

    Shihong Liao
     

    Currently, grid and glass methods are the two most popular choices to generate uniform particle distributions (i.e., pre-initial conditions) for cosmological $N$-body simulations. In this article, we introduce an alternative method called the capacity constrained Voronoi tessellation (CCVT), which originates from computer graphics. As a geometrical equilibrium state, a CCVT particle configuration satisfies two constraints: (i) the volume of the Voronoi cell associated with each particle is equal; (ii) every particle is in the center-of-mass position of its Voronoi cell. We show that the CCVT configuration is uniform and isotropic, follows perfectly the minimal power spectrum, $P(k)\propto k^4$, and is quite stable under gravitational interactions. It is natural to incorporate periodic boundary conditions during CCVT making, therefore, we can obtain a larger CCVT by tiling with a small periodic CCVT. When applying the CCVT pre-initial condition to cosmological $N$-body simulations, we show that it plays as good as grid and glass schemes. The CCVT method will be helpful in studying the numerical convergence of pre-initial conditions in cosmological simulations. It can also be used to set up pre-initial conditions in smoothed-particle hydrodynamics simulations.

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