Phase-Space Delaunay Tessellation Field Estimator

TL;DR

This paper introduces a phase-space extension of the Delaunay tessellation field estimator (DTFE) for more accurate density and velocity field reconstruction in dark matter simulations, reducing artifacts and improving resolution.

Contribution

It presents a novel phase-space DTFE method that enhances reconstruction accuracy and artifact removal in multi-stream regions of dark matter simulations.

Findings

Reduces artifacts in multi-stream regions.

Preserves adaptive resolution in high-density areas.

Produces continuous density and velocity fields.

Abstract

The reconstruction of density and velocity fields is of central importance to the interpretation of $N$-body simulations. We propose a phase-space extension of the Delaunay tessellation field estimator (DTFE) that tracks the dark matter fluid in phase-space. The new reconstruction scheme removes several artifacts from the conventional DTFE in multi-stream regions, while preserving the adaptive resolution in high-density regions and yielding continuous fields. The estimator also removes tessellation artifacts of a previously proposed phase-space reconstruction scheme.