Lagrangian reconstruction of cosmic velocity fields

Abstract

We discuss a Lagrangian reconstruction method of the velocity field from galaxy redshift catalog that takes its root in the Euler equation. This results in a ``functional'' of the velocity field which must be minimized. This is helped by an algorithm solving the minimization of cost-flow problems. The results obtained by applying this method to cosmological problems are shown and boundary effects happening in real observational cases are then discussed. Finally, a statistical model of the errors made by the reconstruction method is proposed.

5 pages, 5 figures, contribution to the conference "Euler's Equations: 250 Years On" (see http://www.obs-nice.fr/etc7/EE250/); to be published in a special issue of Physica D containing the proceedings of that conference

References in corpus (4)

• Hydra: An Adaptive--Mesh Implementation of PPPM--SPH
• Reconstruction of the early Universe as a convex optimization problem
• Reconstruction of primordial density fields
• The Monge-Ampère-Kantorovich approach to reconstruction in cosmology

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• Reconstructing the cosmic density field with the distribution of dark matter halos
• Toward an Optimal Sampling of Peculiar Velocity Surveys For Wiener Filter Reconstructions
• Merger types forming the Virgo cluster in recent gigayears
• The Monge-Ampère-Kantorovich approach to reconstruction in cosmology
• Nonlinear Reconstruction of the Velocity Field