Non-linear Eulerian Hydrodynamics of Dark Energy: Riemann problem and Finite Volume Schemes
Abstract
Upcoming large-scale-structure surveys can shed new light on the properties of dark energy. In particular, if dark energy is a dynamical component, it must have spatial perturbations. Their behaviour is regulated by the speed of sound parameter, which is currently unconstrained. In this work we present the numerical methods that will allow to perform cosmological simulations of inhomogeneous dark energy scenarios where the speed of sound is small and non-vanishing. We treat the dark energy component as an effective fluid and build upon established numerical methods for hydrodynamics to construct a numerical solution of the effective continuity and Euler equations. In particular, we develop conservative finite volume schemes that rely on the solution of the Riemann problem, which we provide here in both exact and approximate forms for the case of a dark energy fluid.
Keywords
Cite
@article{arxiv.2210.04800,
title = {Non-linear Eulerian Hydrodynamics of Dark Energy: Riemann problem and Finite Volume Schemes},
author = {Linda Blot and Pier Stefano Corasaniti and Fabian Schmidt},
journal= {arXiv preprint arXiv:2210.04800},
year = {2023}
}
Comments
38 pages, 22 figures, replaced to match the published version on JCAP. Significant changes in Section 4.2 and new advection test in Section 5.4