暗能量的非线性欧拉流体动力学：黎曼问题与有限体积格式
Non-linear Eulerian Hydrodynamics of Dark Energy: Riemann problem and Finite Volume Schemes
AI总结：
本文针对声速较小且非零的暗能量场景，提出基于黎曼问题的守恒型有限体积数值方法，用于模拟非均匀暗能量的宇宙学演化。
摘要：
即将开展的大尺度结构巡天可以为暗能量的性质提供新的认识。特别是，如果暗能量是一个动力学分量，它必然具有空间扰动。这些扰动的行为由声速参数调控，而该参数目前尚未受到约束。在本工作中，我们提出了数值方法，这些方法将允许对声速较小且非零的非均匀暗能量场景进行宇宙学模拟。我们将暗能量分量视为一种有效流体，并基于已有的流体动力学数值方法，构建有效连续性方程和欧拉方程的数值解。具体而言，我们发展了守恒型有限体积格式，这些格式依赖于黎曼问题的解，我们在此针对暗能量流体的情形，给出了该问题的精确解和近似解两种形式。
英文摘要：
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.
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