论文标题
黑暗能源的非线性欧拉语流体动力学：黎曼问题和有限体积方案
Non-linear Eulerian Hydrodynamics of Dark Energy: Riemann problem and Finite Volume Schemes
论文作者
论文摘要
即将进行的大规模结构调查可以为黑暗能源的特性提供新的启示。特别是，如果暗能是动态成分，则必须具有空间扰动。它们的行为受声音参数的速度调节，目前不受限制。在这项工作中，我们介绍了数值方法，这些方法将允许对声音速度较小且不变的不均匀的暗能量场景进行宇宙学模拟。我们将深色能量成分视为有效的流体，并基于确定的流体动力学数值方法，以构建有效的连续性和Euler方程的数值解。特别是，我们开发了依赖Riemann问题解决方案的保守有限体积方案，我们在这里以精确和近似形式提供了深色能量流体的形式。
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.
