Radiation Hydrodynamics Scaling Laws in High Energy Density Physics and Laboratory Astrophysics

TL;DR

This paper derives scaling laws for radiating fluids in high energy density physics, enabling the rescaling of laboratory experiments to match astrophysical conditions using symmetry analysis.

Contribution

It introduces a systematic method using homothetic Lie groups to derive scaling laws and similarity properties for radiating fluids in different optical regimes.

Findings

Derived scaling laws for optically thin and thick regimes.

Identified free parameters for experiment rescaling.

Provided a framework for laboratory-astrophysics experiment comparison.

Abstract

In this paper, radiating fluids scaling laws are studied. We focus on optically thin and optically thick regimes which are relevant for both astrophysics and laboratory experiments. By using homothetic Lie groups, we obtain the scaling laws, the similarity properties and the number of free parameters which allow to rescale experiments in the two astrophyscial situations.