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We discuss the properties of an analytical solution for waves in radiatingfluids, with a view towards its implementation as a quantitative test ofradiation hydrodynamics codes. A homogeneous radiating fluid in localthermodynamic equilibrium is periodically driven at the boundary of aone-dimensional domain, and the solution describes the propagation of the wavesthus excited. Two modes are excited for a given driving frequency, generallyreferred to as a radiative acoustic wave and a radiative diffusion wave. Whilethe analytical solution is well known, several features are highlighted herethat require care during its numerical implementation. We compare the solutionin a wide range of parameter space to a numerical integration with a Lagrangianradiation hydrodynamics code. Our most significant observation is thatflux-limited diffusion does not preserve causality for waves on a homogeneousbackground.

Numerical Tests and Properties of Waves in Radiating Fluids