We simulate time-dependent compressible hydrodynamic convection including the effects of radiative transfer (RT). The gray RT equation is solved along bundles of parallel rays using an integral method. Applying a perturbation to an initial polytrope, we follow the flows for many sound-crossing times. In the linear regime, we report on a case where, in the presence of radiation, the critical Rayleigh number Ra_c(rad) for onset of convection is at least 20%-30% smaller than the value of Ra_c in the absence of radiation. In the nonlinear regime, we report on another case where the entropy gradients and maximum flow speeds in the presence of radiation are larger by factors of at least 40%-60% than the corresponding quantities in the nonradiative case.
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