A charge moment method for time-dependent radiative cooling of hot optically thin plasmas

Astronomy and Astrophysics – Astrophysics

Scientific paper

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High Temperature Plasmas, Optical Thickness, Radiant Cooling, Radiative Heat Transfer, Time Dependence, Abundance, Eigenvalues, Electron Density (Concentration), Emissivity, Ionization, Photoionization

Scientific paper

Methods for rapidly estimating the nonequilibrium emissivity of hot optically thin plasmas are discussed. A 'three- to five-stage method' is introduced in which a small number of charge moments are evolved for each chemical element. From these moments, the ionization state and nonequilibrium emissivity of the plasma are estimated. A three-stage treatment is used for the ionization equilibrium with a possible extension to four or five stages for rapidly recombining plasmas; approximations are made which allow an analytic solution to the simplified problem. Results obtained with this method are compared to more detailed calculations in which the full time-dependent ionization kinetics are modeled. The three- to five-stage method typically reproduced the total nonequilibrium emissivity to better than 30 percent. The present method allows savings in processor time and in storage, making it useful for large-scale gas-dynamical calculations in which nonequilibrium cooling is important.

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