Statistics – Computation
Scientific paper
Feb 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986a%26a...156..289s&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 156, no. 1-2, Feb. 1986, p. 289-294.
Statistics
Computation
6
Computational Fluid Dynamics, Gas Flow, Inviscid Flow, Method Of Characteristics, One Dimensional Flow, Radiative Transfer, Stellar Atmospheres, Approximation, Hydrodynamic Equations, Optical Thickness, Partial Differential Equations, Thermodynamic Equilibrium
Scientific paper
A method is described for the numerical treatment of one-dimensional plane problems of radiation hydrodynamics relating to inviscid fluids subject to self-gravitation and stationary radiation in local thermodynamic equilibrium. The adopted equation of state describes a gas consisting of hydrogen and helium, including effects of ionization and dissociation on LTE conditions. For plane geometry and a Lagrangian description with appropriate variables, the characteristic form of the hydrodynamic equations is very short and compact. Using discrete angle points, the system of the equations of radiation hydrodynamics is hyperbolic in a general sense. Thus, the method of characteristics can be applied to the complete system of the partial differential equations of radiation hydrodynamics in principle. The integral formulation is taken as a limit. The simple case of the optically thin approximation (a special form of the two-ray approximation and the diffusion approximation) is discussed. Some numerical details are considered for two codes: a second order scheme written for a universal computer and a first order scheme written for a vector computer.
Schmitz Felix
Wolf Rebecca E.
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