Computer Science – Numerical Analysis
Scientific paper
Jul 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976ap%26ss..42..441k&link_type=abstract
Astrophysics and Space Science, vol. 42, July 1976, p. 441-461.
Computer Science
Numerical Analysis
9
Acoustic Velocity, Energy Transfer, One Dimensional Flow, Thermal Radiation, Wave Propagation, Whitham Rule, Acoustic Attenuation, Conservation Equations, Doppler Effect, Eddington Approximation, Equilibrium Equations, Gas Pressure, Harmonic Analysis, Numerical Analysis, Poisson Equation
Scientific paper
Linear waves in a radiating grey medium are studied by taking into account the effects of radiative scattering, pressure, and energy density. An equation of radiative acoustics valid to order 1/c, where c is the sound speed, is derived. Analysis of the properties of the solution reveals that equilibrium and scattering cases are to be distinguished. In the former case, the fundamental properties of the wave nature are determined primarily by the energy exchange between the gas and the radiation. In the latter case, the effect of energy exchange is negligible, and the gas and radiation interact through momentum exchange. The criterion for this is derived. Analysis of harmonic waves shows that the effective optical depth corresponding to the wavelength of a perturbation of interest is a fundamental quantity for each linear wave.
Kaneko Naoto
Ono Yohei
Tamazawa S.
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