Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977apj...211..509d&link_type=abstract
Astrophysical Journal, vol. 211, Jan. 15, 1977, pt. 1, p. 509-526.
Astronomy and Astrophysics
Astrophysics
68
Cepheid Variables, Convective Flow, Stellar Envelopes, Stellar Models, Conservation Equations, Finite Difference Theory, Numerical Integration, Pulsed Radiation, Time Dependence
Scientific paper
Two-dimensional conservation equations of mass, momentum, and energy are integrated over time by finite-difference techniques for several pulsating RR Lyrae models. Convective motion is generated naturally in convectively unstable regions from computer roundoff error. Time dependence is governed solely by the integration of the equations. The numerical approach and assumptions are discussed in detail. The analysis is primarily concerned with the dependence of convection on pulsation phase, which is the result most independent of the various approximations. Cases in which convection plays a major role and where its effects are comparatively minor are both considered. Based on the time dependence, the suppression of radial pulsation is discussed, and a preliminary determination is made of the position of the red edge.
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