Temperature-grid coordinates for treating pulsations in the hydrogen ionization zone

Abstract

view Abstract Citations (15) References (13) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Temperature-grid coordinates for treating pulsations in the hydrogen ionization zone Aikawa, T. ; Simon, N. R. Abstract A temperature grid is used for the description of motion in the hydrogen ionization region (HIR). This means zones are labeled by temperature rather than mass. Outside the HIR, the conventional Lagrangian grid is used, with transitional coordinates at the boundaries. Although the final object is to apply this scheme to the nonlinear periodic integration problem, there is first constructed a linear version, as a test. It is found that periods and growth rates agree very well with those calculated using pure Lagrangian coordinates, but the temperature grid scheme proves less sensitive to a reduction of zones in the HIR. This property is desirable for the nonlinear problem where zoning must necesarily be coarse. As a further test of the temperature grid, the linear work integral is formulated in the new coordinates, confirming the consistency of the growth rates. Finally, it is shown that the scheme is insensitive to a change in the manner in which the transition zones are treated. Publication: The Astrophysical Journal Pub Date: October 1983 DOI: 10.1086/161373 Bibcode: 1983ApJ...273..346A Keywords: Hydrogen Ions; Stellar Oscillations; Stellar Temperature; Coordinate Transformations; Eigenvalues; Lagrange Coordinates; Magnetohydrodynamics; Stellar Models; Temperature Distribution; Astrophysics full text sources ADS |