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

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

Oct 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983apj...273..346a&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 273, Oct. 1, 1983, p. 346-354.

Astronomy and Astrophysics

Astrophysics

14

Hydrogen Ions, Stellar Oscillations, Stellar Temperature, Coordinate Transformations, Eigenvalues, Lagrange Coordinates, Magnetohydrodynamics, Stellar Models, Temperature Distribution

Scientific paper

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.

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