Coordinate stretching and interface location III. A general relaxation method with application to composite polytropes
ABSTRACT: A general method is developed for the numerical solution of two-point boundary value problems with interfaces. The conventional method of perturbation, discretization and iteration, is rendered uniformly valid throughout the configuration by the application of a generalized Poincaré-Lighthill theory of strained coordinates. Conditions of applicability are discussed. The method is illustrated through application to the problem of a spherical composite polytrope both with and without a density discontinuity. The numerical solutions show good agreement with an analytical solution which has been derived for a particular composite polytrope.
Files
Metadata
| Work Title | Coordinate stretching and interface location III. A general relaxation method with application to composite polytropes |
|---|---|
| Access | |
| Creators |
|
| License | CC BY-NC-SA 4.0 (Attribution-NonCommercial-ShareAlike) |
| Work Type | Article |
| Publication Date | July 1974 |
| Deposited | March 30, 2025 |