Numerical computation of certain three-dimensional stellar structures using a semidiscrete pseudospectral method

Details Numerical computation of certain three-dimensional stellar structures using a semidiscrete pseudospectral method Numerical computation of certain three-dimensional stellar structures using a semidiscrete pseudospectral method

Mar 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981zamp...32..204m&link_type=abstract

Zeitschrift für angewandte Mathematik und Physik, vol. 32, Mar. 25, 1981, p. 204-228. Research supported by the University of Ca

Computer Science

Numerical Analysis

1

Binary Stars, Elliptic Differential Equations, Numerical Analysis, Stellar Models, Stellar Structure, Boundary Value Problems, Computer Techniques, Discrete Functions, Galerkin Method, Nonlinear Equations, Polytropic Processes

Scientific paper

A numerical method is presented for solving three-dimensional stellar structure problems, formulated as free boundary problems for a mildly nonlinear elliptic differential equation. A combination is developed using a Newton-Raphson procedure, a trial free boundary method, a pseudospectral Galerkin type method (for angular dependence) and finite differences (for radial dependence). Computer implementation of the method is discussed. The method is applied to the computation of the structure of a critical, polytropic primary in a synchronous binary system. For n equals 3.0, the results are found to be in reasonable agreement with those obtained previously by an expansion method. This expansion method is not capable of computing the structure of the other interesting polytrope with n equals 1.5, which presented no difficulties to the present method.

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