Nonlinear stellar pulsations. I, Numerical methods, basic physics, initial models and first results

TL;DRAbstract

In this paper we introduce a new numerical method to compute nonlinear stellar pulsations. We describe some basic properties of this adaptive grid method and discuss several advantages and further improvements compared to the usual Lagrangian approach. Some first results provide additional justification for this new treatment. Starting from initial hydrostatic models we obtain periodic solutions in the case of Cepheids and an irregular behaviour in the case of extended cool objects. The nonlinear system of radiation hydrodynamics is solved implicitly in conservative form on a fully adaptive grid in order to provide a sufficient spatial resolution in regions of steep gradients

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