For model calculations on stellar structure and stellar evolution, the non-local time-dependent character of convection must be taken into account. In the present work, a model for the treatment of convection is derived, which takes these effects into account. An averaging procedure leads to model equations that only contain a dependency on time and on the radial coordinate of the star, which is assumed to be approximately spherically symmetric. These equations are closed by physically motivated model assumptions. The properties of the model are discussed on the basis of analytical considerations and applications.
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For model calculations on stellar structure and stellar evolution, the non-local time-dependent character of convection must be taken into account. In the present work, a model for the treatment of convection is derived, which takes these effects into account. An averaging procedure leads to model equations that only contain a dependency on time and on the radial coordinate of the star, which is assumed to be approximately spherically symmetric. These equations are closed by physically motivated...
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