Аннотация
Large-scale instability of gravitating systems plays a key role in collisionless relaxation and in reaching a quasi-stationary state at the early stage of evolution. Advanced high-resolution methods and permanently increasing performance of computational systems allow this phenomenon to be studied by means of computer simulations at a new level. In this paper, an approach to verification and validation of computer codes implementing high-resolution methods is proposed. The approach is based on comparisons of the simulation results with exact non-stationary solutions of the Vlasov-Poisson equations. The evolution of the gravitating layer model is considered as an example of implementation of this approach. A one-parameter family of exact models of a non-stationary gravitating layer is described, and their stability to large-scale disturbances in the linear approximation is analytically studied. Non-linear instability development is computed with the use of the fifth-order conservative semi-Lagrangian WENO scheme.
Язык оригинала | английский |
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Страницы (с-по) | 3952-3966 |
Число страниц | 15 |
Журнал | Monthly Notices of the Royal Astronomical Society |
Том | 491 |
Номер выпуска | 3 |
DOI | |
Состояние | Опубликовано - 1 янв 2020 |
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