Non-stationary Antonov self-gravitating layer: analytics and numerics

Author:

Malkov Evgeny A12,Kudryavtsev Alexey N13

Affiliation:

1. Khristianovich Institute of Theoretical and Applied Mechanics, Russian Academy of Sciences, Siberian Branch, 4/1 Institutskaya Str, 630090 Novosibirsk, Russia

2. Siberian State University of Telecommunications and Information Sciences, 86 Kirova Str, 630102 Novosibirsk, Russia

3. Department of Physics, Novosibirsk State University, 1 Pirogova Str, 630090 Novosibirsk, Russia

Abstract

ABSTRACT 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.

Funder

Russian Science Foundation

Publisher

Oxford University Press (OUP)

Subject

Space and Planetary Science,Astronomy and Astrophysics

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