TY - JOUR

T1 - Non-stationary Antonov self-gravitating layer

T2 - analytics and numerics

AU - Malkov, Evgeny A.

AU - Kudryavtsev, Alexey N.

N1 - Publisher Copyright: © 2019 The Author(s). Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2020/1/1

Y1 - 2020/1/1

N2 - 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.

AB - 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.

KW - gravitation

KW - instabilities

KW - methods: analytical

KW - methods: numerical

KW - galaxies: formation

KW - STATISTICAL-MECHANICS

KW - VLASOV EQUATION

KW - RELAXATION

KW - SCHEMES

KW - POISSON

KW - Gravitation

KW - Instabilities

KW - Methods: analytical

KW - Methods: numerical

KW - Galaxies: formation

UR - http://www.scopus.com/inward/record.url?scp=85096708665&partnerID=8YFLogxK

U2 - 10.1093/mnras/stz3276

DO - 10.1093/mnras/stz3276

M3 - Article

VL - 491

SP - 3952

EP - 3966

JO - Monthly Notices of the Royal Astronomical Society

JF - Monthly Notices of the Royal Astronomical Society

SN - 0035-8711

IS - 3

ER -