Non-stationary Antonov self-gravitating layer

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Non-stationary Antonov self-gravitating layer : analytics and numerics. / Malkov, Evgeny A.; Kudryavtsev, Alexey N.

In: Monthly Notices of the Royal Astronomical Society, Vol. 491, No. 3, 01.01.2020, p. 3952-3966.

Research output: Contribution to journal › Article › peer-review

Harvard

Malkov, EA & Kudryavtsev, AN 2020, 'Non-stationary Antonov self-gravitating layer: analytics and numerics', Monthly Notices of the Royal Astronomical Society, vol. 491, no. 3, pp. 3952-3966. https://doi.org/10.1093/mnras/stz3276

APA

Malkov, E. A., & Kudryavtsev, A. N. (2020). Non-stationary Antonov self-gravitating layer: analytics and numerics. Monthly Notices of the Royal Astronomical Society, 491(3), 3952-3966. https://doi.org/10.1093/mnras/stz3276

Vancouver

Malkov EA, Kudryavtsev AN. Non-stationary Antonov self-gravitating layer: analytics and numerics. Monthly Notices of the Royal Astronomical Society. 2020 Jan 1;491(3):3952-3966. doi: 10.1093/mnras/stz3276

Author

Malkov, Evgeny A. ; Kudryavtsev, Alexey N. / Non-stationary Antonov self-gravitating layer : analytics and numerics. In: Monthly Notices of the Royal Astronomical Society. 2020 ; Vol. 491, No. 3. pp. 3952-3966.

BibTeX

@article{f95d4036e5644ab98322b1a95a0de7ce,

title = "Non-stationary Antonov self-gravitating layer: analytics and numerics",

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.",

keywords = "gravitation, instabilities, methods: analytical, methods: numerical, galaxies: formation, STATISTICAL-MECHANICS, VLASOV EQUATION, RELAXATION, SCHEMES, POISSON, Gravitation, Instabilities, Methods: analytical, Methods: numerical, Galaxies: formation",

author = "Malkov, {Evgeny A.} and Kudryavtsev, {Alexey N.}",

year = "2020",

month = jan,

day = "1",

doi = "10.1093/mnras/stz3276",

language = "English",

volume = "491",

pages = "3952--3966",

journal = "Monthly Notices of the Royal Astronomical Society",

issn = "0035-8711",

publisher = "Oxford University Press",

number = "3",

}

RIS

TY - JOUR

T1 - Non-stationary Antonov self-gravitating layer

T2 - analytics and numerics

AU - Malkov, Evgeny A.

AU - Kudryavtsev, Alexey N.

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 -

ID: 24394568