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Numerical solution of the transport equation for simulating the evolution of 2D gravitating systems. / Malkov, E. A.; Kudryavtsev, A. N.

In: AIP Conference Proceedings, Vol. 2504, No. 1, 030033, 16.02.2023.

Research output: Contribution to journal › Conference article › peer-review

Harvard

Malkov, EA & Kudryavtsev, AN 2023, 'Numerical solution of the transport equation for simulating the evolution of 2D gravitating systems', AIP Conference Proceedings, vol. 2504, no. 1, 030033. https://doi.org/10.1063/5.0132390

APA

Malkov, E. A., & Kudryavtsev, A. N. (2023). Numerical solution of the transport equation for simulating the evolution of 2D gravitating systems. AIP Conference Proceedings, 2504(1), [030033]. https://doi.org/10.1063/5.0132390

Vancouver

Malkov EA, Kudryavtsev AN. Numerical solution of the transport equation for simulating the evolution of 2D gravitating systems. AIP Conference Proceedings. 2023 Feb 16;2504(1):030033. doi: 10.1063/5.0132390

Author

Malkov, E. A. ; Kudryavtsev, A. N. / Numerical solution of the transport equation for simulating the evolution of 2D gravitating systems. In: AIP Conference Proceedings. 2023 ; Vol. 2504, No. 1.

BibTeX

@article{4df9be8e9a8a4234a7bb00cf574cf17f,
title = "Numerical solution of the transport equation for simulating the evolution of 2D gravitating systems",
abstract = "The paper proposes a method for testing of numerical schemes used to solve the Vlasov equation, a collisionless kinetic equation. The method is based on comparing numerical data with exact analytical solutions and control of the behavior of the second-order moments of the distribution function. An efficient software implementation on Tensor Processor Units (TPUs) for calculating the moments is described. The results of test computations of the dynamics of a rotating and pulsating infinitely thin disk in an external field are presented; the computations have been performed using a multidimensional semi-Lagrangian method with both the conservative WENO and linear upwind schemes of the 5th order.",
author = "Malkov, {E. A.} and Kudryavtsev, {A. N.}",
note = "The work was supported by the Russian Science Foundation (Grant No. 18-11-00246-Π). We are grateful for this support. The computations were performed on the hybrid cluster of the Novosibirsk State University (http://nusc.nsu.ru).; 2021 Actual Problems of Continuum Mechanics: Experiment, Theory, and Applications : XXVIII Всероссийская конференция с международным участием «Высокоэнергетические процессы в механике сплошной среды», посвященная 100-летию со дня рождения Н.Н. Яненко ; Conference date: 20-09-2021 Through 24-09-2021",
year = "2023",
month = feb,
day = "16",
doi = "10.1063/5.0132390",
language = "English",
volume = "2504",
journal = "AIP Conference Proceedings",
issn = "0094-243X",
publisher = "American Institute of Physics",
number = "1",

}

RIS

TY - JOUR

T1 - Numerical solution of the transport equation for simulating the evolution of 2D gravitating systems

AU - Malkov, E. A.

AU - Kudryavtsev, A. N.

N1 - The work was supported by the Russian Science Foundation (Grant No. 18-11-00246-Π). We are grateful for this support. The computations were performed on the hybrid cluster of the Novosibirsk State University (http://nusc.nsu.ru).

PY - 2023/2/16

Y1 - 2023/2/16

N2 - The paper proposes a method for testing of numerical schemes used to solve the Vlasov equation, a collisionless kinetic equation. The method is based on comparing numerical data with exact analytical solutions and control of the behavior of the second-order moments of the distribution function. An efficient software implementation on Tensor Processor Units (TPUs) for calculating the moments is described. The results of test computations of the dynamics of a rotating and pulsating infinitely thin disk in an external field are presented; the computations have been performed using a multidimensional semi-Lagrangian method with both the conservative WENO and linear upwind schemes of the 5th order.

AB - The paper proposes a method for testing of numerical schemes used to solve the Vlasov equation, a collisionless kinetic equation. The method is based on comparing numerical data with exact analytical solutions and control of the behavior of the second-order moments of the distribution function. An efficient software implementation on Tensor Processor Units (TPUs) for calculating the moments is described. The results of test computations of the dynamics of a rotating and pulsating infinitely thin disk in an external field are presented; the computations have been performed using a multidimensional semi-Lagrangian method with both the conservative WENO and linear upwind schemes of the 5th order.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85149690391&origin=inward&txGid=b1160b90d83b4337496edc88f14f6bf8

UR - https://www.mendeley.com/catalogue/e86833a7-1d96-3fd0-ae3f-9f9ecaf139b2/

U2 - 10.1063/5.0132390

DO - 10.1063/5.0132390

M3 - Conference article

VL - 2504

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

SN - 0094-243X

IS - 1

M1 - 030033

T2 - 2021 Actual Problems of Continuum Mechanics: Experiment, Theory, and Applications

Y2 - 20 September 2021 through 24 September 2021

ER -

ID: 59659230