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

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

в: AIP Conference Proceedings, Том 2504, № 1, 030033, 16.02.2023.

Результаты исследований: Научные публикации в периодических изданиях › статья по материалам конференции › Рецензирование

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