Numerical solution of the Vlasov-Poisson equations using a semi-Lagrangian WENO scheme implemented on GPU

E. A. Malkov; S. O. Poleshkin; A. A. Shershnev; A. N. Kudryavtsev

doi:10.1088/1742-6596/1404/1/012119

Numerical solution of the Vlasov-Poisson equations using a semi-Lagrangian WENO scheme implemented on GPU

E. A. Malkov, S. O. Poleshkin, A. A. Shershnev, A. N. Kudryavtsev

Результат исследования: Научные публикации в периодических изданиях › статья по материалам конференции › рецензирование

1 Цитирования (Scopus)

Аннотация

A numerical method for solving the Vlasov-Poisson equations using a high-order semi-Lagrange conservative WENO scheme is developed. The Vlasov-Poisson equations govern evolution of the collisionless self-interacting medium and are widely used in plasma physics and astrophysics, in particular for modeling dynamics of galactic systems. The method is implemented for computations on Graphical Processing Units (GPUs). The GPU code is validated using an exact unsteady analytical solution describing nonlinear oscillations of a plane self-gravitating layer. The comparison with numerical results obtained with the serial CPU code show a significant, up to 50 times, speed-up of the computations.

Язык оригинала	английский
Номер статьи	012119
Журнал	Journal of Physics: Conference Series
Том	1404
Номер выпуска	1
DOI	https://doi.org/10.1088/1742-6596/1404/1/012119
Состояние	Опубликовано - 6 дек 2019
Событие	16th All-Russian Seminar with International Participation on Dynamics of Multiphase Media, DMM 2019 - Novosibirsk, Российская Федерация Продолжительность: 30 сен 2019 → 5 окт 2019

Доступ к документу

10.1088/1742-6596/1404/1/012119

Другие файлы и ссылки

Link to publication in Scopus

Fingerprint

Подробные сведения о темах исследования «Numerical solution of the Vlasov-Poisson equations using a semi-Lagrangian WENO scheme implemented on GPU». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать

@article{5a4c416788a547ef90d0a871cbdfca4a,

title = "Numerical solution of the Vlasov-Poisson equations using a semi-Lagrangian WENO scheme implemented on GPU",

abstract = "A numerical method for solving the Vlasov-Poisson equations using a high-order semi-Lagrange conservative WENO scheme is developed. The Vlasov-Poisson equations govern evolution of the collisionless self-interacting medium and are widely used in plasma physics and astrophysics, in particular for modeling dynamics of galactic systems. The method is implemented for computations on Graphical Processing Units (GPUs). The GPU code is validated using an exact unsteady analytical solution describing nonlinear oscillations of a plane self-gravitating layer. The comparison with numerical results obtained with the serial CPU code show a significant, up to 50 times, speed-up of the computations.",

author = "Malkov, {E. A.} and Poleshkin, {S. O.} and Shershnev, {A. A.} and Kudryavtsev, {A. N.}",

note = "Publisher Copyright: {\textcopyright} 2019 IOP Publishing Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; 16th All-Russian Seminar with International Participation on Dynamics of Multiphase Media, DMM 2019 ; Conference date: 30-09-2019 Through 05-10-2019",

year = "2019",

month = dec,

day = "6",

doi = "10.1088/1742-6596/1404/1/012119",

language = "English",

volume = "1404",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

}

Numerical solution of the Vlasov-Poisson equations using a semi-Lagrangian WENO scheme implemented on GPU. / Malkov, E. A.; Poleshkin, S. O.; Shershnev, A. A.; Kudryavtsev, A. N.

В: Journal of Physics: Conference Series, Том 1404, № 1, 012119, 06.12.2019.

Результат исследования: Научные публикации в периодических изданиях › статья по материалам конференции › рецензирование

TY - JOUR

T1 - Numerical solution of the Vlasov-Poisson equations using a semi-Lagrangian WENO scheme implemented on GPU

AU - Malkov, E. A.

AU - Poleshkin, S. O.

AU - Shershnev, A. A.

AU - Kudryavtsev, A. N.

PY - 2019/12/6

Y1 - 2019/12/6

N2 - A numerical method for solving the Vlasov-Poisson equations using a high-order semi-Lagrange conservative WENO scheme is developed. The Vlasov-Poisson equations govern evolution of the collisionless self-interacting medium and are widely used in plasma physics and astrophysics, in particular for modeling dynamics of galactic systems. The method is implemented for computations on Graphical Processing Units (GPUs). The GPU code is validated using an exact unsteady analytical solution describing nonlinear oscillations of a plane self-gravitating layer. The comparison with numerical results obtained with the serial CPU code show a significant, up to 50 times, speed-up of the computations.

AB - A numerical method for solving the Vlasov-Poisson equations using a high-order semi-Lagrange conservative WENO scheme is developed. The Vlasov-Poisson equations govern evolution of the collisionless self-interacting medium and are widely used in plasma physics and astrophysics, in particular for modeling dynamics of galactic systems. The method is implemented for computations on Graphical Processing Units (GPUs). The GPU code is validated using an exact unsteady analytical solution describing nonlinear oscillations of a plane self-gravitating layer. The comparison with numerical results obtained with the serial CPU code show a significant, up to 50 times, speed-up of the computations.

UR - http://www.scopus.com/inward/record.url?scp=85077811266&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1404/1/012119

DO - 10.1088/1742-6596/1404/1/012119

M3 - Conference article

AN - SCOPUS:85077811266

VL - 1404

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012119

T2 - 16th All-Russian Seminar with International Participation on Dynamics of Multiphase Media, DMM 2019

Y2 - 30 September 2019 through 5 October 2019

ER -