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Combined DG scheme conserving increased accuracy in shock influence regions. / Ladonkina, Marina; Nekliudova, Olga; Ostapenko, Vladimir et al.

International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019. ed. / Theodore E. Simos; Charalambos Tsitouras. American Institute of Physics Inc., 2020. 370005 (AIP Conference Proceedings; Vol. 2293).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Ladonkina, M, Nekliudova, O, Ostapenko, V & Tishkin, V 2020, Combined DG scheme conserving increased accuracy in shock influence regions. in TE Simos & C Tsitouras (eds), International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019., 370005, AIP Conference Proceedings, vol. 2293, American Institute of Physics Inc., International Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019, Rhodes, Greece, 23.09.2019. https://doi.org/10.1063/5.0027850

APA

Ladonkina, M., Nekliudova, O., Ostapenko, V., & Tishkin, V. (2020). Combined DG scheme conserving increased accuracy in shock influence regions. In T. E. Simos, & C. Tsitouras (Eds.), International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019 [370005] (AIP Conference Proceedings; Vol. 2293). American Institute of Physics Inc.. https://doi.org/10.1063/5.0027850

Vancouver

Ladonkina M, Nekliudova O, Ostapenko V, Tishkin V. Combined DG scheme conserving increased accuracy in shock influence regions. In Simos TE, Tsitouras C, editors, International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019. American Institute of Physics Inc. 2020. 370005. (AIP Conference Proceedings). doi: 10.1063/5.0027850

Author

Ladonkina, Marina ; Nekliudova, Olga ; Ostapenko, Vladimir et al. / Combined DG scheme conserving increased accuracy in shock influence regions. International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019. editor / Theodore E. Simos ; Charalambos Tsitouras. American Institute of Physics Inc., 2020. (AIP Conference Proceedings).

BibTeX

@inproceedings{b51169d828f24cd0bbfa73e58d26bf6e,
title = "Combined DG scheme conserving increased accuracy in shock influence regions",
abstract = "A combined scheme of the discontinuous Galerkin method is proposed. This scheme monotonously localizes the shocks and simultaneously maintains increased accuracy in the shock influence regions. In this scheme, a non-monotonic version of the third-order DG method is used as the baseline and a monotonic version of this method is used as the internal one, in which a nonlinear correction of numerical flows is used. Numerical tests demonstrating the advantages of the new scheme compared to the standard monotonized variants of the DG method areprovided.",
author = "Marina Ladonkina and Olga Nekliudova and Vladimir Ostapenko and Vladimir Tishkin",
note = "Funding Information: The work was carried out with support by the Russian Science Foundation (grant No. 16-11-10033). Publisher Copyright: {\textcopyright} 2020 American Institute of Physics Inc.. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; International Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019 ; Conference date: 23-09-2019 Through 28-09-2019",
year = "2020",
month = nov,
day = "24",
doi = "10.1063/5.0027850",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Simos, {Theodore E.} and Charalambos Tsitouras",
booktitle = "International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019",

}

RIS

TY - GEN

T1 - Combined DG scheme conserving increased accuracy in shock influence regions

AU - Ladonkina, Marina

AU - Nekliudova, Olga

AU - Ostapenko, Vladimir

AU - Tishkin, Vladimir

N1 - Funding Information: The work was carried out with support by the Russian Science Foundation (grant No. 16-11-10033). Publisher Copyright: © 2020 American Institute of Physics Inc.. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/11/24

Y1 - 2020/11/24

N2 - A combined scheme of the discontinuous Galerkin method is proposed. This scheme monotonously localizes the shocks and simultaneously maintains increased accuracy in the shock influence regions. In this scheme, a non-monotonic version of the third-order DG method is used as the baseline and a monotonic version of this method is used as the internal one, in which a nonlinear correction of numerical flows is used. Numerical tests demonstrating the advantages of the new scheme compared to the standard monotonized variants of the DG method areprovided.

AB - A combined scheme of the discontinuous Galerkin method is proposed. This scheme monotonously localizes the shocks and simultaneously maintains increased accuracy in the shock influence regions. In this scheme, a non-monotonic version of the third-order DG method is used as the baseline and a monotonic version of this method is used as the internal one, in which a nonlinear correction of numerical flows is used. Numerical tests demonstrating the advantages of the new scheme compared to the standard monotonized variants of the DG method areprovided.

UR - http://www.scopus.com/inward/record.url?scp=85097978901&partnerID=8YFLogxK

U2 - 10.1063/5.0027850

DO - 10.1063/5.0027850

M3 - Conference contribution

AN - SCOPUS:85097978901

T3 - AIP Conference Proceedings

BT - International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019

A2 - Simos, Theodore E.

A2 - Tsitouras, Charalambos

PB - American Institute of Physics Inc.

T2 - International Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019

Y2 - 23 September 2019 through 28 September 2019

ER -

ID: 27326856