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Comparison of the WENO and cabaret schemes at calculation of the scalar conservation law with a nonconvex flux. / Gologush, T. S.; Cherevko, A. A.; Ostapenko, V. V.

International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019. ed. / Theodore E. Simos; Charalambos Tsitouras. American Institute of Physics Inc., 2020. 370006 (AIP Conference Proceedings; Vol. 2293).

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

Harvard

Gologush, TS, Cherevko, AA & Ostapenko, VV 2020, Comparison of the WENO and cabaret schemes at calculation of the scalar conservation law with a nonconvex flux. in TE Simos & C Tsitouras (eds), International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019., 370006, 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/10.1063/5.0027482

APA

Gologush, T. S., Cherevko, A. A., & Ostapenko, V. V. (2020). Comparison of the WENO and cabaret schemes at calculation of the scalar conservation law with a nonconvex flux. In T. E. Simos, & C. Tsitouras (Eds.), International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019 [370006] (AIP Conference Proceedings; Vol. 2293). American Institute of Physics Inc.. https://doi.org/10.1063/5.0027482

Vancouver

Gologush TS, Cherevko AA, Ostapenko VV. Comparison of the WENO and cabaret schemes at calculation of the scalar conservation law with a nonconvex flux. In Simos TE, Tsitouras C, editors, International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019. American Institute of Physics Inc. 2020. 370006. (AIP Conference Proceedings). doi: 10.1063/5.0027482

Author

Gologush, T. S. ; Cherevko, A. A. ; Ostapenko, V. V. / Comparison of the WENO and cabaret schemes at calculation of the scalar conservation law with a nonconvex flux. 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{fe5cdcbc428941869f55d6a4cbdcae0b,
title = "Comparison of the WENO and cabaret schemes at calculation of the scalar conservation law with a nonconvex flux",
abstract = "It is studied the accuracy of the WENO and CABARET finite-difference schemes when calculating Cauchy problem with piecewise constant initial data for the scalar conservation law with a nonconvex flux. As a specific conservation law, we consider the Buckley-Leverett equation, which is widely used in the numerical simulation of various physical processes. Test calculations have shown that a second-order CABARET-scheme with higher accuracy than the WENO3 and WENO5 schemes localizes the shocks and adjacent rarefaction waves.",
author = "Gologush, {T. S.} and Cherevko, {A. A.} and Ostapenko, {V. V.}",
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 = "10.1063/5.0027482",
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 - Comparison of the WENO and cabaret schemes at calculation of the scalar conservation law with a nonconvex flux

AU - Gologush, T. S.

AU - Cherevko, A. A.

AU - Ostapenko, V. V.

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 - It is studied the accuracy of the WENO and CABARET finite-difference schemes when calculating Cauchy problem with piecewise constant initial data for the scalar conservation law with a nonconvex flux. As a specific conservation law, we consider the Buckley-Leverett equation, which is widely used in the numerical simulation of various physical processes. Test calculations have shown that a second-order CABARET-scheme with higher accuracy than the WENO3 and WENO5 schemes localizes the shocks and adjacent rarefaction waves.

AB - It is studied the accuracy of the WENO and CABARET finite-difference schemes when calculating Cauchy problem with piecewise constant initial data for the scalar conservation law with a nonconvex flux. As a specific conservation law, we consider the Buckley-Leverett equation, which is widely used in the numerical simulation of various physical processes. Test calculations have shown that a second-order CABARET-scheme with higher accuracy than the WENO3 and WENO5 schemes localizes the shocks and adjacent rarefaction waves.

UR - http://www.scopus.com/inward/record.url?scp=85098011929&partnerID=8YFLogxK

U2 - 10.1063/5.0027482

DO - 10.1063/5.0027482

M3 - Conference contribution

AN - SCOPUS:85098011929

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: 27326770