Application of the CABARET scheme for calculation of discontinuous solutions of the scalar conservation law with nonconvex flux

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Application of the CABARET scheme for calculation of discontinuous solutions of the scalar conservation law with nonconvex flux. / Ostapenko, V. V.; Cherevko, A. A.

в: Doklady Physics, Том 62, № 10, 01.10.2017, стр. 470-474.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{5f4886797f8c4264975976cf014068ba,

title = "Application of the CABARET scheme for calculation of discontinuous solutions of the scalar conservation law with nonconvex flux",

abstract = "The monotonicity of the CABARET scheme approximating the quasi-linear scalar conservation law with nonconvex flux is analyzed. The conditions of monotonicity of this scheme are obtained in the case when the speed of propagation of characteristics of the approximated equation is limited and nonnegative. As an example, the test calculations by the CABARET scheme of discontinuous solutions of the Buckley–Leverett equation are presented.",

author = "Ostapenko, {V. V.} and Cherevko, {A. A.}",

year = "2017",

month = oct,

day = "1",

doi = "10.1134/S1028335817100056",

language = "English",

volume = "62",

pages = "470--474",

journal = "Doklady Physics",

issn = "1028-3358",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "10",

}

RIS

TY - JOUR

T1 - Application of the CABARET scheme for calculation of discontinuous solutions of the scalar conservation law with nonconvex flux

AU - Ostapenko, V. V.

AU - Cherevko, A. A.

PY - 2017/10/1

Y1 - 2017/10/1

N2 - The monotonicity of the CABARET scheme approximating the quasi-linear scalar conservation law with nonconvex flux is analyzed. The conditions of monotonicity of this scheme are obtained in the case when the speed of propagation of characteristics of the approximated equation is limited and nonnegative. As an example, the test calculations by the CABARET scheme of discontinuous solutions of the Buckley–Leverett equation are presented.

AB - The monotonicity of the CABARET scheme approximating the quasi-linear scalar conservation law with nonconvex flux is analyzed. The conditions of monotonicity of this scheme are obtained in the case when the speed of propagation of characteristics of the approximated equation is limited and nonnegative. As an example, the test calculations by the CABARET scheme of discontinuous solutions of the Buckley–Leverett equation are presented.

UR - http://www.scopus.com/inward/record.url?scp=85032926057&partnerID=8YFLogxK

U2 - 10.1134/S1028335817100056

DO - 10.1134/S1028335817100056

M3 - Article

AN - SCOPUS:85032926057

VL - 62

SP - 470

EP - 474

JO - Doklady Physics

JF - Doklady Physics

SN - 1028-3358

IS - 10

ER -

ID: 9410373