Standard

Accuracy of MUSCL-Type Schemes in Shock Wave Calculations. / Kovyrkina, O. A.; Ostapenko, V. V.

In: Doklady Mathematics, Vol. 101, No. 3, 01.05.2020, p. 209-213.

Research output: Contribution to journal › Letter › peer-review

Harvard

Kovyrkina, OA & Ostapenko, VV 2020, 'Accuracy of MUSCL-Type Schemes in Shock Wave Calculations', Doklady Mathematics, vol. 101, no. 3, pp. 209-213. https://doi.org/10.1134/S1064562420030126

APA

Kovyrkina, O. A., & Ostapenko, V. V. (2020). Accuracy of MUSCL-Type Schemes in Shock Wave Calculations. Doklady Mathematics, 101(3), 209-213. https://doi.org/10.1134/S1064562420030126

Vancouver

Kovyrkina OA, Ostapenko VV. Accuracy of MUSCL-Type Schemes in Shock Wave Calculations. Doklady Mathematics. 2020 May 1;101(3):209-213. doi: 10.1134/S1064562420030126

Author

Kovyrkina, O. A. ; Ostapenko, V. V. / Accuracy of MUSCL-Type Schemes in Shock Wave Calculations. In: Doklady Mathematics. 2020 ; Vol. 101, No. 3. pp. 209-213.

BibTeX

@article{44e8c2927b844f979a41cfc3603ea3a8,
title = "Accuracy of MUSCL-Type Schemes in Shock Wave Calculations",
abstract = "The central-difference Nessyahu–Tadmor (NT) scheme is considered, which is built using second-order MUSCL reconstruction of fluxes. The accuracy of the NT scheme is studied as applied to calculating shock waves propagating with a variable velocity. It is shown that this scheme has the first order of integral convergence on intervals with one of the boundaries lying in the region of influence of the shock wave. As a result, the local accuracy of the NT scheme is significantly reduced in these areas. Test calculations are presented that demonstrate these properties of the NT scheme.",
keywords = ": NT scheme, accuracy of finite-difference scheme, MUSCL flux reconstruction, shock wave, NT scheme",
author = "Kovyrkina, {O. A.} and Ostapenko, {V. V.}",
year = "2020",
month = may,
day = "1",
doi = "10.1134/S1064562420030126",
language = "English",
volume = "101",
pages = "209--213",
journal = "Doklady Mathematics",
issn = "1064-5624",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "3",

}

RIS

TY - JOUR

T1 - Accuracy of MUSCL-Type Schemes in Shock Wave Calculations

AU - Kovyrkina, O. A.

AU - Ostapenko, V. V.

PY - 2020/5/1

Y1 - 2020/5/1

N2 - The central-difference Nessyahu–Tadmor (NT) scheme is considered, which is built using second-order MUSCL reconstruction of fluxes. The accuracy of the NT scheme is studied as applied to calculating shock waves propagating with a variable velocity. It is shown that this scheme has the first order of integral convergence on intervals with one of the boundaries lying in the region of influence of the shock wave. As a result, the local accuracy of the NT scheme is significantly reduced in these areas. Test calculations are presented that demonstrate these properties of the NT scheme.

AB - The central-difference Nessyahu–Tadmor (NT) scheme is considered, which is built using second-order MUSCL reconstruction of fluxes. The accuracy of the NT scheme is studied as applied to calculating shock waves propagating with a variable velocity. It is shown that this scheme has the first order of integral convergence on intervals with one of the boundaries lying in the region of influence of the shock wave. As a result, the local accuracy of the NT scheme is significantly reduced in these areas. Test calculations are presented that demonstrate these properties of the NT scheme.

KW - : NT scheme

KW - accuracy of finite-difference scheme

KW - MUSCL flux reconstruction

KW - shock wave

KW - NT scheme

UR - http://www.scopus.com/inward/record.url?scp=85090495809&partnerID=8YFLogxK

U2 - 10.1134/S1064562420030126

DO - 10.1134/S1064562420030126

M3 - Letter

AN - SCOPUS:85090495809

VL - 101

SP - 209

EP - 213

JO - Doklady Mathematics

JF - Doklady Mathematics

SN - 1064-5624

IS - 3

ER -

ID: 25286349