On a compact finite-difference scheme of the third order of weak approximation

Standard

On a compact finite-difference scheme of the third order of weak approximation. / Ostapenko, V. V.; Polunina, E. I.; Khandeeva, N. A.

в: Journal of Physics: Conference Series, Том 1359, № 1, 012072, 21.11.2019.

Результаты исследований: Научные публикации в периодических изданиях › статья по материалам конференции › Рецензирование

BibTeX

@article{b8b7cbc17da146eeb9f4122ca02841cb,

title = "On a compact finite-difference scheme of the third order of weak approximation",

abstract = "The stability and accuracy of compact difference schemes with artificial viscosities of the fourth divergence order are studied. These schemes have a third order both of classical approximation on smooth solutions and weak approximation on discontinuous solutions. As a result of the stability analysis of these schemes in the linear approximation, the optimal values of their viscosity coefficients were obtained. Test calculations are presented to demonstrate the advantages of the new compact scheme compared to the TVD and WENO schemes when calculating discontinuous solutions with shock waves.",

author = "Ostapenko, {V. V.} and Polunina, {E. I.} and Khandeeva, {N. A.}",

year = "2019",

month = nov,

day = "21",

doi = "10.1088/1742-6596/1359/1/012072",

language = "English",

volume = "1359",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

note = "4th All-Russian Scientific Conference Thermophysics and Physical Hydrodynamics with the School for Young Scientists, TPH 2019 ; Conference date: 15-09-2019 Through 22-09-2019",

}

RIS

TY - JOUR

T1 - On a compact finite-difference scheme of the third order of weak approximation

AU - Ostapenko, V. V.

AU - Polunina, E. I.

AU - Khandeeva, N. A.

PY - 2019/11/21

Y1 - 2019/11/21

N2 - The stability and accuracy of compact difference schemes with artificial viscosities of the fourth divergence order are studied. These schemes have a third order both of classical approximation on smooth solutions and weak approximation on discontinuous solutions. As a result of the stability analysis of these schemes in the linear approximation, the optimal values of their viscosity coefficients were obtained. Test calculations are presented to demonstrate the advantages of the new compact scheme compared to the TVD and WENO schemes when calculating discontinuous solutions with shock waves.

AB - The stability and accuracy of compact difference schemes with artificial viscosities of the fourth divergence order are studied. These schemes have a third order both of classical approximation on smooth solutions and weak approximation on discontinuous solutions. As a result of the stability analysis of these schemes in the linear approximation, the optimal values of their viscosity coefficients were obtained. Test calculations are presented to demonstrate the advantages of the new compact scheme compared to the TVD and WENO schemes when calculating discontinuous solutions with shock waves.

UR - http://www.scopus.com/inward/record.url?scp=85076475632&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1359/1/012072

DO - 10.1088/1742-6596/1359/1/012072

M3 - Conference article

AN - SCOPUS:85076475632

VL - 1359

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012072

T2 - 4th All-Russian Scientific Conference Thermophysics and Physical Hydrodynamics with the School for Young Scientists, TPH 2019

Y2 - 15 September 2019 through 22 September 2019

ER -

ID: 22995313