Standard

Study of Entropy Properties of a Linearized Version of Godunov’s Method. / Godunov, S. K.; Denisenko, V. V.; Klyuchinskii, D. V. et al.

In: Computational Mathematics and Mathematical Physics, Vol. 60, No. 4, 01.04.2020, p. 628-640.

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

Harvard

Godunov, SK, Denisenko, VV, Klyuchinskii, DV, Fortova, SV & Shepelev, VV 2020, 'Study of Entropy Properties of a Linearized Version of Godunov’s Method', Computational Mathematics and Mathematical Physics, vol. 60, no. 4, pp. 628-640. https://doi.org/10.1134/S0965542520040089

APA

Godunov, S. K., Denisenko, V. V., Klyuchinskii, D. V., Fortova, S. V., & Shepelev, V. V. (2020). Study of Entropy Properties of a Linearized Version of Godunov’s Method. Computational Mathematics and Mathematical Physics, 60(4), 628-640. https://doi.org/10.1134/S0965542520040089

Vancouver

Godunov SK, Denisenko VV, Klyuchinskii DV, Fortova SV, Shepelev VV. Study of Entropy Properties of a Linearized Version of Godunov’s Method. Computational Mathematics and Mathematical Physics. 2020 Apr 1;60(4):628-640. doi: 10.1134/S0965542520040089

Author

Godunov, S. K. ; Denisenko, V. V. ; Klyuchinskii, D. V. et al. / Study of Entropy Properties of a Linearized Version of Godunov’s Method. In: Computational Mathematics and Mathematical Physics. 2020 ; Vol. 60, No. 4. pp. 628-640.

BibTeX

@article{4f35764bbff34b43ac72be6ffa45d294,
title = "Study of Entropy Properties of a Linearized Version of Godunov{\textquoteright}s Method",
abstract = "The ideas of formulating a weak solution for a hyperbolic system of one-dimensional gas dynamics equations are presented. An important aspect is the examination of the scheme for the fulfillment of the nondecreasing entropy law, which must hold for weak solutions and is obligatory from a physics point of view. The concept of a weak solution is defined in a finite-difference formulation with the help of the simplest linearized version of the classical Godunov scheme. It is experimentally shown that this version guarantees an entropy nondecrease. As a result, the growth of entropy on shock waves can be simulated without using any correction terms or additional conditions.",
keywords = "discontinuous solutions, entropy nondecrease, gas dynamics equations, Godunov{\textquoteright}s scheme, Riemann problem, shock waves, weak solution",
author = "Godunov, {S. K.} and Denisenko, {V. V.} and Klyuchinskii, {D. V.} and Fortova, {S. V.} and Shepelev, {V. V.}",
year = "2020",
month = apr,
day = "1",
doi = "10.1134/S0965542520040089",
language = "English",
volume = "60",
pages = "628--640",
journal = "Computational Mathematics and Mathematical Physics",
issn = "0965-5425",
publisher = "PLEIADES PUBLISHING INC",
number = "4",

}

RIS

TY - JOUR

T1 - Study of Entropy Properties of a Linearized Version of Godunov’s Method

AU - Godunov, S. K.

AU - Denisenko, V. V.

AU - Klyuchinskii, D. V.

AU - Fortova, S. V.

AU - Shepelev, V. V.

PY - 2020/4/1

Y1 - 2020/4/1

N2 - The ideas of formulating a weak solution for a hyperbolic system of one-dimensional gas dynamics equations are presented. An important aspect is the examination of the scheme for the fulfillment of the nondecreasing entropy law, which must hold for weak solutions and is obligatory from a physics point of view. The concept of a weak solution is defined in a finite-difference formulation with the help of the simplest linearized version of the classical Godunov scheme. It is experimentally shown that this version guarantees an entropy nondecrease. As a result, the growth of entropy on shock waves can be simulated without using any correction terms or additional conditions.

AB - The ideas of formulating a weak solution for a hyperbolic system of one-dimensional gas dynamics equations are presented. An important aspect is the examination of the scheme for the fulfillment of the nondecreasing entropy law, which must hold for weak solutions and is obligatory from a physics point of view. The concept of a weak solution is defined in a finite-difference formulation with the help of the simplest linearized version of the classical Godunov scheme. It is experimentally shown that this version guarantees an entropy nondecrease. As a result, the growth of entropy on shock waves can be simulated without using any correction terms or additional conditions.

KW - discontinuous solutions

KW - entropy nondecrease

KW - gas dynamics equations

KW - Godunov’s scheme

KW - Riemann problem

KW - shock waves

KW - weak solution

UR - http://www.scopus.com/inward/record.url?scp=85086155273&partnerID=8YFLogxK

U2 - 10.1134/S0965542520040089

DO - 10.1134/S0965542520040089

M3 - Article

AN - SCOPUS:85086155273

VL - 60

SP - 628

EP - 640

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 4

ER -

ID: 24518869