Geodesic
Entropy stability of bicompact schemes in gas dynamics problems
Matematičeskoe modelirovanie, Tome 32 (2020) no. 11, pp. 114-128

Voir la notice de l'article provenant de la source Math-Net.Ru

Fully discrete bicompact schemes of fourth order of approximation in space are examined for entropy stability in gas dynamics problems. Expressions for entropy production rates of these schemes are derived. Qualitative estimations for the behavior of these rates are obtained. Entropy production rates of bicompact schemes of first and third order in time are numerically analyzed in case of one-dimensional Riemann test problems. Based on the results of this analysis, it is concluded whether bicompact schemes need an entropy correction or not.
Keywords: gas dynamics, entropy stability, compact schemes, bicompact schemes. 
@article{MM_2020_32_11_a8,
     author = {M. D. Bragin},
     title = {Entropy stability of bicompact schemes in gas dynamics problems},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {114--128},
     publisher = {mathdoc},
     volume = {32},
     number = {11},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2020_32_11_a8/}
}
TY  - JOUR
AU  - M. D. Bragin
TI  - Entropy stability of bicompact schemes in gas dynamics problems
JO  - Matematičeskoe modelirovanie
PY  - 2020
SP  - 114
EP  - 128
VL  - 32
IS  - 11
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2020_32_11_a8/
LA  - ru
ID  - MM_2020_32_11_a8
ER  - 
%0 Journal Article
%A M. D. Bragin
%T Entropy stability of bicompact schemes in gas dynamics problems
%J Matematičeskoe modelirovanie
%D 2020
%P 114-128
%V 32
%N 11
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2020_32_11_a8/
%G ru
%F MM_2020_32_11_a8
M. D. Bragin. Entropy stability of bicompact schemes in gas dynamics problems. Matematičeskoe modelirovanie, Tome 32 (2020) no. 11, pp. 114-128. http://geodesic.mathdoc.fr/item/MM_2020_32_11_a8/