Geodesic
High-order accurate monotone difference schemes for solving gasdynamic problems by Godunov's method with antidiffusion
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 4, pp. 723-734

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

An approach to the construction of high-order accurate monotone difference schemes for solving gasdynamic problems by Godunov’s method with antidiffusion is proposed. Godunov's theorem on monotone schemes is used to construct a new antidiffusion flux limiter in high-order accurate difference schemes as applied to linear advection equations with constant coefficients. The efficiency of the approach is demonstrated by solving linear advection equations with constant coefficients and one-dimensional gasdynamic equations. 
@article{ZVMMF_2011_51_4_a15,
     author = {N. Ya. Moiseev},
     title = {High-order accurate monotone difference schemes for solving gasdynamic problems by {Godunov's} method with antidiffusion},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {723--734},
     publisher = {mathdoc},
     volume = {51},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_4_a15/}
}
TY  - JOUR
AU  - N. Ya. Moiseev
TI  - High-order accurate monotone difference schemes for solving gasdynamic problems by Godunov's method with antidiffusion
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2011
SP  - 723
EP  - 734
VL  - 51
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_4_a15/
LA  - ru
ID  - ZVMMF_2011_51_4_a15
ER  - 
%0 Journal Article
%A N. Ya. Moiseev
%T High-order accurate monotone difference schemes for solving gasdynamic problems by Godunov's method with antidiffusion
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2011
%P 723-734
%V 51
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_4_a15/
%G ru
%F ZVMMF_2011_51_4_a15
N. Ya. Moiseev. High-order accurate monotone difference schemes for solving gasdynamic problems by Godunov's method with antidiffusion. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 4, pp. 723-734. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_4_a15/