Geodesic
Third-order accurate finite-volume method on a triangular grid
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 10, pp. 1918-1930

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

A third-order accurate finite-volume method on triangular grids is proposed for the numerical solution of conservation law systems. The method is described in detail as applied to the advection equation. The accuracy of its numerical solutions obtained on grids of various degrees of detail is compared. The viscous flow over a plate and the unsteady flow around a cylinder are solved. For comparison purposes, the latter problem is also solved using third- and fifth-order accurate compact approximations. 
@article{ZVMMF_2011_51_10_a14,
     author = {D. A. Shirobokov},
     title = {Third-order accurate finite-volume method on a~triangular grid},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1918--1930},
     publisher = {mathdoc},
     volume = {51},
     number = {10},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_10_a14/}
}
TY  - JOUR
AU  - D. A. Shirobokov
TI  - Third-order accurate finite-volume method on a triangular grid
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2011
SP  - 1918
EP  - 1930
VL  - 51
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_10_a14/
LA  - ru
ID  - ZVMMF_2011_51_10_a14
ER  - 
%0 Journal Article
%A D. A. Shirobokov
%T Third-order accurate finite-volume method on a triangular grid
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2011
%P 1918-1930
%V 51
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_10_a14/
%G ru
%F ZVMMF_2011_51_10_a14
D. A. Shirobokov. Third-order accurate finite-volume method on a triangular grid. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 10, pp. 1918-1930. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_10_a14/