Piecewise parabolic method on a local stencil in cylindrical coordinates for fluid dynamics simulations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 8, pp. 1506-1522
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A PPML algorithm for the simulation of hydrodynamic flows on a cylindrical grid is described. The algorithm is based on a local stencil variant of the popular piecewise parabolic method (PPM). Numerical results obtained a point explosion in a homogeneous medium (Sedov self-similar solution) are presented.
@article{ZVMMF_2012_52_8_a11,
author = {M. V. Popov},
title = {Piecewise parabolic method on a~local stencil in cylindrical coordinates for fluid dynamics simulations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1506--1522},
publisher = {mathdoc},
volume = {52},
number = {8},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_8_a11/}
}
TY - JOUR AU - M. V. Popov TI - Piecewise parabolic method on a local stencil in cylindrical coordinates for fluid dynamics simulations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2012 SP - 1506 EP - 1522 VL - 52 IS - 8 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_8_a11/ LA - ru ID - ZVMMF_2012_52_8_a11 ER -
%0 Journal Article %A M. V. Popov %T Piecewise parabolic method on a local stencil in cylindrical coordinates for fluid dynamics simulations %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2012 %P 1506-1522 %V 52 %N 8 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_8_a11/ %G ru %F ZVMMF_2012_52_8_a11
M. V. Popov. Piecewise parabolic method on a local stencil in cylindrical coordinates for fluid dynamics simulations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 8, pp. 1506-1522. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_8_a11/