Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     title = {Piecewise parabolic method on a~local stencil in cylindrical coordinates for fluid dynamics simulations},
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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/

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