This article is cited in 4 papers

Piecewise parabolic method on a local stencil in cylindrical coordinates for fluid dynamics simulations

M. V. Popov

Universite de Savoie, 9, Chemin de Bellevue BP 110, 74941 Annecy-le-Vieux Cedex, France

Abstract: 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.

Key words: PPM, PPML, local stencil, Riemann invariants, Sedov explosion problem, fluid dynamics simulation.

UDC: 519.63

Received: 16.01.2012
Revised: 31.01.2012

 English version: Computational Mathematics and Mathematical Physics, 2012, 52:8, 1186–1201

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