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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 8, Pages 1506–1522 (Mi zvmmf9694)  
This article is cited in 4 scientific papers (total 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
Full-text PDF (767 kB) Citations (4)
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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.
Received: 16.01.2012
Revised: 31.01.2012
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 8, Pages 1186–1201
DOI: https://doi.org/10.1134/S096554251208009X
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: M. V. Popov, “Piecewise parabolic method on a local stencil in cylindrical coordinates for fluid dynamics simulations”, Zh. Vychisl. Mat. Mat. Fiz., 52:8 (2012), 1506–1522; Comput. Math. Math. Phys., 52:8 (2012), 1186–1201
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:61
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