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.
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Original Russian Text © M.V. Popov, 2012, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2012, Vol. 52, No. 8, pp. 1506–1522.
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Popov, M.V. Piecewise parabolic method on a local stencil in cylindrical coordinates for fluid dynamics simulations. Comput. Math. and Math. Phys. 52, 1186–1201 (2012). https://doi.org/10.1134/S096554251208009X
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DOI: https://doi.org/10.1134/S096554251208009X