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Computing Multivalued Solutions of Pressureless Gas Dynamics by Deterministic Particle Methods

Computing Multivalued Solutions of Pressureless Gas Dynamics by Deterministic Particle Methods

Year:    2009

Author:    Alina Chertock, Alexander Kurganov

Communications in Computational Physics, Vol. 5 (2009), Iss. 2-4 : pp. 565–581

Abstract

We compute multivalued solutions of one- and two-dimensional pressureless gas dynamics equations by deterministic particle methods. Point values of the computed solutions are to be recovered from their singular particle approximations using some smoothing procedure. We study several recovery strategies and demonstrate ability of the particle methods to achieve high resolution. 

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2009-CiCP-7750

Communications in Computational Physics, Vol. 5 (2009), Iss. 2-4 : pp. 565–581

Published online:    2009-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:   

Author Details

Alina Chertock

Alexander Kurganov