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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 3, Pages 461–471 (Mi zvmmf9670)  
High-resolution numerical algorithm for one-dimensional scalar conservation laws with a constrained solution

V. M. Goloviznin, A. A. Kanaev

Nuclear Safety Institute, Russian Academy of Sciences, Bol’shaya Tul’skaya ul. 52, Moscow, 115191 Russia
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Abstract: The CABARET computational algorithm is generalized to one-dimensional scalar quasilinear hyperbolic partial differential equations with allowance for inequality constraints on the solution. This generalization can be used to analyze seepage of liquid radioactive wastes through the unsaturated zone.
Key words: CABARET numerical scheme, advection equation with constrained solution, hyperbolic equations.
Received: 16.03.2011
Revised: 10.09.2011
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 3, Pages 400–410
DOI: https://doi.org/10.1134/S0965542512030098
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: V. M. Goloviznin, A. A. Kanaev, “High-resolution numerical algorithm for one-dimensional scalar conservation laws with a constrained solution”, Zh. Vychisl. Mat. Mat. Fiz., 52:3 (2012), 461–471; Comput. Math. Math. Phys., 52:3 (2012), 400–410
Citation in format AMSBIB
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