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Preprints of the Keldysh Institute of Applied Mathematics, 2020, 034, 18 pp.
DOI: https://doi.org/10.20948/prepr-2020-34 (Mi ipmp2825) 		 
Adaptive artificial viscosity method for the numerical solution of hyperbolic equations and systems

I. V. Popov
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DOI: https://doi.org/10.20948/prepr-2020-34
Abstract: In this paper, the rationale for the adaptive artificial viscosity method (AAV) for solving hyperbolic equations and systems is given. The algorithm for applying the AIV method is described in detail on the example of a system of equations of gas dynamics. Numerical solutions are carried out for the problem of decay of a discontinuity in a one-dimensional and two-dimensional formulation.
Keywords: adaptive artificial viscosity, gas dynamics, finite difference scheme.
Funding agency Grant number
Russian Foundation for Basic Research 18-07-01292_а
18-07-00841_а
18-51-18004_Болг_а
Bibliographic databases:
Document Type: Preprint
Language: Russian
Citation: I. V. Popov, “Adaptive artificial viscosity method for the numerical solution of hyperbolic equations and systems”, Keldysh Institute preprints, 2020, 034, 18 pp.
Citation in format AMSBIB
\Bibitem{Pop20}
\by I.~V.~Popov
\paper Adaptive artificial viscosity method for the numerical solution of hyperbolic equations and systems
\jour Keldysh Institute preprints
\yr 2020
\papernumber 034
\totalpages 18
\mathnet{http://mi.mathnet.ru/ipmp2825}
\crossref{https://doi.org/10.20948/prepr-2020-34}
\elib{https://elibrary.ru/item.asp?id=42841267}
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