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Keldysh Institute preprints, 2017, 068, 21 pp. (Mi ipmp2284)  

This article is cited in 2 scientific papers (total in 2 papers)

Construction of difference scheme with high order approximation with adaptive artificial viscosity for nonlinear advection equation

I. V. Popov


Abstract: The paper describes the adaptive artificial viscosity (AAV) method applied for simulation of one-dimensional non-linear advection process. A finite difference scheme with high order approximation on time and on space was constructed. The analysis of this scheme on monotone, stability and convergence was provided. The comparison of solution of proposed scheme with exact solution was fulfilled.

Keywords: nonlinear advection equation, adaptive artificial viscosity, finite difference scheme.

Funding Agency Grant Number
Russian Foundation for Basic Research 15-01-04620-а
16-07-00519-а
16-29-15095-офи-м


DOI: https://doi.org/10.20948/prepr-2017-68

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Citation: I. V. Popov, “Construction of difference scheme with high order approximation with adaptive artificial viscosity for nonlinear advection equation”, Keldysh Institute preprints, 2017, 068, 21 pp.

Citation in format AMSBIB
\Bibitem{Pop17}
\by I.~V.~Popov
\paper Construction of difference scheme with high order approximation with adaptive artificial viscosity for nonlinear advection equation
\jour Keldysh Institute preprints
\yr 2017
\papernumber 068
\totalpages 21
\mathnet{http://mi.mathnet.ru/ipmp2284}
\crossref{https://doi.org/10.20948/prepr-2017-68}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. I. V. Popov, Yu. A. Poveschenko, S. V. Polyakov, P. I. Ragimli, “Ob odnom podkhode k postroeniyu konservativnoi raznostnoi skhemy dlya zadachi dvukhfaznoi filtratsii”, Preprinty IPM im. M. V. Keldysha, 2017, 069, 12 pp.  mathnet  crossref
    2. I. V. Popov, “Metod adaptivnoi iskusstvennoi vyazkosti dlya chislennogo resheniya giperbolicheskikh uravnenii i sistem”, Preprinty IPM im. M. V. Keldysha, 2020, 034, 18 pp.  mathnet  crossref  elib
  • Препринты Института прикладной математики им. М. В. Келдыша РАН
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