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Keldysh Institute preprints, 2014, 065, 24 pages (Mi ipmp1917)  

This article is cited in 3 scientific papers (total in 3 papers)

A quasi-gas dynamic algorithm for numerical solution of shallow water equations in polar coordinates

T. G. Elizarova, M. A. Istomina


Abstract: In this paper authors present a development of quasi-gas dynamic algorithm for hydrodynamic flow simulations in shallow-water approximation in polar coordinate system. A new numerical finite-difference algorithm for shallow-water equations is developed and verified for two analytical equilibrium solutions. The well-balance finite-difference variant of presented scheme is shown.

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Citation: T. G. Elizarova, M. A. Istomina, “A quasi-gas dynamic algorithm for numerical solution of shallow water equations in polar coordinates”, Keldysh Institute preprints, 2014, 065, 24 pp.

Citation in format AMSBIB
\Bibitem{EliIst14}
\by T.~G.~Elizarova, M.~A.~Istomina
\paper A quasi-gas dynamic algorithm for numerical solution of shallow water equations in polar coordinates
\jour Keldysh Institute preprints
\yr 2014
\papernumber 065
\totalpages 24
\mathnet{http://mi.mathnet.ru/ipmp1917}


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  • http://mi.mathnet.ru/eng/ipmp/y2014/p65

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. O. V. Bulatov, T. G. Elizarova, “Regularized shallow water equations for numerical simulation of flows with a moving shoreline”, Comput. Math. Math. Phys., 56:4 (2016), 661–679  mathnet  crossref  crossref  mathscinet  isi  elib
    2. M. A. Istomina, T. G. Elizarova, “Kvazigazodinamicheskii algoritm dlya polyarnoi sistemy koordinat i primer chislennogo modelirovaniya neustoichivostei v akkretsionnom diske”, Preprinty IPM im. M. V. Keldysha, 2016, 092, 25 pp.  mathnet  crossref
    3. T. G. Elizarova, A. A. Zlotnik, M. A. Istomina, “O dvumernom chislennom KGD modelirovanii spiralno-vikhrevykh struktur v akkretsionnykh gazovykh diskakh”, Preprinty IPM im. M. V. Keldysha, 2017, 001, 30 pp.  mathnet  crossref
  • Препринты Института прикладной математики им. М. В. Келдыша РАН
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