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Preprints of the Keldysh Institute of Applied Mathematics, 2020, 010, 32 pp.
DOI: https://doi.org/10.20948/prepr-2020-10
(Mi ipmp2801)
 

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

Solving Reynolds lubrication equations using closest point projection method

E. V. Zipunova, E. B. Savenkov
References:
Abstract: In this paper we consider application of the closest point projection method to solution of Reynolds lubrication equation. The main application is thin film flow simulation in fracture during hydraulic fracturing procedure. The problems considered in the paper include model heat tranport equation, fracture flow in planar and non-planar fractures with pressure independent and pressure dependent opening. The goal of the paper is a ganeral testing of the approach for the considered class of problems.
Keywords: closest point projection method, finite element method, hydraulic fracture, Reynolds lubrication equations.
Document Type: Preprint
Language: Russian
Citation: E. V. Zipunova, E. B. Savenkov, “Solving Reynolds lubrication equations using closest point projection method”, Keldysh Institute preprints, 2020, 010, 32 pp.
Citation in format AMSBIB
\Bibitem{ZipSav20}
\by E.~V.~Zipunova, E.~B.~Savenkov
\paper Solving Reynolds lubrication equations using closest point projection method
\jour Keldysh Institute preprints
\yr 2020
\papernumber 010
\totalpages 32
\mathnet{http://mi.mathnet.ru/ipmp2801}
\crossref{https://doi.org/10.20948/prepr-2020-10}
Linking options:
  • https://www.mathnet.ru/eng/ipmp2801
  • https://www.mathnet.ru/eng/ipmp/y2020/p10
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Препринты Института прикладной математики им. М. В. Келдыша РАН
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    Full-text PDF :77
    References:29
     
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