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Preprints of the Keldysh Institute of Applied Mathematics, 2020, 013, 20 pp.
DOI: https://doi.org/10.20948/prepr-2020-13 (Mi ipmp2804) 		 
Solution of Reynolds lubrication equation on evolving surfaces

E. V. Zipunova, A. V. Ivanov, E. B. Savenkov
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DOI: https://doi.org/10.20948/prepr-2020-13
URL: https://library.keldysh.ru/preprint.asp?id=2020-13&lg=r
Abstract: We consider numerical algorithm for solution of PDEs defined on evolving surfaces with boundary. The approach is based on clsest point projection technique which is used both to contstruct approximations of PDE and to describe surface evolution. The suggested approach is used to solve surface fluid flow inside evolving hydraulic fracture.
Keywords: surface PDEs, closest point projection method, finite elelements method, Reynodls equation.
Document Type: Preprint
Language: Russian
Citation: E. V. Zipunova, A. V. Ivanov, E. B. Savenkov, “Solution of Reynolds lubrication equation on evolving surfaces”, Keldysh Institute preprints, 2020, 013, 20 pp.
Citation in format AMSBIB
\Bibitem{ZipIvaSav20}
\by E.~V.~Zipunova, A.~V.~Ivanov, E.~B.~Savenkov
\paper Solution of Reynolds lubrication equation on evolving surfaces
\jour Keldysh Institute preprints
\yr 2020
\papernumber 013
\totalpages 20
\mathnet{http://mi.mathnet.ru/ipmp2804}
\crossref{https://doi.org/10.20948/prepr-2020-13}
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