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KIAM Preprint № 13, Moscow, 2020
Authors: Zipunova E. V., Ivanov A.V., Savenkov E. B.
Solution of Reynolds lubrication equation on evolving surfaces
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
Publication language: russian,  pages: 20
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Zipunova Elizaveta Vyacheslavovna,  orcid.org/0000-0001-7109-1702KIAM RAS
  • Ivanov Anton Valerievich,  orcid.org/0000-0001-5132-3748KIAM RAS
  • Savenkov Evgeny Borisovich,  orcid.org/0000-0003-3363-7043KIAM RAS