Numerical schemes for the Barenblatt model of non-equilibrium two-phase flow in porous media (Articolo in rivista)

Type
Label
  • Numerical schemes for the Barenblatt model of non-equilibrium two-phase flow in porous media (Articolo in rivista) (literal)
Anno
  • 2008-01-01T00:00:00+01:00 (literal)
Alternative label
  • Aregba-Driollet, Denise; Bretti, Gabriella; Natalini, Roberto (2008)
    Numerical schemes for the Barenblatt model of non-equilibrium two-phase flow in porous media
    in Quarterly of applied mathematics
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Aregba-Driollet, Denise; Bretti, Gabriella; Natalini, Roberto (literal)
Pagina inizio
  • 201 (literal)
Pagina fine
  • 231 (literal)
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  • 66 (literal)
Rivista
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  • 31 (literal)
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  • 2 (literal)
Note
  • ISI Web of Science (WOS) (literal)
  • ISI Web of Science (WoS) (literal)
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  • Universite de Bordeaux; University of Salerno; IAC - Consiglio Nazionale delle Ricerche (CNR) (literal)
Titolo
  • Numerical schemes for the Barenblatt model of non-equilibrium two-phase flow in porous media (literal)
Abstract
  • We introduce some numerical approximations to a quasilinear problem proposed by G. I. Barenblatt to describe non-equilibrium two-phase fluid flows in permeable porous media, which apply to secondary oil recovery from natural reservoirs. Taking into account the theoretical results of global existence and uniqueness, we approximate the solutions by three numerical schemes, namely, the Diagonal First Order schemes (DFO and DFO2) and the Diagonal Second Order scheme (DSO). For DFO schemes convergence is proved. The schemes' behaviour is analysed and discussed through some numerical experiments. (literal)
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