Numerical simulation of a viscoelastic fluid with a preconditioned Schwarz method

Tom 81 / 2008

Luís Borges, Adélia Sequeira Banach Center Publications 81 (2008), 65-80 MSC: Primary 46C20; Secondary 32G81. DOI: 10.4064/bc81-0-4


In this paper we apply a domain decomposition method to approach the solution of a non-Newtonian viscoelastic Oldroyd-B model. The numerical scheme is based on a fixed-point argument applied to the original non-linear system of partial differential equations decoupled into a Navier-Stokes system and a tensorial transport equation. Using a modified Schwarz algorithm, involving block preconditioners for the Navier-Stokes equations, the decoupled problems are solved iteratively. Numerical simulations on a 4:1 abrupt contraction flow problem are considered to validate the scheme.


  • Luís BorgesInst. Superior Eng. Lisboa
    Área de Mat. and CEMAT/IST
    R. Cons. E. Navarro
    1 Lisboa, Portugal
  • Adélia SequeiraDept. Matemática and CEMAT
    Inst. Superior Técnico/UTL
    Av. Rovisco Pais
    1049-001 Lisboa, Portugal

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