Numerical simulation of a viscoelastic fluid with a preconditioned Schwarz method

• Autorzy: Luís Borges , Adélia Sequeira
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 32G81: Applications to physics
• 46C20: Spaces with indefinite inner product (Kre{\u\i}n spaces, Pontryagin spaces, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2008
• Tom: 81
• Numer: 1
• Strony: 65-80

Daty

wydano

2008

Twórcy

autor

Luís Borges

• Inst. Superior Eng. Lisboa, Área de Mat. and CEMAT/IST, R. Cons. E. Navarro, 1 Lisboa, Portugal

autor

Adélia Sequeira

• Dept. Matemática and CEMAT, Inst. Superior Técnico/UTL, Av. Rovisco Pais, 1049-001 Lisboa, Portugal

Identyfikatory

DOI

10.4064/bc81-0-4