A three-field formulation for incompressible viscoelastic fluids

DOI10.1016/j.ijengsci.2010.09.007zbMath1231.76011OpenAlexW2157124331MaRDI QIDQ660645

Arif Masud, Jaehyuk Kwack

Publication date: 4 February 2012

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2010.09.007

zbMATH Keywords

viscoelastic fluidsmixed finite elementsvariational multiscale methodsOldroyd-B modelthree-field formulationstabilized methodsequal-order elements

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (8)

A new generalized Oldroyd-B model for blood flow in complex geometries ⋮ Finite element approximation of the viscoelastic flow problem: a non-residual based stabilized formulation ⋮ Variational multi-scale stabilized formulations for the stationary three-field incompressible viscoelastic flow problem ⋮ Time-Dependent Outflow Boundary Conditions for Blood Flow in the Arterial System ⋮ Logarithmic conformation reformulation in viscoelastic flow problems approximated by a VMS-type stabilized finite element formulation ⋮ First, second and third order fractional step methods for the three-field viscoelastic flow problem ⋮ A stabilized mixed finite element method for shear-rate dependent non-Newtonian fluids: 3D benchmark problems and application to blood flow in bifurcating arteries ⋮ Analysis of a stabilized finite element approximation for a linearized logarithmic reformulation of the viscoelastic flow problem

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